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THE NEW COSMOS

A mathematical, graphical model of the Universe according to the

Hot Big Bang Theory using extensive variables and therefore giving new insights

    AND THE HYPERBOLIC FIELD HYPOTHESIS FOR MOND

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THE ACCELERATION SCENARIO

 

 

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Return to part 1B (continued)

 

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Figure 3 below describes the case wherein the universe is expanding at an accelerating rate in the present era. Note the Hubble parameter curve and velocity curve do not intersect t = 1 at the point of intersection of the H0 data linear regression line and not even at any other reasonable point. Also, please note there are no multiple points of intersection. Such intersections with a crucial boundary line constitute evidence of invariances, symmetries, conservation laws and fundamental constants.

The acceleration scenario displays much less graphical and somewhat less mathematical symmetry and does not much illustrate Noether's theorem. Remember that these equations are semi-theoretical as well as based on phenomenology. So, being theoretical in part, they should potentially be able to respect Noether's theorem. The H0 linear regression line in this figure is not included for the sake of simplicity. Its intersection with the t = 1 line occurs at about H0 = R = 0.854.
 

 

FIGURE 3

 

SCENARIO 2: THE CASE OF ACCELERATING GROWTH

Change the label of the abscissa to match the nature of the curve being viewed, all plots being on the same scale.

 

 

 

 

 

 

                   

 

 

 

 

 

 

FIGURE 4

    IMPOSSIBILITY OF ACCELERATION

    ACCORDING TO COMMONLY ACCEPTED CRITICAL HARD DATA

AND HUBBLE THEORY

     

 

 

 

 

 

When depicted purely in extensive variables and in natural units, acceleration must be shown roughly in this way. This picture is an absolute geometric, logical necessity. Then, if the universe expansion rate is accelerating and has been doing so for billions of years, we are now receding from other galaxies faster than the speed of light, note the high slope near t = 1, and H0 is considerably greater than 1.0. It would be around 1.33 for this degree of positive curvature. This is clearly not the case. We would not even be able to observe the CMB if it was or else the CMB that is observed is a result of our “catching up” to light that was emitted in the more recent past. This is so because it is space that is stretching, not actual velocity of the objects within it. Objects may catch up to light if the space between them, our instruments, and the photons in question was shrinking. The CMB would then have to have been egregiously misinterpreted.

Note that H0 must be applied to the absolute value of the distance between objects, so the net recession rate will not be so very high near t = 1.

 

 

continued in part 3 (end)

 

 

 

Back to part 1B (continued)

 

 

 

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NEOCOSMOLOGY

 

A better term for "new cosmology" is "neocosmology" because it is a single word, has fewer characters, is easy to pronounce or spell and the prefix is well known - even to kids. The word should refer to current precision cosmology that updates the version of older scientific cosmology that was in effect before about 1970. It is based on instrumental astronomy as a branch of modern physics. The kinds of instruments used are large telescopes like the upgraded 200 inch Mount Palomar telescope, the Keck Telescope on Mount Mauna Kea, the Hubble Space Telescope, spectroscopes like the ones built into Hubble and additional ground or satellite telescopic light analyzers and other sophisticated, advanced, electronic computer aided devices.

The main hypotheses of neocosmology, according to the best scientific logic, must regard quantum science as an integral part of its basic argument. This is because in order to admit the probability that the universe (U) began 13.72 billion years ago in what is called the Big Bang, it is necessary to build the argument starting with the premise of its inception as an exceedingly small quantum particle called an "inflaton". This subnuclear entity, having the properties of both a wave and a solid particle, requires the invocation of unique properties of physical quanta of the kind described by Erwin Schroedinger and other physicists as early as the 1920s. In fact, "quantum mechanics" has been around for so long that it has become the most thoroughly validated theory in all of science.

Hypothetically, U began long ago as a quantum wave/particle subject to advanced, complete relativistic quantum theory with its need to allow four fundamental forces that can be described as "fields". These are the electromagnetic, weak nuclear, strong nuclear and gravitational fields. Putatively originating as a quantum object, it would still be a quantum object at the present day. Therefore, it should still be subject to the same probabilistic or statistical laws that govern quantum mechanics right now. In order to satisfy requirements of statistical law which must be based on observation of numerous instances, there must hypothetically be many more than one U. That is, U must really be part of a multiverse (M). There must also be at least the possibility of observing other components of M, of observing other universes.

Classical physics would say that observation of other universes is not feasible, by definition. But, our world is actually a M that has a unifying theme. The unifying theme is gravity.

Randall has suggested that leakage of gravity out of our unit of M accounts for the fact that this force is the weakest by far of all the fundamental forces. To where is gravity leaking?

By this hypothesis, there must be dimensional manifolds outside of ours into which gravity may leak. If gravity can leak out, it can also leak in from this nether land of M. But, it must leak from other units of M through the highest stress zones in the overall complex manifold of all fields confined by our unit. These very high stress zones would likely be galaxies, galactic clusters and superclusters for only they would have masses and matter/energy concentrations large enough to show the effect. This is because the leakage consequences are so subtle. So, offsetting gravity's weakness due to its focused outbound leakage there is a very diffuse inbound leakage that is discernable only upon observation of whole galaxies and clusters.

Some of the other units in M, but only some, are nearly identical with ours except for the orientation of individual galaxies. They would be rotated relative to one another and offset slightly according to the Heisenberg uncertainty principle. The diffuse gravitational field coming from these shared stress zones would be superimposed upon the primary gravitational field of a galaxy or cluster existing in our unit. This overlap or inter-unit diffusion field would be smeared out and would necessarily have a much larger extent than the primary field. So, it would correlate to the MOND constant that is observed in galaxies and clusters. MOND stands for "modified Newtonian dynamics". Note that this scenario implies no intrinsic conflict between MOND and relativity theory.

Thus, in this description, the quantum nature of M accounts for some peculiar inferences. One is "dark matter" (DM). It comes from the same kind of galactic velocity distribution observations that suggest MOND. This DM alternative to MOND is truly dark because its source must be outside the boundaries of our unit of M. This may be said because the effect is observable only by its impact on the force of gravity regardless of its source, whether DM or MOND’s add-on to Newton’s Law. But, it would appear that gravitational effects are the main unifying thread that ties units of M together.

As a mere hypothesis, this is very good. It is good because this narrative paints a picture that is exquisitely simple and beautiful.  

The most logical form of neocosmology is also set strongly against the idea of "dark energy". It contends that the putative expansion of U is decelerating, not accelerating. Deceleration has heretofore actually been expected, so there is no new need to postulate dark energy to account for the misinterpretations that imply anomalous acceleration. The relativistic flatness of U is due to the quantum geometry of M that is truly subject to quantum "mechanics". See http://neocosmology.blogspot.com within Blogger.com for details.

But, there is another thing. The quantum nature of our unit of M means, as a quantum wave/particle, it would have interference contributions to its overall waveform. This is necessary for its complete description. In particular, it would have at least the superposable interference waveforms which we may call A and B. Then, it would also have superposable interference waveforms -A and -B. The total number of superposable, potentially overlapping or hybridizable interference and auto-interference or second order interference wave components would be, at minimum, A + null, B + null, ‑A + null, ‑B + null, A+A, -A-A, B+B, -B-B, A+B, A-B, -A+B, and ‑A‑B.

Antimatter should be confined mainly to the negative (-) contributions. This is why, putatively, there is virtually no long lived antimatter in our unit of M. Therefore, since no symmetry breaking within the standard model is implied, there is less need to invoke M-theory, superstrings or supersymmetry and their implication of dark energy. Success of this theoretical interpretation would be actually another natural test of the M hypothesis as would be the behavior of gravity according to MOND. It should be unnecessary to invent Baroque versions of relativity or actually entertain any Rococo form of Newton's Law. The MOND constant would be explained without recourse to fundamental change, just an addendum. Relativity would require only an extended footnote. God would remain on His throne and all should be right with the world.

And, the total mass of the whole of M would be the sum of the masses of the unit contributions. In order to have a theoretically flat quantum relativistic geometry that appears truly flat in the cosmic microwave background (CMB), which would have been emitted under nearly initial conditions, our domain or unit of M would display the equivalent mass of  A/[A + B + |- A| + |- B| + (A+A) + |-A-A| + (B+B) + |-B-B| + (A+B) + (|-B|+A) + (|-A|+B) + |-A-B|] or 1/[1+1+1+1+ 2 + 2+ 2 + 2 + 2 + 2 + 2 + 2]  = 1/20. So, by this account, the matter/energy that we can see would be all that there is in our unit of M, considering that we are talking about the case where there is not really a separate contribution from dark matter or dark energy.

So, it is logical that the effective mass of our unit, A, that was operative at least during and shortly after the Big Bang, should be about 1/20 or 5% of the mass/energy of the whole of M. This 5% may be necessary to display “original”[1] flatness in the CMB according to calculations of thee components sof Ω. At the present time, the interference contributions, the different units of M, have possibly diverged in some sense but are still at least gravitationally superposable and contribute to the inferred total mass/energy as a group.

Apparently, observation implies that flatness may require just a little over 4% of the total mass being counted as visible matter and energy with the rest ascribed to dark matter and dark energy. But, we have not even discovered all the matter/energy that actually exists in our unit, A. For instance, there are brown dwarf stars, rogue planets, rogue stars and immense dark galaxies (hydrogen clouds that have not yet condensed into galaxies). These have not yet been added to the inventory. So, the tally of matter/energy that we can see or deduce may yet amount to the “correct” inventory of about 5%, if quantum principles are invoked. But, the meaning here is that dark matter and dark energy are unnecessary to balance the books if this is a truly quantum universe.

Finally, since we must consider the whole of M when inventorying matter and energy and this inventory must include antimatter components in the various units, the sum of all the matter and energy in M must be zero. Therefore, there is no problem in hypothesizing the appearance of the M ex nihilo. Conservation of energy is still valid. This constitutes yet another natural test of the multiverse hypothesis.

It is far too easy to object to an idea. This takes no intelligence at all. What is more difficult, requiring real brains, is to suggest a fix for any flaws that are found. Nearly all ideas offered constructively and in good faith are good ideas. The challenge is to find a way to make such ideas work. This is the real demonstration of a high I.Q.

 

 

[1]  “Original” refers to conditions in effect at or near the “origin” of M up until when the CMB was emitted 

 

 

 

continued in part 3 (end)

 

 

 

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