Einsteins original intuition about the universe was that is is quasi-static. His Special Relativity is Euclidean, flat and posits Lorentz transforms which are observed locally, near invariant frames of reference. Later Einstein generalized his concept of relativity (Classical General Relativity) within a closed spherical geometry in 4 Dimensions. Further investigation indicated that classical particles can only be formed within a 4 Dimensional system.
Although other non-euclidean geometries also fit Einsteins GR formula's, the first geometry to provide solutions to Einsteins GR formula's was Schwarzschilds "Two-sphere" mirror geometry. The positive solutions to the GR formula's predict a marginally closed space/time in the universe. Initially the negative solutions, which also fit the negative solutions to GR and QM were assumed to be vestigial. The work of Dirac, Bohr and others has cast doubt on whether these solutions are really vestigial, suggesting that the universe might exist in a bi-particulate condition on two 4D tracks, each particulated in opposite polarity.
Originally, Guth proposed that inflation be restricted to the Planck Realm. This is completely acceptable in a SRT/GR/QM universe for only slight changes need to be made in the geometry...a Planck realm being substituted for a point mass at the center of the geometry. Recent extensions of inflation to include the entire cosmos are very dubious conceptually and essentially relegate the SRT/GR/QM model to the status of of a "cross section" of a very hypothetical and non-observable multi verse.
The fact that many scientists, even well known and respected ones frankly reject the Einsteinian model, regarding it as a tiny cross section of a hypothetical infinite cosmos with many realities reflects the unwillingness of these people to take the implications of Einsteins theories seriously. The truth of course is that the universe we live in is Einsteinian. The conjecture that there is something "beyond Einstein" begs the reality that no tested aspect of relativity has ever cast doubt on Einsteins ideas. Every time we land in an aircraft "0/0" our safe arrival is assured by the accuracy of Einsteins concepts, developed 100 years ago. Time dilation has been experimentally verified. So have time/space/mass relationships elucidated in the theories of Einstein.
A famous astronomer recently proposed that a distant galaxy is 31 billion light years from the Earth due to the "expansion of the universe", even though the light from that galaxy left that galaxy 13 billion light years ago. The careful reader immediately realizes that this conceptualization of the universe is completely inconsistent with General Relativity. In a GR universe, no part of the universe is ever, at any time, farther from any other part of the universe than the age of the universe itself...everything was singular 14 billion years ago at the big bang. This is just one example of weird geometrical assumptions about the universe which have no proven basis in fact, being proposed as "fact". The general term for such geometries is "Cosmic Variance". GR is a deterministic concept with invariant frames of reference and transforms related to the coordinates of the observer- and GR is the verifiable idea. All of the observations of Hubble and others regarding the "expanding universe" can be fully explained- and experimentally verified- within Einsteins quasi-static model...as that same famous astronomer is well aware.
This of course does not mean that "Cosmic Variance" has no basis in fact. The problem is not variance, or that the universe we observe is a "cross section" of reality. The problem is that the universe in GR does not exist beyond the big bang.
Cosmic Variance is scale related within an eternal universe of finite mass. We observe the universe on 4D event horizon "surfaces". At higher orders of magnitude and lower orders of magnitude of scale, "cosmic variance" does indeed exist, and with proper instrumentation, what is found there can be observed, and the conditions there related to the world we know. However there is nothing outside a GR universe...by definition. There is nothing wrong with speculation, but speculative theories, regardless who proposes them are speculation.
The verified reality we live in is eternal, finite in mass, marginally closed in geometry- and Einsteinian. We exist on that basis.
www.geocities.com/aletawcox (archived)
Sincerely, Samuel A. (Sam) Cox