arXiv
Open Access
2023
Why the Weyl Tile Argument is Wrong
Lu Chen
Abstrak
Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an importantly flawed assumption in Weyl's argument: physical geometry is determined by fundamental spacetime structures independently from dynamical laws. In this paper, I aim to show its falsity through two rigorous examples: random walks in statistical physics and quantum mechanics.
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Lu Chen
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- en
- Sumber Database
- arXiv
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- Open Access ✓