The Generalized Classical Time-Space

TL;DR

This paper introduces a novel space-time model combining Lorentzian and sub-Riemannian geometries, proposing a generalized connection with advantageous properties for applications in theoretical physics.

Contribution

It presents a new integrated geometric framework and defines a generalized connection, advancing the mathematical tools for modeling space-time.

Findings

Proposes a combined Lorentzian and sub-Riemannian geometric model.

Introduces the concept of a generalized connection in this context.

Establishes properties and potential advantages of the new connection.

Abstract

The newest model for space-time is based on sub-Riemannian geometry. In this paper, we use a combination of Lorentzian and sub-Riemannian geometry, the suggest a new model which likes to its ancestors, but with the most efficient in application. In continuation, we try to show a new connection which calls generalized connection, and prove some its properties.