EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY A UNIFIED MATHEMATICAL FRAMEWORK FOR QUANTIFYING AND ENGINEERING POST-STRESS GROWTH IN COMPLEX SYSTEMS
Identification
- Clé publique
- radar:r-4a6b6cda6af215a4925bbd32a0b1912d
- Auteurs
- mohamed kamal arafa el-rakhawi
- Année déclarée
- 2026
- Langue déclarée
- en
- Type source
- book
- Première détection
- 2026-11-13T12:41:17.555597+00:00
- Dernière observation des métadonnées
- 2026-11-13T12:41:17.555597+00:00
- Dernière vérification HTTP
- Non effectuée
Résumé documentaire — langue originale
EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY: SUMMARY This monograph transforms antifragility from philosophical concept to rigorous engineering discipline through the El-Rakhawi Adaptive Resilience Equation (EARE): dΩ/dt = -γΩ + (η·κ)·Φ(σ,t)·(dI/dt) subject to dS_int/dt ≤ P_diss/T Where Ω=adaptive capacity, σ=stress magnitude, Φ=hormetic threshold function, dI/dt=information acquisition rate, κ=dimensional conversion constant [Ω/bits], and the thermodynamic constraint ensures compliance with the second law. Five critical corrections implemented:(1) Dimensional consistency via explicit conversion constant κ linking information to material capacity(2) Thermodynamic constraint (not subtracted term) reflecting Prigogine's dissipative structures(3) Rigorous Lyapunov proof distinguishing local asymptotic stability from global boundedness conditions(4) Empirical calibration using real experimental data from Madry et al. (2018) adversarial training: γ=0.023±0.004, η·κ=0.78±0.12, σ_opt=0.032±0.005, R²=0.94(5) Computer-implemented patent claims protecting technical implementation per Alice Corp. precedent Cross-domain applications validated: neural network robustness, immune adaptation, economic creative destruction, self-healing concrete, financial stress testing, education systems, coral reef collapse prediction. Economic impact: $2-5 trillion annual value creation potential through antifragile system design. Ironclad IP protection: 6 computer-implemented method patents under Berne Convention, PCT, TRIPS. ALL RIGHTS RESERVED - NO OPEN ACCESS. Author: Dr. Mohamed Kamal Arafa El-RakhawiDOI: 10.5281/zenodo.23323703License: All rights reserved
Identifiants
- OPENALEX
- https://openalex.org/W7221527868
- DOI
- 10.5281/zenodo.23323702
Repères documentaires
- Famille documentaire
- Livre
- Types déclarés par les sources
- book
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Description bibliographique du livre
- Date de publication déclarée
- 2026-10-12
Disponibilité non établie
Sources
OpenAlex · Document 1
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mohamed kamal arafa el-rakhawi. EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY A UNIFIED MATHEMATICAL FRAMEWORK FOR QUANTIFYING AND ENGINEERING POST-STRESS GROWTH IN COMPLEX SYSTEMS. 2026. https://doi.org/10.5281/zenodo.23323702
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- APA
- mohamed kamal arafa el-rakhawi. (2026). EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY A UNIFIED MATHEMATICAL FRAMEWORK FOR QUANTIFYING AND ENGINEERING POST-STRESS GROWTH IN COMPLEX SYSTEMS. https://doi.org/10.5281/zenodo.23323702
- Chicago
- mohamed kamal arafa el-rakhawi. EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY A UNIFIED MATHEMATICAL FRAMEWORK FOR QUANTIFYING AND ENGINEERING POST-STRESS GROWTH IN COMPLEX SYSTEMS. 2026. https://doi.org/10.5281/zenodo.23323702
- ISO 690
- mohamed kamal arafa el-rakhawi. EL-RAKHAWI DOCTRINE OF ADAPTIVE RESILIENCE AND SYSTEMIC ANTIFRAGILITY A UNIFIED MATHEMATICAL FRAMEWORK FOR QUANTIFYING AND ENGINEERING POST-STRESS GROWTH IN COMPLEX SYSTEMS. 2026. https://doi.org/10.5281/zenodo.23323702
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