Sunday, November 09, 2008

Dual view to Universe expansion by AWT

By AWT both volume of Universe, both dimensionality of that volume is virtually infinite. But the speed of energy spreading is limited and the energy density of light, coming from higher dimensions is limited as well (in fact, we are still looking for gravitational waves). We can compare this situation to the illumination of foggy street by lantern. The street can huge, but we can see just a limited illuminated spherical part from it because of dispersion: the farther the light source is, the more the street appears dim and shifted toward longer wavelengths. At the case of Universe observation, we are interpreting this red shift as a result of omni-directional Universe/space-time expansion). By such way, at the certain distance the light intensity will cease to zero, we will reach the physical limit of the observability of Riemann's Universe sphere. This doesn't mean, the Universe has some limit at the surface of sphere - we just cannot see it by using of light in causal way anymore.

Due the symmetry of time arrow, we are limited by the same way not in cosmic scale, but in micro-scale as well. At the Planck scale the dispersion will take place and the neighborhood will disappear in quantum chaos. Due the Universe expansion we can interpret every look into distance as a look into past, while every observation of microscopic scale we can interpret as a look into distant future of our Universe. And both these views are principally limited not by the physical size of Universe, but by character of causal energy spreading. We are using a transversal light waves for collection of information, but at the distant scale the casual Universe character becomes dim a and blurry because of prevailing longitudinal character of energy waves.

To understand these connection by illustrative way, we can use a simple surface water model. The water surface is serving as a local space-time for surface wave spreading in transversal waves by the same way, like the vacuum is serving for spreading in transversal light waves. But this transversal character is violated by the dispersion of underwater inhomogeneities the more, the more the scale becomes different from characteristic wavelength of surface wave spreading, which has character of material constant.

As we can see from so called celerity curve, the surface waves are spreading by different speed, which depends on their wavelengths: here exists some minimum, during which the transversal character of surface waves becomes most pronounced and the waves will spread by slowest speed - the waves of 1,27 cm in wavelength are called capillary waves and they're not influenced by dispersion very much. From perspective of hypothetical creatures, living at the water surface this surface would appear most large at this wavelength (which corresponds the wavelength of CMB, by the way) - because energy spreads by the lowest speed here.

Because the light dispersion increases both toward lower, both higher wavelengths, our Universe would appear smaller when observed with the light of these wavelengths. We can observe it as a so called GZK limit at the case of gamma rays, for example. This is a natural consequence of the dispersive nature of vacuum, whenever the wavelength of light will shift from the optimal frequency by celerity curve. We should realize, we cannot detect the change in light speed directly in local measurements, because we are using the very same waves both for time, both for space measurements, so that the light speed will remain always very invariant. What we can observe directly is just a red shift in the characteristic spectrum frequencies of distant stars and galaxies.

The main problem in understanding of all these connections remains the fact, the people are observing the wave spreading from nonlocal, outer perspective, i.e. they're using the another, faster waves in observation and description of wave spreading phenomena. For example, when observing a surface wave spreading by using of light waves, the Galileo transform will take the place and everything appears normal from classical physics perspective, i.e. no relativity is here.
While at the vacuum we are used to observe the light wave spreading just by light waves, simply because we haven't no another, faster waves available. This introduces a new observational perspective, in which the relativistic effects are manifesting. The whole relativity is simply a result of classical physics of wave spreading, as being observed from perspective of these waves itself - that's all.

In AWT this local perspective is called an internal perspective, because the observer remains involved in experiment. For example, we can observe a gravitational lensing both from internal perspective, when the space-time becomes curved and the light path remains straight, both from outer perspective, when the space-time remains flat and the light path becomes curved.

It's rather consequence of widespread belief in power of relativity, both these perspective are interpreted by relativity theory, while just the internal perspective remains fully consistent with it, in fact. The outer perspective always violates the Lorentz invariance, because the speed of light spreading in vacuum cannot remain constant, or the light wouldn't spread by curved path. The gravitational lensing, as we are observing it usually is rather sort of quantum mechanics phenomena, the quantum gravity in particular. We cannot prove the curvature of space-time at distance, everything, what we can observe is curved path of light, so that the interpretation of gravitational lensing by relativity is rather sort of conjecture from strictly causal perspective.

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