Science > Physics > Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis
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Science > Physics |
| User: |
"OsherD" |
| Date: |
23 Feb 2006 03:20:22 PM |
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Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
From Osher Doctorow
If dimensional analysis and dimensional homgeneity holds for all
equations of physics and engineering except for "provisional-empirical"
equations, then they should also hold for all inequalities of physics
with similar exceptions, which includes the Heisenberg Uncertainty
Principle (HUP).
In my recent threads, I showed that physical equations with variable or
piecewise constant exponents are more plausible than equations with
"universally fixed" constants in general, relating this to dimensional
analysis. See my threads under "Knowledge," "Dimensional analysis,"
"Exponents," etc. Arguably, this should also apply to inequalities.
We therefore have the plausible scenario that the HUP should be
written:
1) U(x)^a U(p)^b > c^d
where a, b, d are variable or piecewise constant exponents and c is
some constant (e.g., h/(2pi) and U( ) is uncertainty in whatever
variable is considered, such as x (position), p (momentum). The
exponents a, b, d are presumably nonnegative ordinarily here.
From what was explained in the above-cited threads, a or b arguably
have intervals where they are zero/nil (0), which for example with a =
0 on such an interval yields:
2) U(p)^b > c^d
But if the momentum involves light, then (2) says that the momentum of
light has an uncertainty greater than a positive quantity c^d on such
an interval, which either yields superluminal light speeds or prohibits
precise measurement of light speed on an interval on which position
uncertainty does not enter the scenario (the latter being even more
implausible than the former according to SR, etc.). Here the interval
is presumably that of time or some other variable than x or p.
So here the plausibility of only subluminal or luminal speeds and the
plausibility of the HUP as usually formulated appear to be
questionable.
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
23 Feb 2006 03:27:57 PM |
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From Osher Doctorow
Notice that if momentum is "zeroed out" on some interval, then we get a
somewhat amusing result that the uncertainty in position exceeds a
positive constant, which means that a "fuzzy position" is postulated.
So, contrary to Heisenberg's and Einstein's ideas, Fuzzy Multivalued
Logics (FMLs) arguably enter physics prominently. Roughly speaking,
not only are there black holes, but fuzzy (not necessarily black)
holes.
Osher Doctorow
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| User: "" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
23 Feb 2006 04:20:08 PM |
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"OsherD" <> wrote in message
news:1140730077.863966.237270@p10g2000cwp.googlegroups.com...
From Osher Doctorow
Notice that if momentum is "zeroed out" on some interval, then we get a
somewhat amusing result that the uncertainty in position exceeds a
positive constant, which means that a "fuzzy position" is postulated.
So, contrary to Heisenberg's and Einstein's ideas, Fuzzy Multivalued
Logics (FMLs) arguably enter physics prominently. Roughly speaking,
not only are there black holes, but fuzzy (not necessarily black)
holes.
Osher Doctorow
funny, fuzzy joke.
Heisenberg was momentum, not position,
Fuzzy logic has nothing at all to do with Einstein, the H man and little to
do with physics.
And you are speaking too roughly about fuzzy holes. Do the Math first.
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| User: "OsherD" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
24 Feb 2006 12:23:33 AM |
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From Osher Doctorow
Dr.Chumly so-called typed:
Heisenberg was momentum, not position,
Fuzzy logic has nothing at all to do with Einstein, the H man and little to
do with physics.
And you are speaking too roughly about fuzzy holes. Do the Math first.
Dr.Chumly@mit.mathphysics is actually another invalid.com troll, as you
can see from "options" next to his name/heading. This one seems to
know a little bit about "speaking too roughly about fuzzy holes," which
is something like saying that if driver A drives much and gets more
tickets than driver B who almost never drives, then B is a better
driver. I think that I've done better than over 99% of
scientists/mathematicians in translating into English.
Chumly knows relatively little about Fuzzy Multivalued Logics, probably
getting his information from Loftus Zadeh's writings or his imitators.
Long before Zadeh, Lukaciewicz of Poland and then the U.K. and Kurt
Godel of Austria and then the USA explored relationships between fuzzy
logics and multivalued logics, which Zadeh usually almost completely
ignored (the guy was obsessed with diagrams and conversion to
computers). See Pavel Hajek's Metamathematics of Fuzzy Logics, Kluwer:
Dordreht 1998 for relationships between Fuzzy and Multivalued Logics
and clarity and depth of exposition that make Zadeh look like an
amateur schoolboy. Hajek, though, knows almost nothing about advanced
probability-statistics.
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
24 Feb 2006 12:48:30 AM |
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From Osher Doctorow
I should point out that computer obsession is not necessarily a bad
thing if one is also obsessed with interdisciplinary fields involving
(probable) causation rather than with algebra as such. Quite a few
computer people, unfortunately, do fall into algebraic or
algebraic-like quicksand in which they lose (probable) causation and
keep going in the rough equivalents of infinite or deeper and deeper
loops/quicksand with more and more pointers to other non-causal loops.
I think that it's largely the money - they're under Materialist
pressure to produce programs or algorithms for money, which Ingenious
Imitators are always eager to buy since Imitation is far easier if you
just have to use canned programs or follow cookbook instructions. It's
also arguably the Bureaucracy - many of them are engineers which are
the rough equivalent of "licensed practical physicists" with all the
Bureaucracy and Power-Materialism that goes along with control and use
of licensing and the power of ousting Nonconformists.
The big money people in physical algebraic topology and algebraic
topology (the ones who get about $1,000,000 or more a year in grants)
almost invariably use it for "computerization" or computer-related
alleged expenses, which has of course produced close to zero (0)
predictions, zero experiments, etc. It's notoriously hard for
investigators to keep track of computer funds, not to mention anybody
else except the person who's actually using the funds. Even if the
funded person claims to have 200 people working feverishly on programs,
with no predictions or experiments and no measure of "feverish" (heck,
some people can spend their whole lives "feverishly") how is the funded
person accountable?
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
24 Feb 2006 12:51:45 AM |
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From Osher Doctorow
I meant to type "algebraic topology and algebraic geometry," not
"algebraic topology and algebraic topology."
Osher
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| User: "OsherD" |
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| Title: Re: Causation/Causality, Memory, and Convolution 13: Inequality Dimensional Analysis |
24 Feb 2006 01:15:45 AM |
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From Osher Doctorow
Also, it isn't Loftus Zadeh but Lofti A. Zadeh to my recollection. He
was Iranian and ended up at U.C. Berkeley engineering department
through the route MIT --> Columbia U. --> U.C.B. after coming to the
USA. Columbia U. is notorious today for its pro-Islamist departments,
faculty, administrators, etc. MIT is at the bottom of my list of top 8
USA universities together with CalTech, both of which are there mostly
because they imported a few geniuses from elsewhere (a few more than
did other universities). U.C.B. is part of the University of
California 9-campus billion-dollar (several billion in fact) system
which doesn't make my list of 8 (the others of the 8 are Princeton,
Harvard, Chicago, Stanford, U. Texas Austin, U. Florida Gainesville)
since they are mostly Ingenious Imitators rather than leaders and are
as scared to death of Nonconformity as the "Anti-Spam" internet posters
and sites are scared of unexpected messages (one might facetiously say
that they wouldn't recognize a Miracle if it fell on them, or more
likely they would exorcize it). By the way, Harvard is about to leave
my list of top 8 because they're allegedly going to oust their
President who stood up to Islamist Terrorists and returned the money
that the Saudis gave Harvard. That's almost as bad as Tienamen Square,
Ethically speaking.
Osher Doctorow
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