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Full-Text Articles in Physical Sciences and Mathematics
Curved Spacetime In The Causal Set Approach To Quantum Gravity, Ayush Dhital
Curved Spacetime In The Causal Set Approach To Quantum Gravity, Ayush Dhital
Honors Theses
Causal Set theory is an approach to quantum gravity. In this approach, the spacetime continuum is assumed to be discrete rather than continuous. The discrete points in a causal set can be seen as a continuum spacetime if they can be embedded in a manifold such that the causal structure is preserved. In this regard, a manifold can be constructed by embedding a causal set preserving causal information between the neighboring points. In this thesis, some of the fundamental properties of causal sets are discussed and the curvature and dimension information of Minkowski, de Sitter, and Anti-de Sitter spaces is …
Exploring Manifoldlike Causal Sets And Their Dimensions, Santosh Bhandari
Exploring Manifoldlike Causal Sets And Their Dimensions, Santosh Bhandari
Honors Theses
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 …
Manifoldlike Causal Sets, Miremad Aghili
Manifoldlike Causal Sets, Miremad Aghili
Electronic Theses and Dissertations
The content of this dissertation is written in a way to answer the important question of manifold likeness of causal sets. This problem has importance in the sense that in the continuum limit and in the case one finds a formalism for the sum over histories, the result requires to be embeddable in a manifold to be able to reproduce General Relativity. In what follows I will use the distribution of path length in a causal set to assign a measure for manifold likeness of causal sets to eliminate the dominance of nonmanifold like causal sets. The distribution of interval …