Caratheodory, Finite Resources and the Geometry of Arbitrage
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918343942864896 |
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| author | Meister, B. K. |
| author_facet | Meister, B. K. |
| contents | Caratheodory's axiom of adiabatic inaccessibility states that, in any neighborhood of a thermodynamic state, certain states remain unreachable via adiabatic processes. Non-arbitrage mirrors this topological restriction in finance. Preserving this constraint in resource-limited systems identifies the exponential family not as a modeling convenience but as the requisite geometric structure unifying both domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16539 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Caratheodory, Finite Resources and the Geometry of Arbitrage Meister, B. K. Portfolio Management Caratheodory's axiom of adiabatic inaccessibility states that, in any neighborhood of a thermodynamic state, certain states remain unreachable via adiabatic processes. Non-arbitrage mirrors this topological restriction in finance. Preserving this constraint in resource-limited systems identifies the exponential family not as a modeling convenience but as the requisite geometric structure unifying both domains. |
| title | Caratheodory, Finite Resources and the Geometry of Arbitrage |
| topic | Portfolio Management |
| url | https://arxiv.org/abs/2602.16539 |