Space, Time, and Simultaneity: A Minkowski Perspective
Persistent URL
Author(s)
Reynolds, Matthew
Date Issued
April 29, 2025
Abstract
The concept of Minkowski spacetime evolved our understanding of space and time. The following study explores the mathematical structure of special relativity, demonstrating how Lorentz transformations preserve spacetime intervals and ensure the invariance of the speed of light across all inertial frames. Key principles and phenomena such as time dilation and length contraction are viewed through both algebraic and geometric lenses. To supplement understanding, the twin paradox and barn and pole paradox are analyzed, demonstrating how contradictions are resolved via Minkowski spacetime. Through mathematical arguments, this study aims to provide foundational understanding of relavistic motion and is implications for modern physics.
Major
Mathematics
First Reader(s)
Carswell, Brent
Other Reader(s)
Werner, Caryn
Department
Mathematics
Type of Publication
Senior Project Paper
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Name
Matthew Reynolds Senior Project Final.pdf
Size
463.81 KB
Format
Adobe PDF
Checksum (MD5)
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