Causality, Uncertainty Principle, and Quantum Spacetime Manifold in Planck Scale

TL;DR

This paper addresses ambiguities in causal set theory at Planck scale by redefining causal relationships, incorporating superposition to cover uncertainty, and advocating for quantum spacetime manifolds over classical kinematics.

Contribution

It introduces a new causal relationship definition, applies superposition to model interactions, and argues for quantum spacetime manifolds in Planck scale physics.

Findings

Redefinition of causal relationships between events.

Superposition principle applied to cover uncertainty.

Quantum spacetime manifold replaces classical kinematics.

Abstract

In causal set theory, there are three ambiguous concepts that this article tries to provide a solution to resolve these ambiguities. These three ambiguities in Planck's scale are: the causal relationship between events, the position of the uncertainty principle, and the kinematic. Assuming the interaction between events, a new definition of the causal relationship is presented. Using the principle of superposition, more than one world line are attributed to two events that are interacting with each other to cover the uncertainty principle. Using these achievements, it is shown that kinematics has no place in the Planck dimension and that quantum spacetime manifold should be used instead.