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we get a reduction in entropy, which we’d expect mathematically. This would result in a -1 change, or fall
in entropy.
Assuming positive simplex numbers based on an axiom that dimensions can’t be negative, then entropy
increase would be large. However, if we take the mean of both these results, we increase entropy by +1 as
before.
I would suggest that in real terms, considering negative dimensions to exist only as quantum fluctuations
of a singularity (0-dimension), which would then naturally favour positive dimensionality asymmetrically,
producing a natural arrow of time. However, all these outcomes, once 0-dimensionality is reached (and
exceeded) give three strangely diverse quantum like results, such as:
i)
The singularity does not release information at all, because continuing on Fibonacci’s sequence
results in an entropy decrease.
ii)
The singularity can release the same amount of information that it receives, as ent ropy continues
to increase as previously.
iii)
The singularity is capable of releasing vast amounts of information. This would occur if the Black
Hole was losing a lot of mass, which brings us to Hawking Radiation.
ICY SCIENCE | QTR 1 2014