Tensorial origin of the action function, nexus between Quantum physics and General Relativity

TL;DR

This paper introduces a tensorial action function as a foundational concept linking quantum physics and general relativity, providing a new perspective on the action principle and particle wave functions.

Contribution

It proposes the existence of a tensorial action function, connecting quantum spinor components with classical action, bridging quantum and nonquantum physics.

Findings

Tensorial action justifies the action principle.

Connects quantum spinors with classical action.

Provides a unified framework for quantum and general relativity.

Abstract

The analytic physics, when it is development from aprioristic form, constructs all the laws from the Hamilton principle, also called action principle. According to this principle all systems are characterized by a magnitude called action which variation is equal to zero for the real evolution of the systems. At first, do not exist restrictions for the mathematical form of the action function, nonetheless, as in the a posteriori developer of the analytic physics, the traditional equations of the physics lead up to a scalar action, it is always sure that the action may be a scalar function. In this article we propose the existence of a tensorial function like origin of the traditional scalar action. First because it permits, without other argumens, to justify the own action principle and second because it permits connect the complementary principle of the Quantum physics with the analytic expressions of the nonquantum physics, including the General Relativity. We call tensorial action to this original function and their components are connecting, directly, with the tensorial (spinorial) componets of the wave function of the particles with spin higher than zero. For this reason we can understand why in the nonquantum physics only has significance a scalar action.