I want to know the applications of Riemann zeta function in analysis of elementary particles and other high energy physics phenomenon.
One application of the insights that the study of the properties of the Riemann zeta function has spawned is the technique of ``zeta function regularization'' and a review may be found here: http://library.msri.org/books/Book57/files/20kirsten.pdf .
PLEASE CAN YOU PROVIDE ME A BASIC INTRODUCTION TO THE E-INFINITY THEORY AND HOW COMPARATIVELY IT IS BETTER THAN THE RIEMANN ZETA FUNCTION FOR ANALYZING CASIMIR ENERGY
In natural field theory Lagrangian of a system can be written in terms of Riemann zeta- function. And the appropriate quantization of the function RZ function in KG equation can be related to the mass of the elementary particles. Thus by appropriate mathematical formulation one can apply Riemann Zeta-function for analysis of elementary particles.
@Nikolay Raychev Please provide me some detailed papers regarding the evaluation of bosonic and fermionic particle distributions in statistical mechanics through zeta function.
@Md. Abdul Khan Can you please provide me examples of determining the Lagrangian of a system written in terms of zeta function. If there is any paper which can help me to review the application of Riemann zeta function for analysis of elementary particle, please provide me with that.
Dear Suraj,
I appreciated your effort trying to give a physical meaning to the Riemann hypothesis, but frankly it appears completely unfounded !
There is nothing that can dynamically support your interpretation. Furthermore, the 'spiral structure for elementary particles' that you suggest is naively supported only from a classical point of view that aims consider spin as a property of particles seen as micro-spinning-tops. This is an old point of view that usually one adopts in a first quantization of classical models ... but in High Energy Physics one cannot continue to work with such a semiclassical apparatus !
Dear Agostino,
I would request you to kindly advise and guide me with relevant materials in the topic of these papers for further study.
Dear Agostino,
I would request you to kindly advise and guide me with relevant materials in the topic of these papers for further study.
Dear Suraj,
I could suggest you to look to my quantum gravity theory and in particular to the following my work in three parts:
I-II) http://arxiv.org/abs/1205.2894; III) http://arxiv.org/abs/1206.4856.
However I must advise you that the mathematics introduced therein is a completely new geometric theory for quantum (super) partial differential equations that requires a solid background in algebraic topology ...
My best wishes,
Agostino
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