Planck Scale Physics, Pregeometry and the Notion of Time

TL;DR

This paper explores how space-time and causality might emerge from a fundamental pregeometric framework at the Planck scale, using Sheaf Cohomology to introduce a generalized concept of time.

Contribution

It proposes a novel approach to understanding the emergence of space-time from pregeometry using Sheaf Cohomology and introduces the concept of generalized time at the Planck scale.

Findings

Space-time may not be valid beyond the Planck scale.

Generalized time concept emerges around and above the Planck scale.

Implications for physics and metaphysics are discussed.

Abstract

Recent progress in quantum gravity and string theory has raised interest among scientists to whether or not nature behaves discretely at the Planck scale. There are two attitudes twoards this discretenes i.e. top-down and bottom-up approach. We have followed up the bottom-up approach. Here we have tried to describe how macroscopic space-time or its underlying mesoscopic substratum emerges from a more fundamental concept. The very concept of space-time, causality may not be valid beyond Planck scale. We have introduced the concept of generalised time within the framework of Sheaf Cohomology where the physical time emrges around and above Planck scale. The possible physical amd metaphysical implications are discussed.