Caratheodory, Finite Resources and the Geometry of Arbitrage

Fuente: arXiv
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Autor principal: Meister, B. K.
Formato: Preprint
Publicado: 2026
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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