Research Thesis
A Computational Investigation of Closed Timelike Curves and Embedded Geometry in General Relativity
Yuvan Raam Chandra · 2026
Abstract
This thesis computationally explores the causality and geometric properties of spacetimes containing Closed Timelike Curves (CTCs). It uses a metric-driven workflow to study examples such as the Gödel metric, Van Stockum dust, and wormhole spacetimes, with emphasis on careful conventions, reproducible checks, and cautious interpretation of chronology protection questions.
Key Contributions
- Structured computational study of chronology horizons in selected exact solutions in GR.
- Documentation of a reproducible metric-to-tensor workflow for future verified artifacts.
- Use of known Gödel threshold behavior as a validation benchmark rather than a novelty claim.
- Visualization of causal features as interpretation aids, not as proofs of global causal structure.
Research Focus Areas
- Closed timelike curves
- Chronology protection
- Computational GR workflows
- Metric-driven geometry
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