From Osher Doctorow
From the last few postings of this thread, it is arguable that
probability-statistics parameter change (that is to say, change in
population means, variances, or even population correlations of random
vaiables) is a fundamental a change as a change in topological
invariants such as genus (number of holes). Ordinarily, population
means, variances, and population correlations are fixed population
quantities or constants, but if they do undergo change then major
physical changes such as the onset of acceleration of the increase (or
major increase in acceleration, etc.) seem indicated. Remarkably, the
changes themselves for positive acceleration can build up continuously
in the previously thought to be "constant" population parameters like
mean, variance, correlation, although major physical changes would
arguably only be noteworthy as different limits are approached such as
0 or 1 for magnitude of the population correlation coefficient.
Because of the probability-statistics similarity with topology in
invariants or their change, it might be guessed that topology is really
a branch of probability-statistics or at least an analog of the latter.
Since continuity is so prominent in probability-statistics as
developed in my threads via Probable Influence (PI), the claimed
discrete topological invariants or changes of Loop Quantum Gravity
(LQG) seem either contra-indicated or misinterpreted under this guess.
Osher Doctorow
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