Re: A new theory of Unification?
- From: markwh04@xxxxxxxxx
- Date: Sat, 28 May 2005 09:11:34 +0000 (UTC)
Rafael Aparicio wrote:
> Just adjoint an english translation of a chapter of my thesis, about
> what I think that's the problem about QM an RT, using Fluid Mechanics.
>
> http://usuarios.lycos.es/Rufianin/schrodingere.pdf
Pagina no encontrada.
>>From here, 1999 June 9:
Subject: Quantum Particles are Fluids.
THEOREM:
A particle satisfying the non-relativistic Schroedinger equation is
equivalently characterized as a fluid with the following properties
(1) It is irrotational
(2) It occupies all space
(3) It has finite total mass
(4) It satisfies the Continuity Equation
(5) It satisfies the Euler Equation
(6) It has a non-isotropic [stress tensor] satisfying the
Equation of State:
/ h-bar \ 2 / (del rho) (del rho) \
P = | ----- | | ------------------- - del^2 rho I |
\ 2m / \ rho /
where
P = the pressure dyad
m = the total mass of the fluid
rho = the mass density of the fluid
del = the vector gradient operator
Dyadic notation was used above with
I = the identity dyad
u v = the linear operator which maps vector w |-> u (v.w)
Similar analyses can be carried out on the Pauli-Schroedinger equation
(resulting in a rotational fluid), as well as on the various
relativistic equations (Klein-Gordon, Dirac-Kemmer) at the
semi-classical level.
Note: the foregoing is only valid for *one particle* states. The
"fluid" in general does NOT reside in ordinary space, but in
CONFIGURATION space, which is generally unrelated to ordinary space!
For two particles, the fluid lives in 6-dimensional space.
So, the equating of a quantum system with a fluid in ordinary space is
a midnomer in the general case.
.
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