In our last post, we delved into the subject of the "Fine Structure Constant" and just how much can the "FS Constant" deviate before the (our) Universe comes apart and decouples - thus causing the cessation of existence?
Naturally, we resorted to the great works of giants such as Steven Weinberg (see "The First Three Minutes").
In his classic, rigorous physical description of the "Frames" (hence we shall refer to these as the "Weinberg Framework") of the changing nature and temperature of the universe we find that the Universe has been evolving. Hypothesis: If the Planck Temperature (or Universal Temperature) has been decreasing since the first microseconds of the Universe, how has the FS Constant changed over this time.
To determine the dependency of the FS Constant (also known as "alpha"), we used the formula for the so-called Planck Temperature and used it to relate to a "Universal temperature" over the first six (and only) frames of the Weinberg Framework. Using this relationship, we developed an equation to describe the variation in the FS Constant over this time. (See bitmap diagram below).
This equation is dependent if and only if ("iff") the electronic charge, the speed of light, the Gravitational constant and the permittivity of free space are unvarying and unchanging throughout this time.
Using this hypothetical basis, one can "calculate" new values for the FS Constant over the Weinberg Framework first six frames of the Universe since the Big Bang. These will be given in the bitmap chart below:
These are purely hypothetical calculated values for the FS Constant over the Weinberg Framework frames 1 through 6.
Which gave us an opportunity to develop a log equation and graph attempting to demonstrate the relationship of the Planck Temperature/"Universal temperature" over the early time frames of the Universe. See below:
Where y = -6E+63Ln(x) + 3E+64 (Where the "R-squared" value is only a miserable 0.4032, but this is only a trendline analysis and not an actual data-fit curve).
Addendum (as of 9/11/2006): If it is possible that alpha has varied logarithmically over the first several cosmic decades...is this a new definition for inflation?
Was the expansion of the universe exponential as a result of the relatively rapid changes in the relationships of the Fine Structure Constant? This seems paradoxical as the Universe was expanding and cooling at the same time.
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