Soul Surfer,

My reading and research has shown that single particle entropy is a serious topic in physics and science

I include a few articles (with links) that I have read on the Internet Don't jump on me I make no claim in understanding them , maybe you do and can enlighten me!!

Alan

http://cat.inist.fr/?aModele=afficheN&cpsidt=13992775Titre du document / Document title

Single-particle entropy in (1+2)-body random matrix ensembles

Auteur(s) / Author(s)

KOTA V. K. B. ; SAHU R. ;

Résumé / Abstract

Random matrix ensembles defined by a mean-field one-body plus a chaos generating random two-body interaction (called embedded Gaussian orthogonal ensembles of (1 + 2)-body interactions[EGOE(I 1+2)]) predict for the entropy defined by the occupation numbers of single-particle states, in the chaotic domain, an essentially one parameter Gaussian form for their energy dependence. Numerical embedded ensemble calculations are compared with the theory.

In addition, it is shown that the single-particle entropy, thermodynamic entropy defined by the state density and information entropy defined by wave functions in the mean-field basis for EGOE(1 + 2) describe the results known for interacting Fermi systems such as those obtained from nuclear shell model

The thermal motion of single particles represents the largest contribution to level density (or entropy) in atomic nuclei. The concept of single particle entropy is presented and shown to be an approximate extensive (additive) quantity for mid-shell nuclei. A few applications of single particle entropy are demonstrated. ©2006 American Institute of Physics

http://www.physicsforums.com/archive/index.php/t-13614.htmlQuestion?

Is there any study of how much entropy exists in a particle? For example, is there any connection between the quantum states of a string and the entropy/information in the string state? If a string state were perfectly symmetrical, then there would be less information in that state than if the string changed value along its length. So it seems that higher excited string states correspond to more information, etc.

Or is there any connection between entropy/information and the probability amplitudes of the alternate paths of the Feynman path integrals? Where does entropy start to enter the quantum picture of things?

Thanks

.

Firstly an individual particle does not have Entropy! Its Entropy value has been transfered from the moment of its (particle) creation.

The Entropy function for a collection of particulates follows along with the Arrow of Time, which is a dimensional 'fixing' around a Blackhole, which tend Particles to be Dimensionally bound into Space-Time Galaxies.

A good approximation for Dimensional Entropy is to see that a 2-Dimensional field surrounding a Particle is part of a different Entropy than the 'inner' Particle itself, the energies associated tend to be 'Opposite' rather than 'Like'.

If you trace a Particle back to its moment of creation then you would not reverse its 'Entropy' value until you have Annihilation, then as to be expected the E=MC2 exchange rate induce's Field> Particle> transformations. A particle approaching a Black Hole for instance, will downgrade itself from a 3-Dimensional Matter Energy, to a 2-Dimensional Field Energy, which can be reflected back out away, outside, and far from the Galaxy where the Blackhole resides.

This Energy holds the Galaxy and its contents into a Spacetime 'Bubble'. Galaxies (3D+T) are emmersed within a 2-Dimensional field(1+1), just as the Bose-Einstein-Condensate acts as one 'big-atom' by its reduced Thermal value within another thermal value by the experimental setup (normal 'hot' atoms cooled to super-condensed states, surrounded by a 'steady' state of the chamber/Lab). The reduction of thermal state imposed upon BEC atomic set-up, throws a shroud around the collection of atoms, and 'Gravity' signals are dimensionally reversed, structure starts to climb out of vessels, Magnetic levitation becomes apparent as the Meisner Effect.

One can state that the process isolates the BEC in another 'Spacetime', a sort of 2-Dimensional matter(arrow-time), suspended within a 3-Dimensional fixed (entropy) Space here on Earth.

The string entropy Value relates to World-Lines, emmbedded into World-sheets, there lay the problems within string theory, their treatment of Dimensional bounds are incompatable with reality, space and spacetimes are quite distinct!..direction and Entropy Arrow of Time Conservation only exists in 3+2 dimensions BOUND TO A SINGLE 1-D Entropy System.

Soul Surfer

This is this persons take, but is it correct?

Alan