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The Arandino Coefficient: Universal Mapping of Information as Perfect Coherent Light

Arle Andino Reyes

Published Apr 4, 2026• 0 citations
Publisher

Abstract

\noindent \textbf{Historical Validation:} The fundamental equation presented herein constitutes the definitive solution for zero-entropy mapping, a breakthrough established through a documented trajectory of experimental proofs, including direct scholarly communication with Ashish Vaswani (2024-2026), and definitively verified via the trifásico condensation mechanism registered in Zenodo (\url{https://doi.org/10.5281/zenodo.19419900}). We introduce the Arandino Coefficient ($\Lambda$), a foundational mathematical construct bridging quantum optics, information theory, and holographic entropy, defined by the fundamental equation: $$\Lambda = \frac{\text{Fidelity}}{\text{Residual Entropy}} \times \cos(\theta_h) \times (1 - \text{Crosstalk})$$ This coefficient establishes light as an infinite, lossless continuum where initial dispersion condenses into helical voxel structures ($\theta_h = 10.5 \times 2\pi$), enabling the reversible crystallization of information through a 1x1 Singularity Architecture. Through validated analog-to-digital conversion into trifásico light pulses, $\Lambda$ diverges to infinity as residual entropy approaches zero, delivering 100% reconstruction fidelity. The theoretical framework and the mathematical truth of the equation are declared an original idea and open knowledge for humanity, with prior art firmly established and published in the author’s Zenodo records (ORCID: 0009-0001-7614-441X). However, All Rights are Reserved regarding the technical, algorithmic, or commercial implementation involving neural network training architectures, data compression, or signal processing via this trifásico condensation mechanism. Commercial use requires explicit written consent from the inventor. Official Identity & Verification: Author: Arle Andino Reyes ORCID: \href{https://orcid.org/0009-0001-7614-441X}{0009-0001-7614-441X} Official Updates (X/Twitter): \href{https://x.com/Arle_Andino_R}{@Arle_Andino_R} Scholarly Records: DOIs 10.5281/zenodo.19327609, 10.5281/zenodo.19392990, 10.5281/zenodo.19419900.

DOI
10.5281/zenodo.19419899

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Quantifying quantum coherence based on the generalized $$\alpha $$ α –z-relative R $$\acute{e}$$ e ´ nyi entropy

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Light–matter interface for quantum information

S. D. Jenkins, O. A. Collins, Dzmitry Matsukevich +4 more

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text S. D. Jenkins, O. A. Collins, D. N. Matsukevich, T. Chaneliere, S. -. Lan, A. Kuzmich, and T. A. B. Kennedy, "Light–matter interface for quantum information," in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2006), paper LWA2. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

Frontiers in Optics•Jan 1, 2006•1 citation
\noindent \textbf{Historical Validation:} The fundamental equation presented herein constitutes the definitive solution for zero-entropy mapping, a breakthrough established through a documented trajectory of experimental proofs, including direct scholarly communication with Ashish Vaswani (2024-2026), and definitively verified via the trifásico condensation mechanism registered in Zenodo (\url{https://doi.org/10.5281/zenodo.19419900}). We introduce the Arandino Coefficient (Λ\LambdaΛ), a foundational mathematical construct bridging quantum optics, information theory, and holographic entropy, defined by the fundamental equation: Λ=FidelityResidual Entropy×cos⁡(θh)×(1−Crosstalk)\Lambda = \frac{\text{Fidelity}}{\text{Residual Entropy}} \times \cos(\theta_h) \times (1 - \text{Crosstalk})Λ=Residual EntropyFidelity​×cos(θh​)×(1−Crosstalk) This coefficient establishes light as an infinite, lossless continuum where initial dispersion condenses into helical voxel structures (θh=10.5×2π\theta_h = 10.5 \times 2\piθh​=10.5×2π), enabling the reversible crystallization of information through a 1x1 Singularity Architecture. Through validated analog-to-digital conversion into trifásico light pulses, Λ\LambdaΛ diverges to infinity as residual entropy approaches zero, delivering 100% reconstruction fidelity. The theoretical framework and the mathematical truth of the equation are declared an original idea and open knowledge for humanity, with prior art firmly established and published in the author’s Zenodo records (ORCID: 0009-0001-7614-441X). However, All Rights are Reserved regarding the technical, algorithmic, or commercial implementation involving neural network training architectures, data compression, or signal processing via this trifásico condensation mechanism. Commercial use requires explicit written consent from the inventor. Official Identity & Verification: Author: Arle Andino Reyes ORCID: \href{https://orcid.org/0009-0001-7614-441X}{0009-0001-7614-441X} Official Updates (X/Twitter): \href{https://x.com/Arle_Andino_R}{@Arle_Andino_R} Scholarly Records: DOIs 10.5281/zenodo.19327609, 10.5281/zenodo.19392990, 10.5281/zenodo.19419900.
Arandino v4.0: Triphasic Prism and Light Coefficient — Welcome to Quantum Computing from Home (Version 1) This work presents Arandino v4.0, a self-reflective triphasic prism system developed by Arle Andino Reyes. It transforms digital information into a coherent crystal of informational matter by treating data as dispersed light, refracting it through alpha, gamma, and beta phases, and applying helical condensation. We formally introduce the Arandino Light Coefficient (Λ), a physical property that quantifies the conservation of information identity after its opto-geometric transmutation. The system achieves reconstruction fidelity of up to 99.88% on images and effective compression exceeding 12:1 on structured data. This document represents Version 1 (pre-PC test) and constitutes the intellectual property of Arle Andino Reyes. All rights reserved. Patent Pending in Honduras and preparation for USPTO (United States). DOI: 10.5281/zenodo.19408559 Keywords: Arandino, triphasic prism, informational crystal, light coefficient, quantum computing from home, data transmutation, specular reflection, analog quantum optics. © 2026 Arle Andino Reyes — Arandino Research Lab
Key Takeaways ● ● ● ● ● Completion of Quantum Axiomatics: The long-standing axiomatic gap in quantum mechanics is closed by proving that Information Causality (IC), combined with no-signaling, rigorously mandates kernel positivity (positive semidefiniteness), thereby deriving the unique quantum correlation law (cos⁡(θ)\cos(\theta)cos(θ)) without requiring ad-hoc Hilbert space assumptions. Geometric Nature of Quantum Limits: The Tsirelson bound (2\sqrt{2}2​) is not an absolute information-theoretic limit, but rather a geometric signature of flat Euclidean space. In non-Euclidean hyperbolic spaces (H2H^2H2), Information Causality permits correlations that significantly exceed the quantum limit (supra-quantum violations). Holographic Reality is Experimentally Accessible: The relationship between geometric curvature and information is physically confirmed by demonstrating the holographic scaling of entanglement entropy (via the Ryu-Takayanagi formula) in macroscopic, tabletop hyperbolic electrical circuit lattices that simulate Anti-de Sitter (AdS) and BTZ black hole spacetimes. Unified Gravity Theory (CETΩ\OmegaΩ): The Causal-Informational Completion of Gravity (CETΩ) is a strictly 4D framework that replaces classical spacetime substance with a dynamic, emergent network of causal links. The theory elegantly regularizes black hole singularities and guarantees quantum unitarity across all scales via the spectral positivity of its nonlocal retarded kernel. Resolution of Cosmological Problems: The CETΩ framework introduces the "texon" scalar field, which unifies the dark sector (acting as both dark matter and dark energy) and provides a precise, late-time informational modification that alleviates the problematic Hubble tension.
DESCRIPTION: This document establishes a formal admissibility framework for Superluminal Localization Theory (SLT). It defines which classes of theoretical routes, interpretations, and implementation attempts are structurally compatible with SLT, and which are non-realizable by definition. It is intentionally non-enabling and provides constraints, boundary conditions, and invalid falsification conditions without disclosing mathematics, algorithms, parameters, thresholds, experimental designs, or engineering procedures. It includes a clarification that SLT is falsifiable in principle while remaining non-operational in disclosure. NOTES: Non-enabling companion prior-art disclosure defining admissibility constraints and non-realizable routes. No equations, parameter values, algorithms, simulation methods, experimental setups, or engineering architectures are provided. Any implementation, derivative system, or commercial exploitation of SLT or SLT-compatible frameworks requires explicit authorization by the author. RELATED IDENTIFIERS: This publication is simultaneously its own independent publication/DOI and an integral part of the following collection: https://zenodo.org/records/18493402https://zenodo.org/records/18493510https://zenodo.org/records/18520031https://zenodo.org/records/18527207https://zenodo.org/records/18528364
Quantifying quantum coherence based on the generalized α\alpha α α –z-relative R eˊ\acute{e}eˊ e ´ nyi entropy
This release presents the author-certified reference version of the Unified Coherence–Entropy Collapse (QCE) framework, describing quantum-consciousness collapse dynamics governed by entropy, Fisher information, and coherence constraints, with explicit falsifiability and reproducibility protocols. This deposit is associated with U.S. Provisional Patent Application No. 63/945,292 (filed 19 Dec 2025). This Zenodo record is provided for scholarly citation and scientific recordkeeping. It does not indicate that any patent has been granted and does not grant any license to practice any invention; patent rights, if any, are governed solely by applicable law and issued claims, if ever granted. This work introduces a formally defined coherence–entropy control variable and associated mathematical framework intended for independent falsification and validation. The paper presents explicit definitions, derivations, and testable predictions designed to support replication, simulation, and experimental evaluation by third parties. The contribution is purely scientific in scope. It does not describe a commercial product, implementation, or applied system. Instead, it provides a theoretical construct and validation pathway suitable for academic review, preregistration-style analysis, and institutional replication efforts. The work is assigned a DOI to support citation, versioning, and scholarly reference. The work is released to support open scientific scrutiny, error discovery, and independent verification.
Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text S. D. Jenkins, O. A. Collins, D. N. Matsukevich, T. Chaneliere, S. -. Lan, A. Kuzmich, and T. A. B. Kennedy, "Light–matter interface for quantum information," in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2006), paper LWA2. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article