AWT and cosmological time arrow

Contemporary physics distinguishes many time arrows, which are related mutually, so that no discussion about time can have a deeper meaning without specification of particular time arrow. Contemporary physics handles no generally acceptable model for these time arrows and it doesn't understand time concept from general perspective. In particular description of relativistic space-time from macroscopic perspective remains separated from description of time at microscale, where thermodynamical time arrow is applied. Without consideration of concept of Aether emergence these time arrows cannot be reconciled at predicate logic level.

In AWT most general time arrow is so called cosmological time arrow related to omnidirectional Universe expansion, which is manifestation of dispersive character of energy spreading. While the general understanding is, Universe is facing thermodynamical death, it's not true at all as such conclusion is observer dependent. It's observer, not a Universe, who suffers by entropic processes and entropy of Universe as a whole remains constant from exsintric perspective. Thermodynamical death of Universe is just a consequence of Simillia simillibus observatur principle.

We cannot neglect fact, one half of Universe evaporates and separates by antigravity (radiation pressure), while the second one agglomerates by gravity. In AWT boundary between insintric and exsintric observational perspective is divided by observer distance scale, which corresponds to wavelength of cosmic microwave background (CMB scale) at 1.73 cm. Above such scale thermodynamic time arrow for material object becomes reversed and driven by gravity. So what we are observing are two thermodynamical processes separated by CMB/human scale into exsintric and insitric perspective. Material objects, which are large then 1.73 cm tends to agglomerate in their gravity field into larger ones. This is essentially negentropic process, related to inverse time arrow, whereas object smaller then CMB photons are evaporating into radiation, whis is indeed common entropic process. For particles of energy the whole situation remains reciprocal: large photons are dissolving like tachyons in CMB, while smaller one are condensing into solitons, i.e. material particles. No process violating CPT symmetry was observed so far.

If we consider material particles as the only observable part of Universe, thermodynamical time arrow becomes dual for 3D space-time, so we can propose more general, cosmological time arrow, which is independent to entropy of Universe (which remains the same in this case), but it's defined by the combination of the above processes. At the moment, when we would observe separation of large objects while the smaller ones would condense, we could say, not just thermodynamical, but cosmological time arrow gets reversed, too. It corresponds the propagation of observable objects across space-time brane, composed of mutually interacting gradients of Aether foam density, so that entropic processes are always balanced by these negentropic ones. From macroscopic (the past) or microscopic (the future of space-time expansion) perspective Universe is behaving like randomly undulating Aether gas, where formation of density fluctuations balances their dissolution and Universe appear atemporal, albeit it's still full of random motion. Every time arrow observed is therefore a local effect only.



While thermodynamical time arrow appears broken above CMB scale for material objects, it's just an effect of inverse geometry, in which dispersion of information occurs. Thermodynamical time arrow still remains valid here due the dispersive nature of energy spreading. In AWT gravity is just thermalization as being observed from exsintric perspective of Le-Sage Aether model. All forces are of dispersive nature, which is behaving like shielding Duillier-LeSage force from dual perspective (dual force to gravity is pressure of radiation, i.e. the only force, which can defy gravity). But we are observing universe from both perspectives, so we shouldn't omit gravity when talking about entropy from general perspective. Note that near CMB scale inverse square law for gravity becomes violated due the cosmic microwave radiation and gravity becomes effectively repulsive force bellow this scale, because of prevailing pressure of CMB radiation. This manifests by violation of equivalence principle in 3D and by weak deceleration assigned to dark matter. Again, it's just an result of perspective inversion - as a finite size fluctuation of Aether we're observing the same Le Sage gravitation "from inside". From local perspective time arrow and sign of gravity are related mutually by trivial projective geometry of mutual interactions of density fluctuations via transversal waves.

AWT and multiple time dimensions

Concept of multiple time dimensions is dual to atemporal universe concept and AWT supports them both. In mathematical physics, a framework of equations is often put forward to model the physical universe. In some sense, a dimension simply means that a mathematical variable exists in some equation, allowing the use of certain mathematical tools. The physical implications of multiple dimensions are theoretical, at best; as it is not always clear what real meaning these extra dimensions actually have. Ascribing real, physical existence to multi-dimensional universes is largely a fringe idea and is not widely accepted amongst the scientific community because of lack of experimental support. Note that the concept of multiple time arrows excludes the concept of single God and creation, both predicate logics of formal math rigor, which are based on single causual time arrow and as such is thereofore refused both by deists, both by proponents of mathematical universe.

While multiple time concept gains popularity in recent time in the similar way, like atemporal universe (1, 2, 3, 4), deeper insight of AWT is greatly welcomed here. One of the first physicists to suggest the idea of inverse time variable was P.A.Dirac for his antimatter formalism in the 1930s and Andrei Sakharov in the 1970s. S. Hawking later proposed the concept of imaginary time on background of imaginary complex numbers, used in quantum mechanics. A second temporal dimension is also seen in Penrose's twistor theory.

F-theory is a branch of string theory introduced by Cumrun Vafa, who develops mathematical descriptions, which involved a second time variable, reportedly. While it's said, many branches of F-theory involve multiple temporal (time) dimensions, Ed Witten has argued, that the second time dimension of F-theory is only a mathematical fiction used to simplify calculations. Put simply, Witten accepts additional spatial dimensions, but acceptance of at least one additional temporal dimension is less popular amongst researchers. It was established after recent discussion on Wikipedia, that F-theory is not a "two-time" theory of physics, because it has metric signature (11,1). This controversy documented illustrates the depth of confusion in contemporary physics, where clear interpretation of piles of formal equations, mechanically derived by various theorists from mutually inconsistent postulate sets remains completely unclear.

Nevertheless, from AWT perspective the situation is still quite synoptic, here. Until F-theory is claimed to be part of string theory, it's expected to follow Lorentz invariance as one of fundamental postulates of string theory. And the Lorentz invariance violates the concept of multiple radiative time arrows, so no place for additional time arrow exists in context of whatever version of string theory. Indeed, such constrain violates the concept of hidden dimensions too, because these compacted dimensions should manifests itself just by violation of Lorentz invariance, which renders string theory a fringe theory as a whole. The situation is even more complicated by fact, contemporary physics distinguishes many definitions of time, the definitions of time arrow in particular - which aren't guaranteed to be compatible mutually under various conditions. This case just illustrates the depth of general level of confusion in contemporary physics and the urgent need of robust conceptual basis based on predicate logics, i.e. in similar way, like formal math remains based so far.

AWT just illustrates, it's a refusal of Aether concept, which prohibits us to see the hidden dimensions all around us - in this sense, it belongs between bests supporters of string theory concepts. Despite of this, the perspective of multiple time dimensions is just a special observational perspective based on exsintric (quantum theory oriented) view of reality and it has no place in strictly local and causual insintric perspective, as being used in relativity, in special relativity theory in particular. The mixing of exsintric and insintric perspective isn't recommended here, as it leads to mathematical singularities and conceptual confusion, above presented.

The general understanding of radiative and thermodynamics time arrow in context of omnidirectional Universe expansion is, the forward time arrow leads to expansion of matter into smaller particles, including particles of radiation, i.e. bosons. This is the reason, why we cannot travel in time in larger extent, or we would evaporate or collapse. Evaporation is generally considered as a spontaneous process during which the entropy increases. But such view isn't quite general, because it's generally followed by spontaneous symmetry breaking, i.e. condensation of matter into larger groups as a result of gravitational collapse. Because physicists aren't sure, which process is "more spontaneous" here, the omnidirectional expansion of space-time from insintric perspective can be considered dual to gravitational collapse of matter, forming such space-time. In AWT the general boundary separating both these perspectives is completely observer dependent, i.e. the CMB or human scale, which is adopted to CMB scale.



Briefly speaking, all objects larger then CMB photons tends to condense by shielding effect of these photons, while the smaller ones are separated. The CMB scale corresponds the scale of solitons inside of human brains, as it brings the maximal degree of complexity, which we can interact with in common life. From human perspective every birth alternates death, the smaller organisms then CMB photons are serving like parasites or source of food for these larger ones, the droplets of rain smaller then CMB photons would evaporate in rain on behalf of larger ones due the surface dependency of vapor tension, and so on. From our observational perspective one half of universe matter would evaporate into CMB photons due the proton decay, while the rest of it will condense into black holes of the same size in the similar way, like false vacuum has separated into matter and antimatter during inflation. As we can see, we can met with dual time arrows all around us, because with respect of time dimensions our world is quite symmetrical and reversible and no prevailing arrow of entropy exists here, in fact.



From general perspective of AWT both history, both future of observable part of our Universe remains fragmentized into infinitelly many time arrows like foam membrane, which manifests by quantum uncertainty on both macroscopic scale (the past), both microscopic scale (the future). It means, time has a character of fractal foam or tree (1) in the same way, like the space foam - just dual to the later one. While such perspective is dual to atemporal Universe, we can say safely, both groups of scientists have their side of truth, here.

AWT and atemporal universe

In recent time the popularity of atemporal (timeless) Universe concept gained in similar way, like the popularity of emergence concept. This is not so surprising, because human understanding converges to Aether model rather quickly and both emergence, both atemporality belongs between important aspects of behavior of dense particle field. Such dense particle system is highly chaotic and atemporal and because no energy can propagate through it at distance, it can be considered "aspatial" as well. It simply has no meaning from causal perspective, as it behaves like empty void singularity with respect to energy and information spreading at distance. Unfortunately, just because various proponents of atemporal concept (J.A. Wheeler, D. Bohm, P. Yourgrau, Dennis A. Wright, J. Barbour's, P. Lynds, Ron Larther, Amrit S. Sorli and many others) didn't connected it with Aether concept explicitly, the concept of atemporality was left ignored by mainstream because of apparent lack of easy to follow (if any..) testable predictions (like the absence of global enthropy changes). Pure tautological idea without arrow of implicate logic isn't apparently enough even for positivistic approach of contemporary science from utilitarian reasons - no energy gradient has occured here.

In AWT the concept of time remains perfectly dual to concept of space. We can even imagine a hypothetical civilization, which would navigate through its dual Universe via time intervals mediated by longitudinal waves like bats - i.e. in dual way to human creatures, who are using space interval and transversal waves for such purpose (you can get the sample of bat clicking sound here). Therefore the concept of atemporal Universe is symmetric to concept of aspatial Universe and we can replace both of them by Aether concept easily without apparent lost of information.



This is because Aether concept still appears slightly more general, then the time or space concept and we can understand the relevance of particle nature of underwater for character of surface wave spreading even at the moment, when no surface wave can spread through it at all. This is because causal energy spreading in transversal waves isn't the only possible way of energy spreading and the longitudinal energy spreading is possible here, too. In addition, the concepts of both time, both space are rather abstract and derived from concept of particle environment like sand of water, which human mind has experienced first during its evolution. Therefore the water surface can serve as a good model for understanding of atemporal Universe concept. For example, we can imagine our space-time like 3D analogy of water surface, which we can observe via transversal surface waves only. What would we see on this surface?

At medium distance our view of 2D reality at water surface wouldn't differ very much from view of causal reality in 3D space. The so called capillary waves exhibit most pronounce transversal character of surface waves at 1.7 cm wavelength/distance scope and we can use them for explanation of relativity and Lorentz invariance concept in AWT. But at different dimensional scale our perspective would change radically.



At smaller distances the spreading of surface waves becomes dispersed into longitudinal waves by Brownian motion of water particles. These particles cannot be never seen by surface waves, because no object can serve both like subject, both like mean of observation at the same moment. But they still would lead to blurring of observable reality analogous to our observation of quantum phenomena at microscopic scale.

At the distant scale our view of reality would become analogous. As we know, only longitudinal waves can propagate at distance as so called gravity waves. It means, our vision of distant reality would become chaotic and blurry in the same way, like our observation of closest reality mediated by cosmic microwave background radiation. Gravity waves are related to vortices and tornados formation in fluids in analogous way, like gravitational waves in vacuum are related to black hole formation. Note that from exsintric perspective gravity waves remain tranversal ones in the same way, like capillary waves remains transversal from insintric perspective. We can met with 2D/3D version of T-duality and AdS/CFT correspondence in wave spreading here and because we can observe all artifacts in dual way, we can use water surface model for easy to understand prediction/explanation of quantum uncertainty principle. Note that the symmetry of longitudinal wave scale is violated toward longer wavelength even in logaritmic scale (compare the celerity curve for water above) - and we can use it for prediction/explanation of accelerated Universe expansion and CPT symmetry violation from particle simulation of space-time brane gradients as well.

Believe it or not, such view would change radically our understanding of cosmology at large scales. It would mean, our Universe is basically infinite and atemporal both at large, both at small scales and no real evolution or enthropy arrow occurs here. It would mean, what we can see in Hubble ultra deep field is not the formation of first galaxies in dark ages - it's just a foggy boundary of our part of Universe. It would mean, remote galaxies are widespread into infinity - we just cannot see them clearly. We can compare such view to the observation of landscape under haze. From distance every distant place appears blurry and foggy, although we can still believe, it would appear rather clear and transparent from local perspective. Every distant observer at the boundary of visible Universe would see our part of Universe from distant past in the similar manner, which we can experience in ultra deep Hubble field by now.

I do believe, the true motivation of atemporal Universe concept exist in a deep relativeness of observational perspective - but from AWT perspective this perspective isn't quite general, because it's dual to local perspective, which is indeed temporal and it has no meaning to generalize it for human observer, because we could not survive and/or exchange information in atemporal Universe anyway. Just the replacement of naked eye by devices enables us to interact with it vicariously. So we can always ask, which perspective may be more relevant for us - the remote abstract perspective dedicated to human intuition, which enables us understand and generalize - or the deeply local perspective represented by causal logics and formal math, which enables us to concretize and describe exactly the neighboring reality? From this perspective the atemporal Aether concept remains dual to fractal nested geometrodynamic concept - while the former one is still way way more palatable for human mind. We can still think, why is it so...

For me the most surprising aspect of AWT isn't the Aether concept itself - but a fact, nobody did ever attempted to think in such straightforward way. The common disbelief in Aether concept made people completely blind for dual vision of reality for long years. This should serve as a sufficient warning for human civilization: no matter how advanced it becomes, it may still remain quite primitive and short-seeing at certain level of thinking.

Can dimensionful quantities change?

This post is a reaction to recent deduction of Lubos Motl "Changes of dimensionful quantities are unphysical", presented on his blog. As Lubos belongs between conservative proponents of formal approach to theoretical physics, string theory in particular, his stance can be understood easily in this context. String theories are rather large group of quantum field theories, which are based on combination of quantum mechanics and special relativity postulates - between many others, which are specified less or more vaguely by math formalism used. Because Lorentz invariance belongs special relativity postulates, it's evident, string theory cannot derive violation its own assumptions, i.e. Lorentz invariance violation in rigorous way with compare to quantum gravity theory, which is general relativity based, so it uses a different postulate set. Therefore we can understand negativistic stance to all theories dual to Lorentz invariance, which are considering the changes in fundamental quantities, the "varying light speed" theories in particular.

In AWT Lorentz invariance is completely matter of observational perspective. The gravitational lensing can be interpreted both like manifestation of variable light speed in vacuum near massive object (an exsintric perspective of quantum mechanics), both like manifestation of constant light speed in curved space-time (an insintric general relativity perspective). The observer, which is deformed together with space-time inside of gravitational lens would have an tendency to consider light speed invariant and space-time deformed, unfortunately its rather abstract and local stance, as real observer usually cannot stay at the center of gravity lens (for example at the center of Sun or large galaxy).

The crucial point is the definition of fundamental SI units here, the meter and seconds units in particular. Until 1975 light speed was defined by using of iridium meter prototype since the second can be defined more precisely than the metre, in 1983 the metre was re-defined to be the distance light travels in a vacuum in ¹⁄_299,792,458 of a second, making the speed of light in vacuum a defined constant, c = 299,792,458 m/s. By AWT the omnidirectional space-time expansion can be interpreted as a fall of observable matter into black hole, the surface gradient of which is forming space-time. During this process vacuum becomes more dense gradually, so that transversal waves of light spreads more slowly through it, which the observer inside of it can interpret as an expansion of space-time. Whereas the observer which is using exsintric perspective would see the collapse of vacuum foam instead - from this reasons the cosmological constants differs so much in relativity and quantum mechanics. In SI system of units meter unit cannot change with density of vacuum and the second unit can change only if mass of cesium atoms will change with respect to kilogram unit, which may occur only, if cesium atoms will change their mass in dense vacuum in different way, then the iridium alloy. After then even gravity constant and fine structure constant may change (compare the Expanding Earth theory). The decrease of gravity constant would increase the frequency of supernovae used as a standard candles for measurement of distance and change our understanding of acceleration of Universe expansion observed. Recent measurements of a possible variation of the gravitational constant showed an upper limit for a relative change of 5•10^-12, while Expanding Earth theory needs a variation ten times higher than that measured. Changes in dimensionless fine structure constant observed in distant quasars and Oclo reactor are still unconfirmed.

From insintric perspective the massive bodies would expand together with space-time, but because space-time is preexpanded already, massive objects smaller then human/CMB distance scale (1,7 cm) would collapse slowly then the vacuum and they would shrink effectively, whereas larger object would expand faster in the form of radiation (i.e. they would evaporate in vacuum into bosons), until they fill the volume of the whole universe like gummi bears inserted into hot watter. It's evident, if we would measure the distance by wavelength of light, this distance wouldn't change, but the large massive objects would expand gradually and they would evaporate losing their mass. This prediction of AWT was confirmed recently, because iridium meter prototypes are still used for fitting of interferometers results.

The changes in kilogram prototype seem to be consistent with this finding, although the "Shrinking Kilogram Mystery" can be the consequence of abrasion due the primitive and somewhat drastic "cleaning methods", especially the usage of hot vapor, followed by mechanical wiping (note that the poor etalon is even manipulated without gloves). Iridium-platinum alloy is soften, then the chrome plated steel - so I'm a bit surprised personally, the changes in kilogram prototype mass aren't just a much bigger.

When rigid body meter prototype is used, the light speed could slow down gradually, because of increasing vacuum density with compare to matter density. From historical observations follows, such possibility cannot still be excluded with certainty.

From implicate topology follows, every system of physical quantities will remain always inconsistent by definition - if it would be fully consistent, we could replace all quantities by single one. It means, the change in one constant will affect the others in unpredictable way from less or more distant perspective. Analogous situation exists in theories based on at least two mutually inconsistent postulates: if these postulates will be consistent, we could replace them by single one, thus obtaining a tautology. This means, no theory can remain universally valid, or it couldn't be falsified (compare the AWT approach to Goedel's theorems). Therefore the finding of universally invariant quantity corresponds the finding of generally valid TOE. By AWT such quantity in gradient driven reality could serve the quantity of change as defined by polyomino algebra.

AWT and definition of space

In AWT theory the definition of space depends on definition of space-time, so that the definition of space cannot be separated from definition of time due the mutual symmetry of transversal and longitudinal wave spreading through Aether. This relation is one of most important finding of relativity theory, albeit rather unconscious / ad-hoced at Einstein's times - so that Aether theory extends the understanding of this relation to duality of space and time.

In AWT analogy the space-time is the density gradient, forming water surface. The space dimensions are the directions (space-time dimensions) planparallel to water surface, while the remaining direction (a time dimension) is normal ("perpendicular") to water surface. This model explains naturally the symmetry of space dimension and the asymmetry of time dimension (so called the time arrow), the various number of space and time dimensions and much more.

Surprisingly, nobody has pointed to this trivial analogy in physics after one hundred years or relativity theory development - isn't it somewhat strange? Anyway - it's apparent, both time, both space has a robust meaning in physics. If we admit, here's no space, we should admit, here's no time as well - and how we could explain the tangible difference in time and space symmetry (space has no arrow, so we can move along it rather freely), the various number of spatial and time dimensions of space-time and so on..? If something makes a difference, it must exists, because difference is, what makes things real in AWT.

The causal space-time is the place, where density of Aether exhibits some density gradient, so it can behave like water surface, which can serve for transversal wave spreading, i.e. for causal energy propagating at distance. Therefore the scope of space always correspond the scope of causal time arrow, which is virtually unlimited because of infinite mass/energy density of Aether by definition. Infinite (or zero) things usually doesn't need any further explanation from human perspective. Every fixed number is suspect from strictly causal perspective and as such it needs an even deeper explanation. Until the time is infinite by definition, the space remains infinite, too.



Space is always "empty" by definition, because motion in it doesn't requires, neither excerts an energy. If space could be visible, it would become a observer object in space. No pin-point object can serve both like subject of observation, both like mean of observation at the same moment, from this the deep misunderstanding of Aether concept follows. Aether cannot be observed, until it serves as a luminiferous medium of space-time by definition - therefore the speed of energy spreading is always invariant by definition and it has no reference frame in space. If we are moving under exchange of energy with environment via dispersion or during climbing to hill, we can be sure, we are moving in space-time - not just space. If we could observe space, it would mean, space isn't space anymore. Due the nonlocality of every observer and observation process in space-time (real observer isn't never pinpoint object by the same way, like every observation at distance takes some nonzero time), the emptiness of space is always violated by the same way, like the Lorentz invariance at all space-time scales.

Because scope of space is delimited by scope of transversal energy spreading from local perspective of any observer, the limitation of space (and time) scope is the speed of causal energy spreading from observer, the light speed in particular. Therefore we can say, radius of observable Universe corresponds the speed of light spreading multiplied by age of observable Universe.

Another limitation of space concept is the scope of causal energy spreading along single time dimension. Whenever observer starts to move in another time dimension(s), we are saying, it undergoes a dispersion or compactification. Due the presence of cohesion forces inside of object, dispersion usually begins at surface - so we are saying, it collapses or evaporates. The evaporation of water or meteors during their fall through Earth atmosphere, the evaporation of matter in contact of magnetosphere of magnetars or during fall into black holes are all dispersions of energy wave packet forming observable object from AWT perspective. Therefore inside of observable Universe the space is limited by stability of observer - it cannot cross the boundaries of observable space, or (s)he would follow another dimensions of space, i.e. (s)he would collapse and/or evaporate into smaller particles of matter, or even into pure energy, i.e into radiation.

From symmetry of time arrow follows, every dispersion of matter into smaller particles bellow observer scale is followed by some compactification of smaller particles into large objects above the observer scale. We aren't considering the dispersion or collapse as a traveling in time usually, but this is exactly, what these things means in AWT. Note that the dispersion corresponds the traveling into past, whereas the collapse denotes the traveling into future with respect to omni-directional space-time expansion. The observer space-time scale usually defines the local boundary between both time arrows. Due the breaking of symmetry between insintric and exsintric perspectives (every local object appears like part of global object, inside of which it resides), the symmetry of space-time arrows is violated toward a dispersion from local observer perspective, so we tend to believe, entropy of Universe increases as a whole.

Of course the boundary between time arrows isn't always completely sharp due the particle nature of space-time gradient by the same way, like symmetry between insintric and exsintric perspective (i.e. the boundary between space and observable objects inside it). When symmetry of dispersion is broken, we are talking about refraction, the gravitational lensing in particular. For example dark matter can serve both like space, both like observed object. With compare to various field theories, AWT doesn't require some tangible particles for dark matter to exist. In AWT interpretation the streaks of dark matter can be simply formed by more dense areas of Aether foam. Such dense areas exhibits a refraction, when observed from distance - but from proximity they appear like normal transparent space-time.



The dispersion means, the transversal character of energy spreading and uniqueness of time arrow is violated, at least for some most lightweight particles, like the photons. Because causual energy spreading is mediated by transversal waves, the dispersion is usually followed by birefringence, which means, some portion of photons from some space-time events spreads in different directions in space depending on polarization of wave - which is impossible from strictly causal perspective. The collapse of object into black hole singularity can be understood as a violation of causality as well. Therefore the presence of some observable objects in space is always connected to some violation of causality and increase of number of time arrows - despite of we usually don't realize it. And every evaporation is manifestation of hidden dimensions of space by the same way, like every dispersion of light energy is a direct manifestation of Lorentz symmetry violation. In this way, AWT unifies our fundamental understanding of space and time and various other concepts by concept of particle environment symmetry.

Aether and the definition of time

By AWT everything, what we can observe from reality are just a "changes", i.e. the Aether density gradients ("gradient driven" reality). This follows from analogy of particle gas or fluid, where only density gradients/fluctuation can be observed directly. This is because every density gradient is behaving like place, where particles of environment are moving in circles like particles bouncing at the undulating water surface. It "undulates at place" in compactified (hidden) dimensions, thus making "permanent changes", so it can be perceived as a atemporal, persistent entity/piece of reality. We can see, the phase transition is nothing else, then the compactification of underlying space-time. Note that the space dimension compactified becomes a time dimension in the space-time, which is formed by compactification of previous generation of "hyperspace" ("false vacuum"). This corresponds the relativistic perspective of the matter wave motion through space-time along geodesics, thus fulfilling Fermat's theorem. Note that the Fermat's theorem is consequence of Huyghens principle, which is the special case of principle of least action, which leads to the description of matter motion along geodesics as a Hamiltonian flow. By such way, the AWT explains clearly, what the time is and how it is related to the spatial dimensions. Ironically, it was Heidegger in his anti-philosophical work (Being and Time), who concretised time as the essence of "existence", whereas Einstein's relativistic stance might imply time's abstract nature.

In AWT the existence of space-time follows from asymmetry between spatial and time dimensions, which was created during Universe inflation. We can expect, from sufficiently distant perspective this asymmetry will be replaced by another one, because Universe is arranged randomly. By AWT the time is asymmetric, because it’s formed by density gradient of Aether. In analogy to local space-time with water surface, the space dimensions are the directions parallel with water surface, while the time is the direction normal (perpendicular) to this surface gradient - as such it’s always oriented from past to future (it exhibit's an "arrow").

The above animation illustrates, how the same phase transition occurs in more dimensions. We can see, the space-time formation is nothing else, then the condensation of matter into density gradients, forming this space-time. Note that the life on particularly stable/atemporal space-time (mem)brane implies the existence of pair conjugated time dimensions (1, 2, 3, 4), because the membranes of foam are consisting of pairs of surface gradients. The existence of more time dimensions can be derived by many ways. The backward time arrow is connected with negative (i.e. repulsing) gravity action and negative rest mass, for example. The particle of antimatter are living in backward time arrow partially: they're dissolve into radiation, while the particles of normal matter are condensing by their gravity. The existence of multiple time dimensions is related to the longitudinal energy spreading at higher of lower energy density. We can met with its analogy at the water surface, where the very small or large waves are of pronounced longitudinal character due the dispersion (compare the celerity/wavelength dependence for surface water waves).

The uncertainty of quantum mechanics follows from pronounced longitudinal wave spreading of energy between fluctuations of vacuum and it's manifestation of many time arrows of space-time convoluted at Planck scale (compare the Feynman's many path integral formalism). The vacuum foam tends to be formed by spherical bubbles after introducing of energy or near gravitating objects . The separation of surfaces forming the Aether foam (mem)branes and the path splitting of chiral bosons (light cones) at GUT energy scales (10+14 GeV) manifest itself like so called Faraday/Kerr and birefringence effect in vacuum. At high values of electrostatic or magnetic field near magnetars or inside of strong gravitational field of rotating black holes such birefringence leads to the formation of multiple event horizons / space-time branes.

In my understanding, inside our generation of observable Universe a two reciprocal time dimensions are dominant, related by 1:10{+500} duality at 1.27 cm scale. In AWT object is moving in time dimension, when it expands (to past) or collapses (to past) above 1.27 cm scale. For objects smaller then 1.27 cm the direction of both time arrow becomes reversed. For example diffusion, evaporation and/or condensation is a travel accros time dimension(s), as it requires transfer of energy (usually in form of inertial acelleration) without general change of spatial location.