This document is intended to give an overview of the main conclusions reached from recent developments in light-speed research. In order to do this effectively, it has been necessary to include background information, which, for a few, will already be well-known. However, for the sake of the majority who are not conversant with these areas of physics, it was felt important to include this information. While this overview is comprehensive, the actual derivation of many conclusions is beyond its scope. These derivations have, nevertheless, been fully performed in a major scientific paper using standard maths and physics coupled with observational data. Full justification of the conclusions mentioned here can be found in that technical thesis. Currently, that paper in which the new model is presented, is being finalised for peer review and will be made available once this whole process is complete.
During the 20th century, our knowledge regarding space and the properties of the vacuum has taken a considerable leap forward. The vacuum is more unusual than many people realise. It is popularly considered to be a void, an emptiness, or just 'nothingness.' This is the definition of a bare vacuum . However, as science has learned more about the properties of space, a new and contrasting description has arisen, which physicists call the physical vacuum .
To understand the difference between these two definitions, imagine you have a perfectly sealed container. First remove all solids and liquids from it, and then pump out all gases so no atoms or molecules remain. There is now a vacuum in the container. It was this concept in the 17th century that gave rise to the definition of a vacuum as a totally empty volume of space. It was later discovered that, although this vacuum would not transmit sound, it would transmit light and all other wavelengths of the electromagnetic spectrum. Starting from the high energy side, these wavelengths range from very short wavelength gamma rays, X-rays, and ultra-violet light, through the rainbow spectrum of visible light, to low energy longer wavelengths including infra-red light, microwaves and radio waves.
THE ENERGY IN THE VACUUM
Then, late in the 19th century, it was realised that the vacuum could still contain heat or thermal radiation. If our container with the vacuum is now perfectly insulated so no heat can get in or out, and if it is then cooled to absolute zero, all thermal radiation will have been removed. Does a complete vacuum now exist within the container? Surprisingly, this is not the case. Both theory and experiment show that this vacuum still contains measurable energy. This energy is called the zero-point energy (ZPE) because it exists even at absolute zero.
The ZPE was discovered to be a universal phenomenon, uniform and all-pervasive on a large scale. Therefore, its existence was not suspected until the early 20th century. In 1911, while working with a series of equations describing the behaviour of radiant energy from a hot body, Max Planck found that the observations required a term in his equations that did not depend on temperature. Other physicists, including Einstein, found similar terms appearing in their own equations. The implication was that, even at absolute zero, each body would have some residual energy. Experimental evidence soon built up hinting at the existence of the ZPE, although its fluctuations do not become significant enough to be observed until the atomic level is attained. For example , the ZPE can explain why cooling alone will never freeze liquid helium. Unless pressure is applied, these ZPE fluctuations prevent helium's atoms from getting close enough to permit solidification. In electronic circuits another problem surfaces because ZPE fluctuations cause a random "noise" that places limits on the level to which signals can be amplified.
The magnitude of the ZPE is truly large. It is usually quoted in terms of energy per unit of volume, which is referred to as energy density. Well-known physicist Richard Feynman and others  have pointed out that the amount of ZPE in one cubic centimetre of the vacuum "is greater than the energy density in an atomic nucleus" . Indeed, it has been stated that : "Formally, physicists attribute an infinite amount of energy to this background. But, even when they impose appropriate cutoffs at high frequency, they estimate conservatively that the zero-point density is comparable to the energy density inside an atomic nucleus." In an atomic nucleus alone, the energy density is of the order of 1044 ergs per cubic centimetre. (An erg is defined as "the energy expended or work done when a mass of 1 gram undergoes an acceleration of 1 centimetre per second per second over a distance of 1 centimetre.")
Estimates of the energy density of the ZPE therefore range
from at least 1044 ergs per cubic centimetre up to
infinity. For example, Jon Noring made the statement that "Quantum
Mechanics predicts the energy density [of the ZPE] is on the order
of an incomprehensible 1098 ergs per cubic centimetre."
Prigogine and Stengers also analysed the situation and provided
estimates of the size of the ZPE ranging from 10100
ergs per cubic centimetre up to infinity. In case this is dismissed
as fanciful, Stephen M. Barnett from the University of Oxford,
writing in Nature (March 22, 1990, p.289), stated:
"The mysterious nature of the vacuum [is] revealed by
quantum electrodynamics. It is not an empty nothing, but contains
randomly fluctuating electromagnetic fields with an infinite zero-point
energy." In actual practice, recent work suggests there
may be an upper limit for the estimation of the ZPE at about 10114
ergs per cubic centimetre (this upper limit is imposed by the
Planck length, as discussed below).
In order to appreciate the magnitude of the ZPE in each cubic centimetre of space, consider a conservative estimate of 1052 ergs/cc. Most people are familiar with the light bulbs with which we illuminate our houses. The one in my office is labelled as 150 watts. (A watt is defined as 107 ergs per second.) By comparison, our sun radiates energy at the rate of 3.8 x 1020 watts. In our galaxy there are in excess of 100 billion stars. If we assume they all radiate at about the same intensity as our sun, then the amount of energy expended by our entire galaxy of stars shining for one million years is roughly equivalent to the energy locked up in one cubic centimetre of space.
THE "GRANULAR STRUCTURE" OF SPACE
In addition to the ZPE, there is another aspect of the physical vacuum that needs to be presented. When dealing with the vacuum, size considerations are all-important. On a large scale the physical vacuum has properties that are uniform throughout the cosmos, and seemingly smooth and featureless. However, on an atomic scale, the vacuum has been described as a "seething sea of activity" , or "the seething vacuum" . It is in this realm of the very small that our understanding of the vacuum has increased. The size of the atom is about 10-8 centimetres. The size of an atomic particle, such as an electron, is about 10-13 centimetres. As the scale becomes smaller, there is a major change at the Planck length (1.616 x 10-33 centimetres), which we will designate as L* . In 1983, F. M. Pipkin and R. C. Ritter pointed out in Science (vol. 219, p.4587), that "the Planck length is a length at which the smoothness of space breaks down, and space assumes a granular structure."
This "granular structure" of space, to use Pipkin and Ritter's phrase, is considered to be made up of Planck particles whose diameter is equal to L*, and whose mass is equal to a fundamental unit called the Planck mass, M*, (2.177 x 10-5 grams). These Planck particles form the basis for various cosmological theories such as strings, super strings, 10-dimensional space, and so on. During the last hundred years, physicists have discovered that atomic particles such as electrons or protons, have a wave-form associated with them. This is termed the wave/particle duality of matter. These waves are called de Broglie waves and vary inversely with mass . That is to say, the heavier the particle, the shorter its wavelength. This means that because a proton is more massive, its wavelength is shorter than an electron's. What is interesting and important is that Planck particles have a diameter L* that is equal to their de Broglie wavelength.
The physical vacuum of space therefore appears to be made up of an all-pervasive sea of Planck particles whose density is an unbelievable 3.6 x 1093 grams per cubic centimetre. It might be wondered how anything can move through such a medium. It is because de Broglie wavelengths of elementary particles are so long compared with the Planck length, L*, that the vacuum is 'transparent' to these elementary particles. It is for the same reason that long wavelength infrared light can travel through a dense cloud in space and reveal what is within instead of being absorbed, and why light can pass through dense glass. Therefore, motion of elementary particles through the vacuum will be effortless, as long as these particles do not have energies of the magnitude of what is referred to as Planck energy, or M* c2 ('c' is the velocity of light). Atomic particles of that energy would simply be absorbed by the structure of the vacuum. From the figures for the density given above, the energy associated with this Planck particle sea making up the physical vacuum can be calculated to be of the order of 10114 ergs per cubic centimetre, the same as the maximum value for the ZPE.
TWO THEORIES DESCRIBING THE VACUUM
Currently, there are two theories that describe the behaviour and characteristics of the physical vacuum and the ZPE at the atomic or sub-atomic level: the quantum electro-dynamic (QED) model , and the somewhat more recent stochastic electro-dynamic (SED) model [9,10]. They both give the same answers mathematically, so the choice between them is one of aesthetics. In some cases the QED model gives results that are easier to visualise; in other cases the SED model is better. Importantly, both come to the same conclusion that even at absolute zero the physical vacuum has an inherent energy density. The origin of this energy is discussed later. For now, the focus of attention is on the observable effects of this energy. The QED model maintains that the zero-point energy reveals its existence through the effects of sub-atomic virtual particles. By contrast, the SED approach affirms that the ZPE exists as electromagnetic fields or waves whose effects explain the observed phenomena equally well. Let us look at both in a little more detail.
THE QED MODEL OF THE VACUUM
At the atomic level, the QED model proposes that, because of the high inherent energy density within the vacuum, some of this energy can be temporarily converted to mass. This is possible since energy and mass can be converted from one to the other according to Einstein's famous equation [E = m c2], where 'E' is energy, 'm' is mass, and 'c' is the speed of light. On this basis, the QED model proposes that the ZPE permits short-lived particle/antiparticle pairs (such as a positive and negative pion, or perhaps an electron and positron) to form and almost immediately annihilate each other [2,11]. These particle/antiparticle pairs are called virtual particles. Virtual particles are distinct from Planck particles that make up the structure of the vacuum. While virtual particles are, perhaps, about 10-13 centimetres diameter, Planck particles are dramatically smaller at about 10-33 cm. Virtual particles flip in and out of existence incredibly quickly. The exact relationship between the energy of these particles and the brief time of their existence is explained in quantum theory by Heisenberg's uncertainty principle.
The Heisenberg uncertainty principle states that the uncertainty of time multiplied by the uncertainty of the energy is closely approximated to Planck's constant 'h' divided by 2p. This quantum uncertainty, or indeterminacy, governed by the value of 'h', imposes fundamental limitations on the precision with which a number of physical quantities associated with atomic processes can be measured. In the case under consideration here, the uncertainty principle permits these virtual particle events to occur as long as they are completed within an extraordinarily brief period of time, which is of the order of 10-23 seconds . According to this QED model, an atomic particle such as a proton or electron, even when entirely alone in a vacuum at absolute zero, is continually emitting and absorbing these virtual particles from the vacuum .
Consequently, a proton or electron is considered to be the centre of constant activity; it is surrounded by a cloud of virtual particles with which it is interacting . In the case of the electron, physicists have been able to penetrate a considerable way into this virtual particle cloud. They have found that the further into the cloud they go, the smaller, more compact and point-like the electron becomes. At the same time they have discovered there is a more pronounced negative charge associated with the electron the further they penetrated into this cloud . These virtual particles act in such a way as to screen the full electronic charge. There is a further important effect verified by observation and experiment: the absorption and emission of these virtual particles also causes the electron's "jitter motion" in a vacuum at absolute zero. As such, this jittering, or Zitterbewegung, as it is officially called , constitutes evidence for the existence of virtual particles and the ZPE of the vacuum.
THE SED MODEL OF THE VACUUM
In the SED approach, the vacuum at the atomic or sub-atomic level may be considered to be inherently comprised of a turbulent sea of randomly fluctuating electro-magnetic fields or waves. These waves exist at all wavelengths longer than the Planck length L*. At the macroscopic level, these all-pervasive zero-point fields (ZPF) are homogeneous and isotropic, which means they have the same properties uniformly in every direction throughout the whole cosmos. Furthermore, observation shows that this zero-point radiation (ZPR) must be "Lorentz invariant" . This means that it must look the same to two observers no matter what the velocity of these observers is with respect to each other. Note that this Lorentz invariance makes the ZPF crucially different from any of the 19th century concepts of an ether . The old ether concept indicated absolute velocity through the ether could be determined. However, the Lorentz invariant condition indicates that the zero-point radiation will look the same to all observers regardless of their relative velocities.
Importantly, with the SED approach, Planck's quantum constant, 'h', becomes a measure of the strength of the ZPF. This situation arises because the fluctuations of the ZPF provide an irreducible random noise at the atomic level that is interpreted as the innate uncertainty described by Heisenberg's uncertainly principle [4,16]. Therefore, the zero-point fields are the ultimate source of this fundamental limitation with which we can measure some atomic phenomena and, as such, give rise to the indeterminacy or uncertainty of quantum theory mentioned above. In fact, Nelson pointed out in 1966 that if the ZPR had been discovered at the beginning of the 20th century, then classical mechanics plus the ZPR could have formulated nearly all the results developed by quantum mechanics [17, 4].
In the SED explanation, the Zitterbewegung is accounted for by the random fluctuations of the ZPF, or waves, as they impact upon the electron and jiggle it around. There is also evidence for the existence of the zero-point energy in this model by something called the surface Casimir effect, predicted Hendrik Casimir, the Dutch scientist, in 1948 and confirmed nine years later by M. J. Sparnaay of the Philips Laboratory in Eindhoven, Holland . The Casimir effect can be demonstrated by bringing two large metal plates very close together in a vacuum. When they are close, but not touching, there is a small but measurable force that pushes them together. The SED theory explains this simply. As the metal plates get closer, they end up excluding all wavelengths of the ZPF between the plates except the very short ones that are a sub-multiple of the plates' distance apart. In other words, all the long wavelengths of the ZPF are now acting on the plates from the outside. The combined radiation pressure of these external waves then forces the plates together [5,16]. The same effect can be seen on the ocean. Sailors have noted that if the distance between two boats is less than the distance between two wave crests (or one wavelength), the boats are forced towards each other.
The Casimir effect is directly proportional to the area of the plates. However, unlike other possible forces with which it may be confused, the Casimir force is inversely proportional to the fourth power of the plates' distance apart . For plates with an area of one square centimetre separated by 0.5 thousandths of a millimetre, this force is equivalent to a weight of 0.2 milligrams. In January of 1997, Steven Lamoreaux reported verification of these details by an experiment reported in Physical Review Letters (vol.78, p5).
The surface Casimir effect therefore demonstrates the existence of the ZPE in the form of electromagnetic waves. Interestingly, Haisch, Rueda, Puthoff and others point out that there is a microscopic version of the same phenomenon. In the case of closely spaced atoms or molecules the all-pervasive ZPF result in short-range attractive forces that are known as van der Waals forces [4,16]. It is these attractive forces that permit real gases to be turned into liquids . (When an 'ideal' gas is compressed, it behaves in a precise way. When a real gas is compressed, its behaviour deviates from the ideal equation ).
The common objections to the actual existence of the zero-point energy centre around the idea that it is simply a theoretical construct. However the presence of both the Casimir effect and the Zitterbewegung, among other observational evidences, prove the reality of the ZPE.
LIGHT AND THE PROPERTIES OF SPACE
This intrinsic energy, the ZPE, which is inherent in the vacuum, gives free space its various properties. For example, the magnetic property of free space is called the permeability while the corresponding electric property is called the permittivity. Both of these are affected uniformly by the ZPE . If they were not, the electric and magnetic fields in travelling light waves would no longer bear a constant ratio to each other, and light from distant objects would be noticeably affected . Since the vacuum permeability and permittivity are also energy-related quantities, they are directly proportional to the energy per unit volume (the energy density) of the ZPE . It follows that if the energy density of the ZPE ever increased, then there would be a proportional increase in the value of both the permeability and permittivity.
Because light waves are an electro-magnetic phenomenon, their motion through space is affected by the electric and magnetic properties of the vacuum, namely the permittivity and permeability. To examine this in more detail we closely follow a statement by Lehrman and Swartz . They pointed out that light waves consist of changing electric fields and magnetic fields. Generally, any magnetic field resulting from a change in an electric field must be such as to oppose the change in the electric field, according to Lenz's Law. This means that the magnetic property of space has a kind of inertial property inhibiting the rapid change of the fields. The magnitude of this property is the magnetic constant of free space 'U' which is usually called the magnetic permeability of the vacuum.
The electric constant, or permittivity, of free space is also important, and is related to electric charges. A charge represents a kind of electrical distortion of space, which produces a force on neighbouring charges. The constant of proportionality between the interacting charges is 1/Q, which describes a kind of electric elastic property of space. The quantity Q is usually called the electric permittivity of the vacuum. It is established physics that the velocity of a wave motion squared is proportional to the ratio of the elasticity over the inertia of the medium in which it is travelling. In the case of the vacuum and the speed of light, c, this standard equation becomes
As noted above, both U and Q are directly proportional to the energy density of the ZPE. It therefore follows that any increase in the energy density of the ZPF will not only result in a proportional increase in U and Q, but will also cause a decrease in the speed of light, c.
WHY ATOMS DON'T SELF-DESTRUCT
But it is not only light that is affected by these properties of the vacuum. It has also been shown that the atomic building blocks of matter are dependent upon the ZPE for their very existence. This was clearly demonstrated by Dr. Hal Puthoff of the Institute for Advanced Studies in Austin, Texas. In Physical Review D, vol. 35:10, and later in New Scientist (28 July 1990), Puthoff started by pointing out an anomaly. According to classical concepts, an electron in orbit around a proton should be radiating energy. As a consequence, as it loses energy, it should spiral into the atomic nucleus, causing the whole structure to disappear in a flash of light. But that does not happen. When you ask a physicist why it does not happen, you will be told it is because of Bohr's quantum condition. This quantum condition states that electrons in specific orbits around the nucleus do not radiate energy. But if you ask why not, or alternatively, if you ask why the classical laws of electro-magnetics are violated in this way, the reply may give the impression of being less than satisfactory .
Instead of ignoring the known laws of physics, Puthoff approached this problem with the assumption that the classical laws of electro-magnetics were valid, and that the electron is therefore losing energy as it speeds in its orbit around the nucleus. He also accepted the experimental evidence for the existence of the ZPE in the form of randomly fluctuating electro-magnetic fields or waves. He calculated the power the electron lost as it moved in its orbit, and then calculated the power that the electron gained from the ZPF. The two turned out to be identical; the loss was exactly made up for by the gain. It was like a child on a swing: just as the swing started to slow, it was given another push to keep it going. Puthoff then concluded that without the ZPF inherent within the vacuum, every atom in the universe would undergo instantaneous collapse [4, 23]. In other words, the ZPE is maintaining all atomic structures throughout the entire cosmos.
THE RAINBOW SPECTRUM
Knowing that light itself is affected by the zero-point energy, phenomena associated with light need to be examined. When light from the sun is passed through a prism, it is split up into a spectrum of seven colours. Falling rain acts the same way, and the resulting spectrum is called a rainbow. Just like the sun and other stars making up our own galaxy, distant galaxies each have a rainbow spectrum. From 1912 to 1922, Vesto Slipher at the Lowell Observatory in Arizona recorded accurate spectrographic measurements of light from 42 galaxies [24, 25]. When an electron drops from an outer atomic orbit to an inner orbit, it gives up its excess energy as a flash of light of a very specific wavelength. This causes a bright emission line in the colour spectrum. However when an electron jumps to a higher orbit, energy is absorbed and instead of a bright emission line, the reverse happens a dark absorption line appears in the spectrum. Each element has a very specific set of spectral lines associated with it. Within the spectra of the sun, stars or distant galaxies these same spectral lines appear.
THE REDSHIFT OF LIGHT FROM GALAXIES
Slipher noted that in distant galaxies this familiar pattern of lines was shifted systematically towards the red end of the spectrum. He concluded that this redshift of light from these galaxies was a Doppler effect caused by these galaxies moving away from us. The Doppler effect can be explained by what happens to the pitch of a siren on a police car as it moves away from you. The tone drops. Slipher concluded that the redshift of the spectral lines to longer wavelengths was similarly due to the galaxies receding from us. For that reason, this redshift is usually expressed as a velocity, even though as late as 1960 some astronomers were seeking other explanations . In 1929, Edwin Hubble plotted the most recent distance measurements of these galaxies on one axis, with their redshift recession velocity on the other. He noted that the further away the galaxies were, the higher were their redshifts .
It was concluded that if the redshift represented receding galaxies, and the redshift increased in direct proportion to the galaxies distances from us, then the entire universe must be expanding . The situation is likened to dots on the surface of a balloon being inflated. As the balloon expands, each dot appears to recede from every other dot. A slightly more complete picture was given by relativity theory. Here space itself is considered to be expanding, carrying the galaxies with it. According this interpretation, light from distant objects has its wavelength stretched or reddened in transit because the space in which it is travelling is expanding.
THE REDSHIFT GOES IN JUMPS
This interpretation of the redshift is held by a majority of astronomers. However, in 1976, William Tifft of the Steward Observatory in Tucson, Arizona, published the first of a number of papers analysing redshift measurements. He observed that the redshift measurements did not change smoothly as distance increased, but went in jumps: in other words they were quantised . Between successive jumps, the redshift remained fixed at the value it attained at the last jump. This first study was by no means exhaustive, so Tifft investigated further. As he did so, he discovered that the original observations that suggested a quantised redshift were strongly supported wherever he looked [27 - 34]. In 1981 the extensive Fisher-Tully redshift survey was completed. Because redshift values in this survey were not clustered in the way Tifft had noted earlier, it looked as if redshift quantisation could be ruled out. However, in 1984 Tifft and Cocke pointed out that the motion of the sun and its solar system through space produces a genuine Doppler effect of its own, which adds or subtracts a little to every redshift measurement. When this true Doppler effect was subtracted from all the observed redshifts, it produced strong evidence for the quantisation of redshifts across the entire sky [35, 36].
The initial quantisation value that Tifft discovered was a redshift of 72 kilometres per second in the Coma cluster of galaxies. Subsequently it was discovered that quantisation figures of up to 13 multiples of 72 km/s existed. Later work established a smaller quantisation figure just half of this, namely 36 km/s. This was subsequently supported by Guthrie and Napier who concluded that 37.6 km/s was a more basic figure, with an error of 2 km/s [37-39]. After further observations, Tifft announced in 1991 that these and other redshift quantisations recorded earlier were simply higher multiples of a basic quantisation figure . After statistical treatment, that figure turned out to be 7.997 km/s. However, Tifft noted that this 7.997 km/s was not in itself the most basic result as observations revealed a 7.997/3 km/s, or 2.67 km/s, quantisation, which was even more fundamental . When multiplied by 14, this fundamental value gave a predicted redshift of 37.38 km/s in line with Guthrie and Napier's value. Furthermore, when the basic 2.67 km/s is multiplied by 27, it gives the 72.12 km/s initially picked up in the Coma cluster of galaxies. Accepting this result at face value suggests that the redshift is quantised in fundamental steps of 2.67 km/s across the cosmos.
RE-EXAMINING THE REDSHIFT
If redshifts were truly a result of an expanding universe, the measurements would be smoothly distributed, showing all values within the range measured. This is the sort of thing we see on a highway, with cars going many different speeds within the normal range of driving speeds. However the redshift, being quantised, is more like the idea of those cars each going in multiples of, say, 5 kilometres an hour. Cars don't do that, but the redshift does. This would seem to indicate that something other than the expansion of the universe is responsible for these results.
We need to undertake a re-examination of what is actually being observed in order to find a solution to the problem. It is this solution to the redshift problem that introduces a new cosmological model. In this model, atomic behaviour and light-speed throughout the cosmos are linked with the ZPE and properties of the vacuum.
The prime definition of the redshift, 'z', involves two measured quantities. They comprise the observed change in wavelength 'D' of a given spectral line when compared with the laboratory standard wavelength 'W'. The ratio of these quantities [D / W = z] is a dimensionless number that measures the redshift . However, it is customarily converted to a velocity by multiplying it by the current speed of light, 'c' . The redshift so defined is then 'c z', and it is this c z that is changing in steps of 2.67 km/s. Since the laboratory standard wavelength 'W' is unaltered, it then follows that as [z = D/W] is systematically increasing in discrete jumps with distance, then D must be increasing in discrete jumps also. Now D is the difference between the observed wavelength of a given spectral line and the laboratory standard wavelength for that same spectral line . This suggests that emitted wavelengths are becoming longer in quantum jumps with increasing distance (or with look-back time). During the time between jumps, the emitted wavelengths remain unchanged from the value attained at the last jump.
The basic observations therefore indicate that the wavelengths of all atomic spectral lines have changed in discrete jumps throughout the cosmos with time. This could imply that all atomic emitters within each galaxy may be responsible for the quantised redshift, rather than the recession of those galaxies or universal expansion. Importantly, the wavelengths of light emitted from atoms are entirely dependent upon the energy of each atomic orbit. According to this new way of interpreting the data, the redshift observations might indicate that the energy of every atomic orbit in the cosmos simultaneously undergoes a series of discrete jumps with time. How could this be possible?
ATOMIC ORBITS AND THE REDSHIFT
The explanation may well be found in the work of Hal Puthoff. Since the ZPE is sustaining every atom and maintaining the electrons in their orbits, it would then also be directly responsible for the energy of each atomic orbit. In view of this, it can be postulated that if the ZPE were lower in the past, then these orbital energies would probably be less as well. Therefore emitted wavelengths would be longer, and hence redder. Because the energy of atomic orbits is quantised or goes in steps , it may well be that any increase in atomic orbital energy can similarly only go in discrete steps. Between these steps atomic orbit energies would remain fixed at the value attained at the last step. In fact, this is the precise effect that Tifft's redshift data reveals.
The outcome of this is that atomic orbits would be unable to access energy from the smoothly increasing ZPF until a complete unit of additional energy became available. Thus, between quantum jumps all atomic processes proceed on the basis of energy conservation, operating within the framework of energy provided at the last quantum jump. Thus any increase in energy from the ZPE will not affect the atom until a particular threshold is reached, at which time all the atoms in the universe react simultaneously.
THE SIZE OF THE ELECTRON
This new approach can be analysed further. Mathematically it is known that the strength of the electronic charge is one of several factors governing the orbital energies within the atom . Therefore, for the orbital energy to change, a simultaneous change in the value of the charge of both the electron and the proton would be expected. Although we will only consider the electron here, the same argument holds for the proton as well.
Theoretically, the size of the spherical electron, and hence its area, should appear to increase at each quantum jump, becoming "larger" with time. The so-called Compton radius of the electron is 3.86151 x 10-11 centimetres, which, in the SED approach, is significant. Malcolm H. MacGregor of the Lawrence Livermore National Laboratory in California drew some relevant conclusions in "The Enigmatic Electron" (p. 6, and chapter 7, Kluwer, 1992) that were amplified later by Haisch, Rueda, and Puthoff . Both groups pointed out that "one defensible interpretation is that the electron really is a point-like entity, smeared out to its quantum dimensions by the ZPF fluctuations." As MacGregor initially emphasised, this "smearing out" of the electronic charge by the ZPF involves vacuum polarisation and the Zitterbewegung. When the calculations are done in SED using these phenomena, the Compton radius for the electron is indeed obtained .
THE ELECTRONIC CHARGE
With this in mind, it might be anticipated, on the SED approach, that if the energy density of the ZPF increased, the "point-like entity" of the electron would be "smeared out" even more, thus appearing larger. This would follow since the Zitterbewegung would be more energetic, and vacuum polarization around charges would be more extensive. In other words, the spherical electron's apparent radius and hence its area would increase at the quantum jump. Also important here is the classical radius of the electron, defined as 2.81785 x 10-13 centimetres. The formula for this quantity links the electron radius with the electronic charge and its mass-energy. A larger radius means a stronger charge, if other factors are equal. Therefore, at the quantum jump, when a full quantum of additional energy becomes available to the atom from the ZPE, the electron's radius, and hence its area, would be expected to expand. This suggestion also follows from a comment by MacGregor (op. cit. p. 28) about the spherical electron, namely that "the quantum zero-point force [tends to] expand the sphere". According to the formula, a larger classical radius would also indicate that the intrinsic charge had increased. The importance of this is that a greater electronic charge will result in a greater orbital energy, which means that wavelengths emitted by the atom will be shifted towards the blue end of the spectrum.
The QED model can explain this formula another way. There is a cloud of virtual particles around the "bare" electron interacting with it. When a full quantum increase in the vacuum energy density occurs, the strength of the charge increases. With a higher charge for the "point-like entity" of the electron, it would be expected that the size of the particle cloud would increase because of stronger vacuum polarisation and a more energetic Zitterbewegung. (Note that vacuum polarisation occurs because of a tendency for virtual particles to be attracted to charges of the opposite sign, while those of the same sign remain more distant [18, 43]). This larger cloud of virtual particles intimately associated with the "bare" electron would give rise to an increase in the perceived radius of the "dressed" electron and its apparent area since both include the particle cloud. In fact this "dressed" electron is the entity that has been observed classically, and the one to which both the Compton radius and classical radius formulae apply. This inevitably means that the virtual particle cloud partially screens the full value of the "bare" charge. Some experiments have probed deep into the virtual particle cloud and found the charge does indeed increase with penetration. In fact, the full value of the "bare" charge has yet to be determined [13, 44].
THE BOHR ATOM
Let us now be more specific about this new approach to orbit energies and their association with the redshift. The Bohr model of the atom has electrons going around the atomic nucleus in miniature orbits, like planets around the sun. Although more sophisticated models of the atom now exist, it has been acknowledged in the past that the Bohr theory "is still often employed as a first approximation" [45 - 47]. Similarly, much of the recent work done on the ZPE and atoms in the SED approach has also been at Bohr theory level . It has been stated that the motive has been to gain "intuitive insights and calculational ease" . Accordingly, that approach is retained here.
In the Bohr model of the atom, two equations describe orbital energy . In 1913, Niels Bohr quantised the first of these, the angular momentum equation. The angular momentum of an orbit is described mathematically by 'mvr', where 'm' is the mass of the electron, 'v' is its velocity in an orbit whose radius is 'r'. Bohr pointed out that a close approximation to the observed atomic behaviour is obtained if electrons are theoretically restricted to those orbits whose angular momentum is an integral multiple of h / (2p). Mathematically, that is written as
where 'n' is a whole number such as 1, 2, 3, etc., and is called the quantum number. As mentioned above, 'h' is Planck's quantum constant. This procedure effectively describes a series of permitted orbits for electrons in any given atom. In so doing it establishes the spectral line structure for any specific atom. That much is standard physics. The new approach maintains the integrity of Bohr's first equation, so at the instant of any quantum jump in orbital energy, the angular momentum would be conserved. This means that both sides of the above equation remain unchanged at the quantum jump.
BOHR'S SECOND EQUATION
Bohr's second equation describes the kinetic energy of the electron in an orbit of radius 'r'. Kinetic energy is defined as m v2 / 2. The standard equation for the kinetic energy of the first Bohr orbit, the orbit closest to the nucleus (often called the ground state orbit), reads
where 'e' is the charge on the electron, and 'Q' is the permittivity of the vacuum. This kinetic energy is equal in magnitude to the total energy of that closest orbit. When an electron falls from immediately outside the atom into that orbit, this energy is released as a photon of light. The energy 'E' of this photon has a wavelength 'W' and both the energy and the wavelength are linked by the standard equation
As shown later, observational evidence reveals the 'hc' component in this equation is an absolute constant at all times. The kinetic energy and the photon energy are thus equal. This much is standard physics . Accordingly, we can write the following equality for the ground state orbit from Bohr's second equation:
However, as A. P. French points out in his derivation of the relevant equations , the energy 'E' of the ground state orbit, can also be written as
where 'R' is the Rydberg constant and is equal to 109737.3 cm-1. The Rydberg constant links emitted wavelengths with atomic orbit energy . This link was discovered by Johannes Robert Rydberg of Sweden in 1890. In fact, over a century later, this model indicates that he discovered more than he is being credited with. By comparing the last two equations above, it will be noted that the wavelength 'W' associated with the energy 'E' of the ground state orbit is given by
where 'K' is the Rydberg wavelength such that
A NEW QUANTUM CONDITION
If we now follow the lead of Bohr, and quantise his second equation, a solution to several difficulties is found. Observationally, the incremental increase of redshift with distance indicates that the wavelengths of light emitted from galaxies undergo a fractional increase. Therefore, for the ground state orbit of the Bohr atom, the wavelength 'K' must increment in steps of some set fraction of 'K', say K / z = R*. This means that K = z R*. Furthermore, the wavelength increment D can be defined as
Here, the term 'n' is the new quantum integer that fulfils the same function as Bohr's quantum number 'n'. Furthermore, Planck's quantum constant 'h' finds its parallel in 'R*'. As a consequence, 'R*' could be called the Rydberg quantum wavelength since it is a specific fraction of the Rydberg wavelength. This designated fraction is given by the dimensionless number 'z ' which could perhaps be called the Rydberg quantum number. Analysis of the terms making up the Rydberg constant indicate that such a dimensionless number can indeed be obtained provided one reasonable assumption is made. The details are given in the main paper. This Rydberg quantum number 'z ' then bears the value
Under these circumstances, the Rydberg quantum wavelength 'R*' is defined as
It therefore follows that wavelengths increment in steps of
This new quantisation procedure means that the energy E of the first Bohr orbit will increment in steps of D E such that
This holds because of two factors. First, if 'n' decreases with time, it will mimic the behaviour of the redshift, which also decreases with time. High redshift values from distant objects necessarily mean high values for 'n' as well. Second, all atomic orbit radii 'r' can be shown to remain unchanged throughout any quantum changes. If they were not, the abrupt change of size of every atom at the quantum jump would cause obvious flaws in crystals, which would be especially noticeable in ancient rocks. This new quantisation procedure effectively allows every atom in the cosmos to simultaneously acquire a new higher energy state for each of its orbits in proportion as the ZPE increases with time. In so doing, it opens the way for a solution to the redshift problem.
A QUANTUM REDSHIFT
In the Bohr atom, all orbit energies are scaled according to the energy of the orbit closest to the nucleus, the ground state orbit. Therefore, if the ground state orbit has an energy change, all other orbits will scale their energy proportionally. This also means that wavelengths of emitted light will be scaled in proportion to the energy of the ground state orbit of the atom. Accordingly, if W0 is any arbitrary emitted wavelength and W1 is the wavelength of the ground state orbit, then the wavelength change at the quantum jump is given by
Now the redshift is defined as the change in wavelength, given by 'D', divided by the reference wavelength 'W'. For the purposes of illustration, let us take the reference wavelength to be equal to that emitted when an electron falls into the ground state orbit for hydrogen. This wavelength is close to 9.1127 x 10-6 centimetres. For this orbit, the value of 'D' from the above equation is given by 8.12072 x 10-11 centimetres since (n = 1) in this case and (W0 = W1). Therefore, the redshift
and so the velocity change
This compares favourably with Tifft's basic value of 2.67 km/sec for the quantum jumps in the redshift velocity. Furthermore, when the new quantum number takes the value (n = 27), the redshift velocity becomes cz = 72 km/sec compared with the 72 km/s that Tifft originally noticed. It may also be significant that for (n = 14), the redshift velocity is 37.39 km/s compared with Tifft's 36.2 km/s and 37.5 km/s that was subsequently established by Guthrie and Napier.
Imposing a quantum condition on the second Bohr equation for the atom therefore produces quantum changes in orbit energies and emitted wavelengths that accord with the observational evidence. This result also implies the quantised redshift may not be an indicator of universal expansion. Rather, this new model suggests it may be evidence that the ZPE has increased with time allowing atomic orbits to take up successively higher energy states.
It is at this point in the discussion that a consideration of light-speed becomes important. It has already been mentioned that an increase in vacuum energy density will result in an increase in the electrical permittivity and the magnetic permeability of space, since they are energy related. Since light-speed is inversely linked to both these properties, if the energy density of the vacuum increases, light-speed will decrease uniformly throughout the cosmos. Indeed, in 1990 Scharnhorst  and Barton  demonstrated that a lessening of the energy density of a vacuum would produce a higher velocity for light. This is explicable in terms of the QED approach. The virtual particles that make up the "seething vacuum" can absorb a photon of light and then re-emit it when they annihilate. This process, while fast, takes a finite time. The lower the energy density of the vacuum, the fewer virtual particles will be in the path of light photons in transit. As a consequence, the fewer absorptions and re-emissions which take place over a given distance, the faster light travels over that distance [49, 50].
However, the converse is also true. The higher the energy density of the vacuum, the more virtual particles will interact with the light photons in a given distance, and so the slower light will travel. Similarly, when light enters a transparent medium such as glass, similar absorptions and re-emissions occur, but this time it is the atoms in the glass that absorb and re-emit the light photons. This is why light slows as it travels through a denser medium. Indeed, the more closely packed the atoms, the slower light will travel as a greater number of interactions occur in a given distance. In a recent illustration of this light-speed was reduced to 17 metres/second as it passed through extremely closely packed sodium atoms near absolute zero . All this is now known from experimental physics. This agrees with Barnett's comments in Nature  that "The vacuum is certainly a most mysterious and elusive object...The suggestion that the value of the speed of light is determined by its structure is worthy of serious investigation by theoretical physicists."
THE BEHAVIOUR OF REDSHIFT AND LIGHT-SPEED
One of the main points established in the major technical thesis currently undergoing review has been that redshift 'z' is proportional to light-speed 'c' . This can be written as
where 'k' is the constant of proportionality. This constant allows values of 'z' to be converted to values of 'c' and vice versa. This is an important key to the behaviour of 'c', because there exists a well-accepted graph of redshift 'z' of distant astronomical objects on the vertical axis, against distance 'd' on the horizontal axis. This graph describes the general behaviour of redshift with distance in a way that has been verified by recent Hubble Space Telescope observations.
A second clue to the behaviour of 'c' is obtained when it is realized that by looking out into progressively greater astronomical distances 'd', we are systematically looking further back in time 'T'. Thus distance and time are directly related and can be inter-converted. Consequently, the graph of redshift 'z' against distance 'd' can be converted to become a graph of light-speed 'c' against time 'T'. Essentially it is the same graph, only it has different scales on both axes. Thus the behaviour of light-speed over astronomical time is simply given by the accepted observations of redshift behaviour with distance [53, 54]. This behaviour consists of a rapid drop in 'c' initially, which then tapers down to a much flatter decay rate. For each redshift quantum change, the speed of light has apparently changed by a significant amount. The precise quantity is dependent upon the value adopted for the Hubble constant, which links a galaxy's redshift with its distance.
AN OBSERVED DECLINE IN LIGHT-SPEED
The question then arises as to whether or not any other observational evidence exists that the speed of light has diminished with time. Surprisingly, some 40 articles about this very matter appeared in the scientific literature from 1926 to 1944 . Some important points emerge from this literature. In 1944, despite a strong preference for the constancy of atomic quantities, N. E. Dorsey  was reluctantly forced to admit: "As is well known to those acquainted with the several determinations of the velocity of light, the definitive values successively reported have, in general, decreased monotonously from Cornu's 300.4 megametres per second in 1874 to Anderson's 299.776 in 1940 " Even Dorsey's own re-working of the data could not avoid that conclusion.
However, the decline in the measured value of 'c' was noticed much earlier. In 1886, Simon Newcomb reluctantly concluded that the older results obtained around 1740 were in agreement with each other, but they indicated 'c' was about 1% higher than in his own time , the early 1880's. In 1941 history repeated itself when Birge made a parallel statement while writing about the 'c' values obtained by Newcomb, Michelson, and others around 1880. Birge was forced to concede that " these older results are entirely consistent among themselves, but their average is nearly 100 km/s greater than that given by the eight more recent results" . Each of these three eminent scientists held to a belief in the absolute constancy of 'c'. This makes their careful admissions about the experimentally declining values of measured light speed more significant.
EXAMINING THE DATA
The data obtained over the last 320 years at least imply a decay in 'c' . Over this period, all 163 measurements of light-speed by 16 methods reveal a non-linear decay trend. Evidence for this decay trend exists within each measurement technique as well as overall. Furthermore, an initial analysis of the behaviour of a number of other atomic constants was made in 1981 to see how they related to 'c' decay. On the basis of the measured value of these "constants", it became apparent that energy was being conserved throughout the process of 'c' variation. This conclusion was reached after an exhaustive study was made of all available alternatives. In all, confirmatory trends appear in 475 measurements of 11 other atomic quantities by 25 methods. Analysis of the most accurate atomic data reveals that the trend has a consistent magnitude in all the other atomic quantities that vary synchronously with light-speed .
All these measurements have been made during a period when there have been no quantum increases in the energy of atomic orbits. These observations reinforce the conclusion that, between any proposed quantum jumps, energy is conserved in all relevant atomic processes, as no extra energy is accessible to the atom from the ZPF. Because energy is conserved, the c-associated atomic constants vary synchronously with c, and the existing order in the cosmos is not disrupted or intruded upon. Historically, it was this very behaviour of the various constants, indicating that energy was being conserved, which was a key factor in the development of the 1987 Norman-Setterfield report, The Atomic Constants, Light And Time .
The mass of data supporting these conclusions comprises some 638 values measured by 43 methods. Montgomery and Dolphin did a further extensive statistical analysis on the data in 1993 and concluded that the results supported the 'c' decay proposition if energy was conserved . The analysis was developed further and formally presented in August 1994 by Montgomery . These papers answered questions related to the statistics involved and have not yet been refuted.
ATOMIC QUANTITIES AND ENERGY CONSERVATION
Planck's constant and mass are two of the quantities that vary synchronously with 'c'. Over the period when 'c' has been measured as declining, Planck's constant 'h' has been measured as increasing as documented in the 1987 Report. The most stringent data from astronomy reveal 'hc' must be a true constant [61 - 64]. Consequently, 'h' must be proportional to '1/c' exactly. This is explicable in terms of the SED approach since, as mentioned above, 'h' is essentially a measure of the strength of the zero-point fields (ZPF). If the ZPE is increasing, so, in direct proportion, must 'h'. As noted above, an increasing ZPE also means 'c' must drop. In other words, as the energy density of the ZPF increases, 'c' decreases in such a way that 'hc' is invariant. A similar analysis could be made for other time-varying "constants" that change synchronously with 'c'.
This analysis reveals some important consequences resulting from Einstein's famous equation [E = m c2], where 'E' is energy, and 'm' is mass. Data listed in the Norman/Setterfield Report confirm the analysis that 'm' is proportional to 1 / c2 within a quantum interval, so that energy (E) is unaffected as 'c' varies. Haisch, Rueda and Puthoff independently verify that when the energy density of the ZPF decreases, mass also decreases. They confirm that 'E' in Einstein's equation remains unaffected by these synchronous changes involving 'c' .
If we continue this analysis, the behaviour of mass 'm' is found to be very closely related to the behaviour of the Gravitational constant 'G' and gravitational phenomena. In fact 'G' can be shown to vary in such a way that 'Gm' remains invariant at all times. This relationship between 'G' and 'm' is similar to the relationship between Planck's constant and the speed of light that leaves the quantity 'hc' unchanged. The quantity 'Gm' always occurs as a united entity in the relevant gravitational or orbital equations . Therefore, gravitational and orbital phenomena will be unchanged by varying light speed as will planetary periods and distances . In other words, acceleration due to gravity, weight, and planetary orbital years, remain independent of any variation of 'c'. As a result, astronomical orbital periods of the earth, moon, and planets form an independent time-piece, a dynamical clock, with which it is possible to compare atomic processes.
THE BEHAVIOUR OF ATOMIC CLOCKS
This comparison between dynamical and atomic clocks leads to another aspect of this discussion. Observations reveal that a higher speed of light implies that some atomic processes are proportionally faster. This includes atomic frequencies and the rate of ticking of atomic clocks. In 1934 'c' was experimentally determined to be varying, but measured wavelengths of light were experimentally shown to be unchanged. Professor Raymond T. Birge, who did not personally accept the idea that the speed of light could vary, nevertheless stated that the observational data left only one conclusion. He stated that if 'c' was actually varying and wavelengths remained unchanged, this could only mean "the value of every atomic frequencymust be changing" .
Birge was able to make this statement because of an equation linking the wavelength 'W' of light, with frequency 'F', and light-speed 'c'. The equation reads 'c = FW.' If 'W' is constant and 'c' is varying, then 'F' must vary in proportion to 'c'. Furthermore, Birge knew that the frequency of light emitted from atoms is directly proportional to the frequency of the revolution of atomic particles in their orbits . All atomic frequencies are therefore directly proportional to 'F', and so also directly proportional to 'c', just as Birge indicated.
The run-rate of atomic clocks is governed by atomic frequencies. It therefore follows that these clocks, in all their various forms, run at a rate proportional to c. The atomic clock is thereby c-dependent, while the orbital or dynamical clock ticks independently at a constant rate. In 1965, Kovalevsky pointed out the converse of this. He stated that if the two clock rates were different, "then Planck's constant as well as atomic frequencies would drift" . This is precisely what the observations reveal.
This has practical consequences in the measurements of 'c'.
In 1949 the frequency-dependent ammonia-quartz clock was introduced
and became standard in many scientific laboratories . But
by 1967, atomic clocks had become uniformly adopted as timekeepers
around the world. Methods that use atomic clocks to measure 'c'
will always fail to detect any changes in light-speed, since their
run-rate varies directly as 'c' varies. This is evidenced by the
change in character of the 'c' data following the introduction
of these clocks. This is why the General Conference on Weights
and Measures meeting in Paris in October of 1983 declared 'c'
an absolute constant . Since then, any change in the speed
of light would have to be inferred from measurements other than
those involving atomic clocks.
COMPARING ATOMIC AND DYNAMIC CLOCKS
However, this problem with frequencies and atomic clocks can actually supply additional data to work with. It is possible in principle to obtain evidence for speed of light variation by comparing the run-rate of atomic clocks with that of dynamical clocks. When this is done, a difference in run-rate is noted. Over a number of years up to 1980, Dr. Thomas Van Flandern of the US Naval Observatory in Washington examined data from lunar laser ranging using atomic clocks, and compared their data with data from dynamical, or orbital, clocks. From this comparison of data, he concluded that "the number of atomic seconds in a dynamical interval is becoming fewer. Presumably, if the result has any generality to it, this means that atomic phenomena are slowing down with respect to dynamical phenomena" . Van Flandern has more recently been involved in setting the parameters running the clocks in the Global Positioning System of satellites used for navigation around the world. His clock comparisons indicated that atomic phenomena were slowing against the dynamical standard until about 1980. This implies that 'c' was continuing to slow until at least 1980, regardless of the results obtained using the frequency-dependent measurements of recent atomic clocks.
AN OSCILLATION IS INVOLVED
These clock comparisons are useful in another way. The atomic dates of historical artifacts can be approximated via radiometric dating. These dates can then be compared with actual historical, or orbital, dates. This comparison of clocks allows us to examine the situation prior to 1678 when the Danish astronomer Roemer made the first measurement of the speed of light. When this comparison is done, light-speed behaviour is seen to include an oscillation, which seems to have had one minimum around 2570 BC, with an error of about ± 200 years, following which it climbed to a secondary maximum, and then started dropping again. Indeed, it is of interest to note that measurements of several atomic constants associated with 'c' seem to indicate that the 'c' decay curve apparently bottomed out around 1980 AD and may have started to increase again. More data are needed before a positive statement can be made.
Furthermore, the redshift observations themselves reveal this oscillation that results in a steps and stairs pattern superimposed on the general trend of the main curve. At the 'flat points' in this pattern, the value of 'z' changes slowly over a large distance so that many galaxies are involved. Consequently, significant numbers of galaxies appear to congregate at preferred, systematic redshifts . By contrast, on the steeply rising part of the step, the value of 'z' changes rapidly over a relatively short distance, so relatively few galaxies are found with those redshifts. These redshift 'periodicities' form a precise mathematical sequence  and are different to any quantisation as these periodicities are dependent on the numbers of galaxies counted at a given redshift. By contrast, the line of change in redshift value due to quantisation may often pass right through individual galaxies.
As both Close  and D'azzo & Houpis  pointed out in 1966, this oscillation is typical of many physical systems. The complete response of a system to an input of energy comprises two parts: the forced response and the free or natural response. This can be illustrated by a number of mechanical or electrical systems. The forced response comes from the injection of energy into the system. The free response is the system's own natural period of oscillation. The two together describe the complete behaviour of the system. In this new model, the main trend of the curve represents the energy injection into the system, while the oscillation comes from the free response of the cosmos to this energy injection. This dual process has affected atomic behaviour and light-speed throughout the cosmos.
LIGHT-SPEED AND THE EARLY COSMOS
The issue of light-speed in the early cosmos is one that has received some attention recently in several peer-reviewed journals. Starting in December 1987, the Russian physicist V. S. Troitskii from the Radiophysical Research Institute in Gorky published a twenty-two page analysis in Astrophysics and Space Science regarding the problems cosmologists faced with the early universe. He looked at a possible solution if it was accepted that light-speed continuously decreased over the lifetime of the cosmos, and the associated atomic constants varied synchronously. He suggested that, at the origin of the cosmos, light might have travelled at 1010 times its current speed. He concluded that the cosmos was static and not expanding.
In 1993, J. W. Moffat of the University of Toronto, Canada, had two articles published in the International Journal of Modern Physics D (see also ). He suggested that there was a high value for 'c' during the earliest moments of the formation of the cosmos, following which it rapidly dropped to its present value. Then, in January 1999, a paper in Physical Review D by Andreas Albrecht and Joao Magueijo, entitled "A Time Varying Speed Of Light As A Solution To Cosmological Puzzles" received a great deal of attention. These authors demonstrated that a number of serious problems facing cosmologists could be solved by a very high initial speed of light.
Like Moffat before them, Albrecht and Magueijo isolated their high initial light-speed and its proposed dramatic drop to the current speed to a very limited time during the formation of the cosmos. However, in the same issue of Physical Review D there appeared a paper by John D. Barrow, Professor of Mathematical Sciences at the University of Cambridge. He took this concept one step further by proposing that the speed of light has dropped from the value proposed by Albrecht and Magueijo down to its current value over the lifetime of the universe.
An article in New Scientist for July 24, 1999, summarised these proposals in the Editor's introduction. "Call it heresy, but all the big cosmological problems will simply melt away, if you break one rule, says John D. Barrow the rule that says the speed of light never varies." Interestingly, the initial speed of light proposed by Albrecht, Magueijo and Barrow is 1060 times its current speed. In contrast, the redshift data give a far less dramatic result. The most distant object seen in the Hubble Space Telescope has a redshift, 'z', of 14. This indicates light-speed was about 1 x 108 greater than now. At the origin of the cosmos this rises to about 4 x 1011 times the current value of c, more in line with Troitskii's proposal, and considerably more conservative than the Barrow, Albrecht and Magueijo estimate. This lower, more conservative estimate is also in line with the 1987 Norman-Setterfield Report.
EXPANDING THE COSMOS
Given all these results, the key question then becomes, why should the ZPE increase with time? One basic tenet of the Big Bang and some other cosmologies is an initial rapid expansion of the universe. That initial rapid expansion is accepted here. However, the redshift can no longer be used as evidence that this initial expansion has continued until the present. Indeed, if space were continuing its uniform expansion, the precise quantisation of spectral line shifts that Tifft has noted would be smeared out and lost. The same argument applies to cosmological contraction. This suggests that the initial expansion halted before redshifted spectral lines were emitted by the most distant galaxies, and that since then the universe has been essentially static. In 1993, Jayant Narliker and Halton Arp published a paper in Astrophysical Journal (vol. 405, p. 51) which revealed that a static cosmos containing matter was indeed stable against collapse under conditions that are fulfilled in this new model.
However, the initial expansion was important. As Paul S. Wesson , Martin Harwit  and others have shown, the physical vacuum initially acquired a potential energy in the form of an elasticity, tension, or stress as a result of the inflationary expansion of the cosmos. This might be considered to be akin to the tension, stress, or elasticity in the fabric of a balloon that has been inflated. In order to appreciate what is happening to the structure of the vacuum under these conditions, the statement of Pipkin and Ritter is again relevant, namely that "the Planck length is a length at which the smoothness of space breaks down, and space assumes a granular structure" . Since this granular structure of space is made up of Planck particle pairs, whose dimensions are equal to the Planck length, then it is at the level of these Planck particle pairs that the vacuum is likely to respond to the expansion of the cosmos.
More specifically, such an expansion of the fabric of space is likely to cause an increased separation and spin of the Planck particle pairs. Because these Planck particle pairs have positive and negative charges, their separation will give rise to electric fields and their spin will give rise to magnetic fields. It is these electro-magnetic fields from the Planck particle pairs that comprise the all-pervasive ZPE. In that sense, then, the original expansion set the initial conditions governing the ZPE. However, once those parameters were set and the cosmos reached a static state, the energy density of the ZPE would depend upon the number of Planck particle pairs that manifested in a unit volume in any given dynamical interval. Anything that changes this number will also change the energy density of the ZPE, along with all the effects that have been discussed in this paper. In this way, the structure and behaviour of the vacuum at the Planck particle level is determining all the observed effects at the atomic level.
AN INCREASING VACUUM ENERGY
An important factor in the discussion then becomes the interval known as the Planck time, which is the length of time that Planck particle pairs exist before annihilating. This time interval is governed by the behaviour of Planck's constant 'h'. Since 'h' is increasing with the passing of dynamical time, as discussed above, this means that the Planck time interval is also increasing. In this sense it is rather like a cheap watch that slows down as its spring unwinds so that the period between its ticks increases. The function governing this rate of ticking is the same as the function governing light-speed behaviour. This effectively means that, for any given constant dynamical interval, more Planck particle pairs will be in existence per unit volume, as each particle pair will remain in existence for a longer time.
In order to illustrate this more effectively, consider a unit volume of space in which the conditions are such that a Planck particle pair manifests every dynamical second. Furthermore, let the Planck time interval also be one dynamical second. Thus, at any given observed interval of one dynamical second, only one particle pair will exist in that unit volume. Let the Planck time then be increased by a factor of 3, so that each particle pair exists for 3 dynamical seconds. Since other conditions remain unchanged, a new particle pair will still manifest every second. Thus 3 particle pairs will exist during any given dynamical second. First, there is the pair that originated at the beginning of that interval, just as the situation was before. Then there is also the pair that originated one second earlier, so that the observational interval is the middle second of their 3 second lifespan. Then in addition there is also the pair that originated two seconds earlier, so that the observational second is the 3rd second of their existence. It can therefore be demonstrated that if Planck's constant increases by a factor N, the Planck time interval is also increased by a factor N, and therefore the number of Planck particle pairs per unit volume in any given dynamical interval increased by a factor N. All the effects outlined in this summary then respond as a consequence.
IS THERE A BASIC CAUSE?
The only issue remaining for examination is the basic reason for the behaviour of the Planck particle pairs. Since light-speed 'c' is dependent upon the ZPE as outlined above, its behaviour cannot be influencing the ZPE. In a similar way, it can be argued that both mass and atomic time are dependent upon the ZPE for their behaviour so that their performance does not constitute the heart of the matter. On the SED approach, even the Newtonian gravitational constant 'G' is a ZPE phenomenon, which removes it from contention here. The one factor that does emerge from the foregoing discussion is the increasing quantum uncertainty that allows Planck particle pairs to manifest for an increasing length of time. Thus, as the intrinsic potential energy of the cosmos runs down, quantum uncertainty increases, so the Planck time interval increases, in an analogous way to the behaviour of some spring-driven clocks.
IMPLICATIONS OF THIS PROPOSED MODEL
(1). Quantum "shells"
This model assumes each quantum change occurs instantaneously throughout the cosmos. Yet a finite time is taken for light emitted by atomic processes to reach the observer. Consequently, the observed redshift will appear to be quantised in spherical shells centred about any observer anywhere in the universe. All objects that emit light within that shell will have the same redshift.
(2). "Missing mass" in galaxy clusters
The relative velocities of individual galaxies within clusters of galaxies are measured by their redshift. From this redshift measurement, it has been concluded that the velocities of galaxies are too high for them to remain within the cluster for the assumed age of the universe. Therefore astronomers have been looking for the "missing mass" needed to hold such clusters together by way of gravitational forces. However, if the redshift does not actually represent velocity at all, then the problem disappears since the quantised redshift largely explains the changing cz values across the diameters of most clusters of galaxies. Indeed, a large actual velocity component in these cz values would destroy the quantisation effect. Recent work on galaxy clusters has revealed the significant information that in the centre of the Virgo cluster, galaxies "were moving fast enough to wash out the [redshift] periodicity" . As the actual relative velocities of galaxies is therefore small, no mass is "missing." (Note that this does not solve the problem of the "missing mass" within spiral galaxies which is a separate issue.)
(3). A uniform microwave background
An initial very high value for light-speed means that the radiation in the very early moments of the cosmos would be rapidly homogenised by scattering processes. This means that the radiation we observe from that time will be both uniform and smooth. This is largely what is observed with the microwave background radiation coming from all parts of the sky . This model therefore provides an answer to its smoothness without the necessity of secondary assumptions about matter distribution and galaxy formation that tend to be a problem for current theories.
(4). Corrections to the atomic clock
As a consequence of knowing how light-speed and atomic clocks have behaved from the redshift, atomic and radiometric clocks can now be corrected to read actual orbital time. As a result, geological eras can have a new orbital time-scale set beside them. This will necessitate a re-orientation in our current thinking on such matters.
(5). Final note
The effects of changing the vacuum energy density uniformly throughout the cosmos have been considered in this presentation. This in no way precludes the possibility that the vacuum energy density may vary on a local astronomical scale, perhaps due to energetic processes. In such cases, dramatically divergent redshifts may be expected when two neighbouring astronomical objects are compared. Arp has listed off a number of potential instances where this explanation may be valid [82, 83].
This model proposes that an initial small, hot, dense, highly energetic universe underwent rapid expansion to its current size, and remained static thereafter. The response of the fabric of space, through the behaviour of Planck particle pairs, gave rise to an increasing energy density for the ZPE. This had two results. First, there was a progressive decline in light-speed. Concurrently, atomic particle and orbital energies throughout the cosmos underwent a series of quantum increases, as more energy became available to them from the vacuum. Therefore, with increasing time, atoms emitted light that shifted in jumps towards the more energetic blue end of the spectrum. As a result, as we look back in time to progressively more distant astronomical objects, we see that process in reverse. That is to say the light of these galaxies is shifted in jumps towards the red end of the spectrum. The implications of this model solve some astronomical problems but, at the same time, challenge some current historical interpretations.
My heartfelt thanks goes to Helen Fryman for the many hours
she spent in order to make this paper readable for a wide audience.
A debt of gratitude is owed to Dr. Michael Webb, Dr. Bernard Brandstater,
and Lambert Dolphin for their many helpful discussions and sound
advice. Finally, I must also acknowledge the pungent remarks of
'Lucas,' which resulted in some significant improvements to this
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