SAIM Framework: Predictive Executive Report - Extreme Regime (K=1, Theta=3.1, Slow Quench)

This document is an automated Executive Report generated by the SAIM Thermodynamic Dashboard. It investigates the extreme non-equilibrium regime of maximum historical memory (K=1) and slow quenching (tau_q=5), providing a theoretical explanation for the "slowdowns" recently observed in 256-qubit quantum processors (e.g., Pasqal). Key Physical Findings:1. Explosive Critical Slowing Down: The Quantum Slowdown Exponent (alpha_Q) skyrockets to 10.8703. A slow quench allows the system to accumulate maximum historical memory, drastically increasing the relaxation time near the critical point. This mathematically explains why classical (Markovian) methods fail to capture the slowdown in quantum simulations.2. Thermal Retardation: The Thermal Diffusivity Index drops to 0.7311, confirming that strong memory impedes instantaneous heat propagation.3. Complete Euler Phase Interference: Tuning the topological phase near Pi (Theta = 3.1 rad) results in total destructive interference, completely canceling the convective thermal wave (flat cyan line).4. High Radiation Emission: With N_f=1, vacuum energy emission dominates at large spatial/temporal domains. This report demonstrates the framework's capability to model extreme, non-Markovian thermodynamic states with 100% scientific reproducibility.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24059533
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
preprint
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preprint

SAIM Framework: Predictive Executive Report - Extreme Regime (K=1, Theta=3.1, Slow Quench)

MOHAMMED TAHAR SAIM
7 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
preprint

SAIM Framework: Predictive Executive Report - Extreme Regime (K=1, Theta=3.1, Slow Quench)

MOHAMMED TAHAR SAIM
preprint en

Abstract

This document is an automated Executive Report generated by the SAIM Thermodynamic Dashboard. It investigates the extreme non-equilibrium regime of maximum historical memory (K=1) and slow quenching (tau_q=5), providing a theoretical explanation for the "slowdowns" recently observed in 256-qubit quantum processors (e.g., Pasqal). Key Physical Findings:1. Explosive Critical Slowing Down: The Quantum Slowdown Exponent (alpha_Q) skyrockets to 10.8703. A slow quench allows the system to accumulate maximum historical memory, drastically increasing the relaxation time near the critical point. This mathematically explains why classical (Markovian) methods fail to capture the slowdown in quantum simulations.2. Thermal Retardation: The Thermal Diffusivity Index drops to 0.7311, confirming that strong memory impedes instantaneous heat propagation.3. Complete Euler Phase Interference: Tuning the topological phase near Pi (Theta = 3.1 rad) results in total destructive interference, completely canceling the convective thermal wave (flat cyan line).4. High Radiation Emission: With N_f=1, vacuum energy emission dominates at large spatial/temporal domains. This report demonstrates the framework's capability to model extreme, non-Markovian thermodynamic states with 100% scientific reproducibility.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
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SAIM Framework: Predictive Executive Report - Extreme Regime (K=1, Theta=3.1, Slow Quench) — MOHAMMED TAHAR SAIM · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS