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March 4, 20260 citationsOpen Access

Unified Theory of Algebraic Structure, Quantum Information, and Analytic Holomorphy

The Three Bridges of Coherence: A Unified Theory Connecting Algebraic Structure, Quantum Information, and Analytic Holomorphy

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Authors

JZJaime Quilez Zamora

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Overview

A framework connects algebra, quantum concepts, and analytic properties, suggesting deep coherence among them.

Key Points

  • The research aims to establish a unified framework connecting algebraic structure, quantum information, and analytic holomorphy.
  • Developed a numerical framework for connecting the three concepts.
  • Computed discriminant and regulator for quadratic fields using pure Python.
  • Simulated the L-function friction for trivial representation.
  • Confirmed that the informational friction of a number field corresponds to its discriminant.
  • Found that the regulator controls the unit group and entropy effectively.
  • Showed consistency of L-function friction with the Bekenstein bound.
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Cite This Study

Jaime Quilez Zamora (2026) studied this question.

synapsesocial.com/papers/69a7cd3dd48f933b5eed9674https://doi.org/10.5281/zenodo.18840119
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Mathematics of Coherence ($\mathcal{M}_{\text{COH}}$): Foundations for Axiomatic Unification via the Universal Operator $k = 5.76$2026
  2. 2The Mathematics of Coherence ($\mathcal{M}_{\text{COH}}$): Foundations for Axiomatic Unification via the Universal Operator $k = 5.76$2026
  3. 3The Coherence Imperative: A Complete Proof of the Riemann Hypothesis via Spectral-Algebraic Unification and the Physics of Efficiency2026
  4. 4The Unified Coherence Protocol: A Complete Framework for Consciousness, Freedom, and Quantum Coherence2026
  5. 5The Coherence Field: A Generative Model for Coherence-Driven Physical Law2025