Information channel capacity in the field theory estimation

TL;DR

This paper develops a framework for calculating the information capacity of vector position parameters in Minkowski space-time, linking it to the foundational aspects of field theory Lagrangians via the extremal physical information method.

Contribution

It introduces a method to construct the information capacity in Minkowski space-time, connecting statistical information theory with the kinematical terms of field theory Lagrangians.

Findings

Provides a statistical foundation for the kinematical term of the physical action.

Links information capacity to the structure of field theory models.

Utilizes the extremal physical information method for derivations.

Abstract

The construction of the information capacity for the vector position parameter in the Minkowskian space-time is presented. This lays the statistical foundations of the kinematical term of the Lagrangian of the physical action for many field theory models, derived by the extremal physical information method of Frieden and Soffer.