Re: A question of discrete space-time, part 3

<snip>

> To summarize these three spread*** results:
>
> sample
> size delta-V delta-P delta-V*delta-P
> 100 0.257583 25.7583 6.635
> 1000 0.081455 81.4550 6.635
> 10000 0.025758 257.583 6.635
>
> This fourth emergent property of a discrete space-time model (a
> tradeoff between measuring a unit particle's probability of motion,
> i.e., its velocity, and its position, where the product of the two is a
> constant) seems to correspond to Hiesenberg's uncertainty principle
> in conventional continuum physics. Unfortunately, once again, this
> emergent property is not sufficiently different from continuum physics
> to allow for a concrete test that will distinguish between the two.

Dear members,

In my previous post to part-3 of this thread, it was noted that the
textbook probability value at a 99% significance level for (delta-V *
delta-P) turns out to be a constant (6.635) regardless of the sample
size.

The really interesting thing about this constant is that its square
root is equal to 2.58, which happens to be the number of standard
deviations associated with the 99% significance level that was chosen
for this example. If any other significance level had been used
instead, say 68% or 95%, then the constant would have been the square
of that standard deviation, approximately 1 standard deviation and 2
standard deviations, respectively.

Since any measure of standard deviation always has the same units as
the original measurements, it would follow that this (delta-V *
delta-P) constant should contain the fundamental units of whatever is
being measured!

It should be possible to take the value of the (delta-V * delta-P)
constant from nature, and derive the basic units of the proposed
discrete space-time lattice, i.e., the size and duration of a single
quantum of space-time.

The (delta-V * delta-P) constant found in nature is Planck's constant,
and the size and duration units derived from it are Planck's length and
Planck's time. These ought to represent the fundamental granularity of
the universe. Conversely, if there were a fundamental granularity
within the universe, that granular quantity should show up in nearly
all equations of physical law that use units of time or distance, as
Planck's constant seems to do.

Does this still make sense, or is this still just a bizarre
coincidence?

Regards,
Ed Hanna

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