Science > Physics > Spacetime continuity / discreteness is "indeterminate". No lie. This one's the real deal.
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Science > Physics |
| User: |
"" |
| Date: |
17 Jan 2007 12:10:28 AM |
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Spacetime continuity / discreteness is "indeterminate". No lie. This one's the real deal. |
James Harris nailed it. We now have a means to argue that space
exhibits topological indeterminacy. We can argue that it is sometimes
continuous and sometimes discrete.
The argument gets pretty wierd and you have to invent some math to do
it, but everything is completely consistent with the rest of math and
physics.
We also know a little more about topological indeterminacy from looking
at solution sets to some simple things like 0 = 0 * a, etc. The analogy
to spacetime is immediate and jives with known experiments perfectly.
This approach also explains how such a thing a Plancklength could even
be possible.
Lengths smaller than Plancklength are not strictly nonexistent, rather,
they are trivial, and "The Existence of a Trivial is Indeterminate".
Quantum gravity follows directly from this, and dark matter is
explained as a probabilistic phenomena.
And, we also have a much better understanding or the nature of
randomness and why it makes sense.
Thank you James Harris for this contribution to man's understanding of
math and physics, thank you, on behalf of all mankind, thank you James.
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| User: "galathaea" |
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| Title: Spacetime continuity / discreteness is "indeterminate". No lie. This one's the real deal. |
17 Jan 2007 12:35:20 AM |
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wrote:
James Harris nailed it. We now have a means to argue that space
exhibits topological indeterminacy. We can argue that it is sometimes
continuous and sometimes discrete.
The argument gets pretty wierd and you have to invent some math to do
it, but everything is completely consistent with the rest of math and
physics.
We also know a little more about topological indeterminacy from looking
at solution sets to some simple things like 0 = 0 * a, etc. The analogy
to spacetime is immediate and jives with known experiments perfectly.
This approach also explains how such a thing a Plancklength could even
be possible.
Lengths smaller than Plancklength are not strictly nonexistent, rather,
they are trivial, and "The Existence of a Trivial is Indeterminate".
Quantum gravity follows directly from this, and dark matter is
explained as a probabilistic phenomena.
And, we also have a much better understanding or the nature of
randomness and why it makes sense.
Thank you James Harris for this contribution to man's understanding of
math and physics, thank you, on behalf of all mankind, thank you James.
why not do it the standard way?
expand out the possible Forms
maybe using surgeries and connected sums S as classifiers
State =
sum over s elementOf S:
weight( s ) Form( s )
and build an algebra and interpretation for this
eg.
Probability( State has property P ) =
some algebraic expression of P
you fine tune the algebraic properties
to satisfy whatever logic you want for this
real deal
model
?
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar
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| User: "" |
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| Title: Re: Spacetime continuity / discreteness is "indeterminate". No lie. This one's the real deal. |
17 Jan 2007 09:31:53 PM |
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galathaea wrote:
huangxienchen@yahoo.com wrote:
James Harris nailed it. We now have a means to argue that space
exhibits topological indeterminacy. We can argue that it is sometimes
continuous and sometimes discrete.
The argument gets pretty wierd and you have to invent some math to do
it, but everything is completely consistent with the rest of math and
physics.
We also know a little more about topological indeterminacy from looking
at solution sets to some simple things like 0 = 0 * a, etc. The analogy
to spacetime is immediate and jives with known experiments perfectly.
This approach also explains how such a thing a Plancklength could even
be possible.
Lengths smaller than Plancklength are not strictly nonexistent, rather,
they are trivial, and "The Existence of a Trivial is Indeterminate".
Quantum gravity follows directly from this, and dark matter is
explained as a probabilistic phenomena.
And, we also have a much better understanding or the nature of
randomness and why it makes sense.
Thank you James Harris for this contribution to man's understanding of
math and physics, thank you, on behalf of all mankind, thank you James.
why not do it the standard way?
expand out the possible Forms
maybe using surgeries and connected sums S as classifiers
State =
sum over s elementOf S:
weight( s ) Form( s )
and build an algebra and interpretation for this
eg.
Probability( State has property P ) =
some algebraic expression of P
you fine tune the algebraic properties
to satisfy whatever logic you want for this
real deal
model
?
The standard approach allows the particle itself to be a probabilistic
entity. Space is taken as continuous in that context. That's particle
physics.
But that approach is only half of the story.
You can let space itself be probabilistic, and suddenly you have a nice
way to model waves. Not only that, but space being either discrete or
continuous alternatively _does_ makes sense, as demonstrated by the
topological indeterminacy of the solution set of 0 = 0 * a.
I think that Feynman lived at a time when everyone was talking about
"nonexistence". But nonexistence does not make any sense. QM does have
virtual particles, but physics makes no attempt to explain these weird
existential phenomena.
Clearly - physics needs triviality. A quasi-existence. And, such a
thing does make sense, really very simple. Existential indeterminacy.
Makes perfect sense. It's already part of QM (virtual particles), but
not recognized as such. QM makes no explanation of virtual particles
popping in and out of existence, except perhaps something about
alternate universes or wormholes or something. None of that stuff makes
any sense. All you need is triviality.
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar
.
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