Crouse, David (2025) Relativistic Length and Space Contractions for Light-Speed Systems in Discrete Space-Time. [Preprint]
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Abstract
In this paper we argue that because photons experience change, such as coming into and going out of existence and interacting with other particles, that photons must experience time...we then calculate how much time photons experience. We start with a discussion of the philosophical position advocated by Aristotle and most philosophers: in the absence of time, no change, no interaction, no ``becoming'' is possible for an entity. We then review the laws of special relativity, first reviewing the conventional laws of relativity if both space and time are continuous, and then show how the laws change if both space and time are discretized (atomized, granular...). We show that if space and time are discretized, then the Lorentz factor describing length contraction and time dilation no longer diverge to infinity as the velocity of a system approaches and reaches the speed of light. In doing so, we derive equations that provide the finite Lorentz factors and time durations experienced by light-speed particles. We then discuss how these results significantly strengthen the case that space and time are discretized.
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| Item Type: | Preprint | ||||||
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| Keywords: | time;change;discrete space;discrete spacetime;relativity;light | ||||||
| Subjects: | General Issues > Laws of Nature Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | Dr. David Crouse | ||||||
| Date Deposited: | 15 May 2025 12:16 | ||||||
| Last Modified: | 15 May 2025 12:16 | ||||||
| Item ID: | 25308 | ||||||
| Subjects: | General Issues > Laws of Nature Specific Sciences > Physics > Relativity Theory |
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| Date: | 14 May 2025 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/25308 |
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