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From: Osher Doctorow on 7 Jun 2010 22:09 From Osher Doctorow Wikipedia's "Sign Function" or "Signum Function," sgn(x), gives the definition: 1) sgn(x) = -1 if x < 0, 0 if x = 0, 1 if x > 0 (so sgn(x) = x divided by |x| if x is not 0). We can then rewrite ERASE at least in the case of certain functions as follows. Let us define: 2) f(-r) = exp(-r) Then: 3) ERASE f(-r) (that is, ERASE applied to the - sign of -r) = f(-r sign(-r)) = f(r) = exp(r) Thus, we can obtain the Inflationary Expansion exp(r) from the beta decay (weak interaction) exp(-r) by using the ERASE function. We can also use this idea to obtain a model of the Strong Interaction as kr^2 from Newtonian Gravitation as Gm1m2/r^2 up to constants. Osher Doctorow
From: Osher Doctorow on 7 Jun 2010 22:26 From Osher Doctorow Notice that the Strong Interaction separated from the Electroweak Interaction (Gravitation had already separated) in an era immediately adjacent to Inflation, but also was preceded by the previous separation of Gravitation from the other Interactions. The two last statements of the previous post may have involved a similar simple ERASURE for this reason. Osher Doctorow
From: Osher Doctorow on 7 Jun 2010 22:44
From Osher Doctorow I should mention that Chaplygin Gas, which is one theoretical explanation of the Accelerating Universe, satisfying: 1) p = -k/rho^(k1) for k, k1 positive constants and p pressure, rho density may in fact be half or so of the "ERASE-ADD" substratum of the Universe which theoretically (the latter) is expected to be a very, very thin substance on which the Universe's ERASE and ADD (UNERASE) operations occur. We arguably have an intuition of such a very thin substance from ERASE-ADD operations in thinking which seem to have a much "thinner" and less distinct quality than perception, or in non- auditory and non-visual perceptions which seem to often be "thinner" than auditory and visual perceptions. Erwin Schrodinger, if he "intuited" this, may have been right in suggesting that biology is the next domain to be studied by physics. It is difficult to know how to use these possible relationships, but one way would be to search for brain functions not captured by the usually known properties of neurons, by using physics models rather than neural networks (the latter simulate neurons). There is a slight possibility (which may be bigger than we think) that advanced life forms AUTOMATICALLY link to Chaplygin Gas as the Universe expands. This would directly suggest the criticality of studying brain functioning from these viewpoints. Osher Doctorow Osher Doctorow |