Combinatorics and Graph Theory

    

Solution to the Ground State of the Spin Glass Model

Authors: Akira Saito

We present a method for determining the order parameters of the spin glass Ising model (a general Ising model) in its ground state. This solution is valid specifically for the ground state, revealing the final outcomes of interactions and providing a solution to combinatorial optimization problems. The solution is presented through differential equations related to the inverse temperature, which can be solved using Euler's method. If the tracing of states through inverse temperature allows for the determination of state variables in a practically finite time, it becomes relevant to the P=NP problem. Furthermore, the set of equations obtained is also shown to be equivalent to those used in Boltzmann machines.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2024-03-10 23:17:59

Unique-IP document downloads: 167 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus