The wave function of the modified space time manifold

TL;DR

This paper explores a modified spacetime manifold with four commutative coordinates, maintaining Poincaré symmetry but differing from standard Minkowski spacetime, aiming to understand alternative geometric structures in physics.

Contribution

It introduces a new class of spacetime manifolds with Poincaré symmetry that are distinct from traditional Minkowski space, expanding the geometric framework of modern physics.

Findings

Proposes a modified spacetime manifold with unique geometric properties.

Maintains Poincaré symmetry in the new manifold.

Provides a basis for further theoretical exploration of alternative spacetime models.

Abstract

In the present paper it is considered space time manifold with four commutative coordinates with Poinc\'are group of motion but different from Poinc\'are Minkowski space time of the modern physics.