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Differentiation of Fundamental Metrics in the Percudani Model: Analysis of Constructive RMS, Instability Limit, and Thermal Noise in UAT/UCP
2026-07-15

TECHNICAL CLARIFICATION NOTE — ZENODO DEPOSIT Author: Miguel Ángel Percudani ORCID: 0009-0007-1748-3212 ═══════════════════════════════════════════════════════════════ ABSTRACT ═══════════════════════════════════════════════════════════════ This document establishes the strict differentiation between three fundamental values developed for the Universal Applicable Time (UAT) theory and the Unified Causal Principle (UCP). These three quantities, though numerically related through the UAT/UCP architecture, serve entirely distinct roles and must not be conflated: 1. RMS ≈ 0.7071 (INTERFERENCE) A structural result of 8-phase rotational constructive interference. This value describes the information density arising from the phase topology (8 fronts at 45° steps) and saturates the signal buffers. It is an OUTPUT of the system's geometry, not a fundamental constant. 2. κ_crit = 4.978 (CAUSALITY) The Ivancho Limit, an intrinsic causal constant of the UCP. It acts as the maximum instability threshold governing the tension that precedes Thermodynamic Overdrive. When the UPC Instability Ratio (κ/k) exceeds 4.5, the system enters the overdrive regime. It is a FUNDAMENTAL CONSTANT, not an adjustable parameter. 3. 7% THERMAL MARGIN (OBSERVATION) An empirical tolerance parameter that bridges the purely mathematical framework with observed physical reality. It absorbs thermal fluctuations and environmental noise. It is the SINGLE FREE PARAMETER of the framework, constrained by the existence of cosmic structures (0% = sterile universe, >20% = runaway acceleration). This conceptual clarity is essential for the internal consistency of the UAT/UCP framework and prevents misinterpretation of the distinct roles played by each quantity in the theory's architecture. ═══════════════════════════════════════════════════════════════ REFERENCES ═══════════════════════════════════════════════════════════════ UAT Framework: DOI: 10.5281/zenodo.17729221 UCP Constant κ_crit: DOI: 10.5281/zenodo.18210808 7% Thermal Calibration Margin: DOI: 10.5281/zenodo.21211964 ═══════════════════════════════════════════════════════════════ KEYWORDS ═══════════════════════════════════════════════════════════════ constructive interference, phase topology, information density, RMS saturation, Ivancho limit, causal coherence, thermodynamic overdrive, quantum brake, thermal calibration margin, signal buffer saturation, Unified Applicable Time, UAT framework, Unified Causal Principle, UCP, fundamental constants, metric differentiation ═══════════════════════════════════════════════════════════════ LICENSE ═══════════════════════════════════════════════════════════════ Creative Commons Attribution 4.0 International (CC BY 4.0)

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Percudani M. A. 2026. Differentiation of Fundamental Metrics in the Percudani Model: Analysis of Constructive RMS, Instability Limit, and Thermal Noise in UAT/UCP. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115891

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