Exploring Manifoldlike Causal Sets and their Dimensions

Author

Santosh BhandariFollow

Date of Award

Spring 4-20-2021

Document Type

Undergraduate Thesis

Department

Physics and Astronomy

First Advisor

Luca Bombelli

Second Advisor

Benjamin Pilgrim

Third Advisor

Anuradha Gupta

Relational Format

Dissertation/Thesis

Abstract

Causal Set Theory is an approach to quantum gravity that tries to replace the continuum spacetime structure of general relativity with the spacetime that has the property of discreteness and causality. From the standpoint of causal set theory, our spacetime is made up of discrete points that are causally related to one another. A causal set is said to be manifoldlike if it can be faithfully embedded in a Lorentzian manifold. In this thesis, some of the fundamental properties of causal sets are discussed. The first chapter is devoted to the historical background of quantum gravity with a discussion of some important approaches in brief. The second chapter revolves around the history of causal set theory and its definition in detail. The third chapter deals with the computation of faithfully embedded causal sets in flat and curved spacetime and chain length distributions in flat spacetime in detail. In the fourth chapter, dimension is calculated using Modified Myrheim–Meyer dimension Estimator and Midpoint Scaling Dimensional Estimator.

Recommended Citation

Bhandari, Santosh, "Exploring Manifoldlike Causal Sets and their Dimensions" (2021). Honors Theses. 1907.
https://egrove.olemiss.edu/hon_thesis/1907

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