From: S.J.Vickers@open.ac.uk
To: categories@mta.ca
Subject: Re: Cross-category "conversions" of some interest
Date: Wed, 12 Jul 2000 16:47:21 +0100 [thread overview]
Message-ID: <B5A6557CFDF6D211960E0008C7F35585036256AA@tesla.open.ac.uk> (raw)
Applying the conversion from x/y to 1 - x + y to the Heisenberg Uncertainty
Principle in the form xy > k where k is a positive constant (x, y
uncertainties in position and momentum respectively, for example, where
notice x and y are nonnegative in the standard deviation version of
uncertainty) yields xy = (x/y)y^^2 (where ^^ is exponentiation) --> (1 - x +
y)y^^2. For 1 - x + y < 0, which says x > 1 + y, the latter expression is
negative, so the converted form reads: (1 - x + y)y^^2 = -/1 - x + y/y^^2 >
k and therefore /1 - x + y/y^^2 < -k for k positive. Since y^^2 is always
nonnegative, this conditional holds trivially (always) provided that x > 1 +
y. Since x and y could be selected with exchanged physical roles
(uncertainties in momentum and position respectively, for example), the
condition that x > 1 + y is rather arbitrary and certainly will be fulfilled
for one of the two orders in which x and y are defined.
:
Osher Doctorow
Doctorow Consultants
Culver City, California USA
Even more strikingly, consider the identity 0/1 = 0 of classical
mathematics. Applying the conversion we find 0/1 --> 1 - 0 + 1 = 2 and
deduce 2 = 0, thus giving an unbelievably simple explanation of the Pauli
exclusion principle for fermions.
Steve Vickers.
next reply other threads:[~2000-07-12 15:47 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2000-07-12 15:47 S.J.Vickers [this message]
-- strict thread matches above, loose matches on Subject: below --
2000-07-20 2:15 Cross-Category " Osher Doctorow
2000-07-14 16:02 Osher Doctorow
2000-07-11 18:27 Cross-category " Osher Doctorow
2000-07-08 17:05 Osher Doctorow
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