Re: Path integrals and statistical mechanics

From: George Levy <glevy.domain.name.hidden>
Date: Mon, 23 Jun 2003 10:17:39 -0700

Hi Doriano,

Welcome to the list.

You raise an interesting problem and. I don't know the answer to your
question. However, I just want to point out that an observer in relative
motion observes the rotation in the complex plane of space-time
geodesics. Could there be a connection between quantum and relativistic
rotations?

George

Doriano Brogioli wrote:

> Hi to everybody. I subscribed to this mailing list yesterday, but I'd
> like to pose a question since I think it _must_ be the right place.
>
> Quantum mechanics can be formulated in terms of path integrals
> (Feinmann integrals). By substituting the time t with an (Euclidean)
> immaginary time i s, that is, a real value s times the imaginary root
> mean square of -1, the path integral changes to the Boltzmann
> distribution, where the energy is the (classical) energy of a
> continuum (classical) mechanical system, at temperature 1/h.
>
> From this fact, someone claims that quantum world is simply a
> classical world, but rotated by pi/2 in the complex plane of t: the
> real world is classical, but we see it at the wrong angle. In
> particular, something similar happens near the event horizon of a
> black hole, and it should be the ultimate origin of Hawking radiation.
>
> I tried to derive this relation, or some kind of this, and I concluded
> that it holds only at a formal level. Has anyone any idea about this
> topic?
>
> Doriano Brogioli
>
>
Received on Mon Jun 23 2003 - 13:18:29 PDT