A Timeless Game: A Game-Theoretic Model of Mass-Geometry Relations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915502344896512 |
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| author | Ghadimi, Milad |
| author_facet | Ghadimi, Milad |
| contents | We develop a minimal, timeless game-theoretic representation of the mass-geometry relation. An "Object" (mass) and "Space" (geometry) choose strategies in a static normal-form game; utilities encode stability as mutual consistency rather than dynamical payoffs. In a 2x2 toy model, the equilibria correspond to "light-flat" and "heavy-curved" configurations; a continuous variant clarifies when only trivial interior equilibria appear versus a continuum along a matching ray. Philosophically, the point is representational: a global description may be static while the experience of temporal flow for embedded observers arises from informational asymmetry, coarse-graining, and records. The framework separates time as parameter from relational constraint without committing to specific physical dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_15229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Timeless Game: A Game-Theoretic Model of Mass-Geometry Relations Ghadimi, Milad Physics and Society History and Philosophy of Physics We develop a minimal, timeless game-theoretic representation of the mass-geometry relation. An "Object" (mass) and "Space" (geometry) choose strategies in a static normal-form game; utilities encode stability as mutual consistency rather than dynamical payoffs. In a 2x2 toy model, the equilibria correspond to "light-flat" and "heavy-curved" configurations; a continuous variant clarifies when only trivial interior equilibria appear versus a continuum along a matching ray. Philosophically, the point is representational: a global description may be static while the experience of temporal flow for embedded observers arises from informational asymmetry, coarse-graining, and records. The framework separates time as parameter from relational constraint without committing to specific physical dynamics. |
| title | A Timeless Game: A Game-Theoretic Model of Mass-Geometry Relations |
| topic | Physics and Society History and Philosophy of Physics |
| url | https://arxiv.org/abs/2509.15229 |