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April 19, 2026Open Access

Gradient Without Time: A Constraint-First Reconstruction of Temporal Ordering

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Authors

AKAruna Reddy Katanguri

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Overview

Establishes a new framework for temporal ordering independent of time, suggesting a structural basis.

Key Points

  • The aim is to create a foundational understanding of ordering that does not rely on the concepts of time or causality.
  • Constructed the Local Monotonic Constraint Relation (LMCR) based on constraint structure and locality.
  • Defined admissibility explicitly within the framework.
  • Developed LMCR axiomatically as a constraint-monotonic relation.
  • Demonstrated that LMCR induces a directed acyclic partial order.
  • Established a structural relation for ordering that emerges from constraints rather than temporal assumptions.
  • Proved that time serves as a representation of an underlying constraint-based structure, not as a fundamental parameter.
  • Identified potential physical interpretations including thermodynamic, quantum, and geometric frameworks.

Cite This Study

Aruna Reddy Katanguri (2026) studied this question.

synapsesocial.com/papers/69e473bd010ef96374d8f8e2https://doi.org/10.5281/zenodo.19633199
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