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From: Brent Meeker <meekerdb.domain.name.hidden>

Date: Tue, 10 Sep 2002 22:56:41 -0700

On 10-Sep-02, Russell Standish wrote:

*> Brent Meeker wrote:
*

*>> On 10-Sep-02, George Levy wrote:
*

*>>> Complementarity is a property of any two quantum operators
*

*>>> that are related by the Fourier transform (x <-> id/dx).
*

*>>> The proof is well known, and can be found (eg) in
*

*>>> Shankar's book.
*

*>> Come on! This is circular reasoning. Conventional QM
*

*>> complementarity requires 2D Fourier. Therefore 2D Fourier
*

*>> must describe complementarity. True for conventional QM. I
*

*>> was talking about other MWs within the Plenitude. Could
*

*>> their complementarity be described by Hadamar transforms
*

*>> for example?
*

*>> Observables come in complementary pairs (instead of triples
*

*>> or something else) because the laws of physics are 2nd order
*

*>> (partial) differential equations. Hence a position has a
*

*>> canonically conjugate momentum and vice versa. The reason
*

*>> they are related by a Fourier transform is that the action
*

*>> of a wave in the Hamilton-Jacobi form of classical mechanics
*

*>> has the products of the conjugate variables in the exponent.
*

*>> See Goldstein, section 10-8.
*

*>> ...
*

*>> Brent Meeker
*

*>> "Pluralitas non sunt ponenda sine necessitate"
*

*>> --- William of Ockham
*

*> But that just begs the question of why classical dynamics is
*

*> 2nd order (or iow why Newtons 2nd law). Vic Stengar seems to
*

*> have an answer to this.
*

Vic's working on a book, tentatively called "Why There is

Something Rather Than Nothing" in which he shows that all

fundamental physics, i.e. QM, GR, and the Standard Model, can

be derived from gauge+broken symmetry. From that standpoint

physics is described by 2nd order PDE's because the two

symmetries we observe are space-time translation and

space-time rotation (i.e. Lorentz boosts). Vic argues that

these are inherent symmetries of the void, but as to why there

aren't other symmetries I think must be left to empirical

determination.

I do urge you to join Vic's avoid-l mailing list. I'm sure he

would appreciate your well informed comments.

Brent Meeker

Ms Schroedinger: What did you do to that poor cat? It looks

half dead.

Erwin: I don't know. Ask Wigner's friend.

Received on Tue Sep 10 2002 - 23:08:57 PDT

Date: Tue, 10 Sep 2002 22:56:41 -0700

On 10-Sep-02, Russell Standish wrote:

Vic's working on a book, tentatively called "Why There is

Something Rather Than Nothing" in which he shows that all

fundamental physics, i.e. QM, GR, and the Standard Model, can

be derived from gauge+broken symmetry. From that standpoint

physics is described by 2nd order PDE's because the two

symmetries we observe are space-time translation and

space-time rotation (i.e. Lorentz boosts). Vic argues that

these are inherent symmetries of the void, but as to why there

aren't other symmetries I think must be left to empirical

determination.

I do urge you to join Vic's avoid-l mailing list. I'm sure he

would appreciate your well informed comments.

Brent Meeker

Ms Schroedinger: What did you do to that poor cat? It looks

half dead.

Erwin: I don't know. Ask Wigner's friend.

Received on Tue Sep 10 2002 - 23:08:57 PDT

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