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February 13, 2026Open Access

Formalizing Freedom: Toward a Mathematical Principle of Maximal Freedom for Temporal Rate Ontology

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Authors

GKGeorgios Kouvidis

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Overview

Mathematical formalization reveals how freedom principles govern temporal structures, implying new dynamics in physical reality.

Key Points

  • This research aims to formally define the Principle of Maximal Freedom within Temporal Rate Ontology.
  • Introduced succession networks modeled as directed acyclic graphs.
  • Defined candidate freedom functionals measuring global structural capacity for branching.
  • Analyzed axiomatic requirements of these functionals under global consistency constraints.
  • Used horizon-limited extremization, probabilistic selection, and fixed-point consistency to address self-reference.
  • Developed a systematic formalization of the Principle of Maximal Freedom.
  • Presented a minimal example showcasing calculability of the proposed principles.
  • Established a foundational framework for future research on dynamics arising from pre-geometric structures.

Cite This Study

Georgios Kouvidis (2026) studied this question.

synapsesocial.com/papers/698ebf6985a1ff6a93016dd9https://doi.org/10.5281/zenodo.18605769
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