Theoretical Foundations of Science: A Unified Framework Based on the Cosmic Law and Recursive Evolution
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2025
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| _version_ | 1866901789113057280 |
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| author | Chang, John |
| author_facet | Chang, John |
| contents | <p><span>This paper proposes a unified scientific framework based on the <strong>Cosmic Triplet Law</strong> (•, |, Ο), introducing a recursive structural equation:</span></p> <p><span> </span></p> <p><strong><span><span> </span>M(x) = f(M(x−1), M(x−2), ..., R) </span></strong></p> <p><span> </span></p> <p><span><span> </span></span><span>to model the evolution of natural, social, and intelligent systems.</span></p> <p><span><span> </span></span><span>Building upon a <strong>Nine-Level Theory of Structure</strong>, we derive nine discipline-level equations and compress them into three meta-level dynamics:</span></p> <p><span> </span></p> <p><span><span>1.<span> </span></span></span><span>A <strong>Structural Evolution Equation</strong> unifying mathematics, physics, and chemistry;</span></p> <p><span><span>2.<span> </span></span></span><span>A <strong>Social Dynamics Equation</strong> capturing political, economic, and behavioral systems;</span></p> <p><span><span>3.<span> </span></span></span><span>A <strong>Life Adaptation Equation</strong> describing gene–environment–complexity interaction.</span></p> <p><span><span> </span></span></p> <p><span><span> </span></span><span>These are further unified as a <strong>Universal Evolution Equation</strong>:</span></p> <p><span> </span></p> <p><span><span><span> </span><strong><span> </span>dM/dt = </strong></span></span><span></span><span><strong><span>⋅∇</span></strong></span><span><strong><span>M + </span></strong></span><span></span><span><strong><span>⋅</span></strong></span><span><strong><span>I(E,S,C) + </span></strong></span><span></span><span><strong><span>⋅</span></strong></span><span><strong><span>Q(x) </span></strong></span></p> <p><span><span> </span></span></p> <p><span><span> </span></span><span>This equation also represents the <strong>Intelligent Wave Equation</strong> <strong>□M</strong></span><strong><span> </span></strong><strong><span>=</span></strong><strong><span> </span></strong><strong><span>S(x)</span></strong><span>, proposed as the third fundamental wave — alongside gravitational and electromagnetic waves — governing the evolution of information and meaning across scales.</span></p> <p><span><span> </span>Our model bridges recursion, entropy, and feedback into a common evolution law, forming a closed-loop structure from cosmic origin to intelligent systems. It offers a mathematically compact, cross-disciplinary foundation for unifying science across physics, cognition, society, and life.</span></p> <p><span> </span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15478979 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Theoretical Foundations of Science: A Unified Framework Based on the Cosmic Law and Recursive Evolution Chang, John Cosmic Triplet Law Nine-Level Theory of Structure Universal Evolution Equation Intelligent Wave Equation Universal Law Ultimate Mathematical Formula Ultimate Law of Physics Ultimate Chemical Equation Ultimate Equations of Social Science Ultimate Equations of Life Sciences <p><span>This paper proposes a unified scientific framework based on the <strong>Cosmic Triplet Law</strong> (•, |, Ο), introducing a recursive structural equation:</span></p> <p><span> </span></p> <p><strong><span><span> </span>M(x) = f(M(x−1), M(x−2), ..., R) </span></strong></p> <p><span> </span></p> <p><span><span> </span></span><span>to model the evolution of natural, social, and intelligent systems.</span></p> <p><span><span> </span></span><span>Building upon a <strong>Nine-Level Theory of Structure</strong>, we derive nine discipline-level equations and compress them into three meta-level dynamics:</span></p> <p><span> </span></p> <p><span><span>1.<span> </span></span></span><span>A <strong>Structural Evolution Equation</strong> unifying mathematics, physics, and chemistry;</span></p> <p><span><span>2.<span> </span></span></span><span>A <strong>Social Dynamics Equation</strong> capturing political, economic, and behavioral systems;</span></p> <p><span><span>3.<span> </span></span></span><span>A <strong>Life Adaptation Equation</strong> describing gene–environment–complexity interaction.</span></p> <p><span><span> </span></span></p> <p><span><span> </span></span><span>These are further unified as a <strong>Universal Evolution Equation</strong>:</span></p> <p><span> </span></p> <p><span><span><span> </span><strong><span> </span>dM/dt = </strong></span></span><span></span><span><strong><span>⋅∇</span></strong></span><span><strong><span>M + </span></strong></span><span></span><span><strong><span>⋅</span></strong></span><span><strong><span>I(E,S,C) + </span></strong></span><span></span><span><strong><span>⋅</span></strong></span><span><strong><span>Q(x) </span></strong></span></p> <p><span><span> </span></span></p> <p><span><span> </span></span><span>This equation also represents the <strong>Intelligent Wave Equation</strong> <strong>□M</strong></span><strong><span> </span></strong><strong><span>=</span></strong><strong><span> </span></strong><strong><span>S(x)</span></strong><span>, proposed as the third fundamental wave — alongside gravitational and electromagnetic waves — governing the evolution of information and meaning across scales.</span></p> <p><span><span> </span>Our model bridges recursion, entropy, and feedback into a common evolution law, forming a closed-loop structure from cosmic origin to intelligent systems. It offers a mathematically compact, cross-disciplinary foundation for unifying science across physics, cognition, society, and life.</span></p> <p><span> </span></p> |
| title | Theoretical Foundations of Science: A Unified Framework Based on the Cosmic Law and Recursive Evolution |
| topic | Cosmic Triplet Law Nine-Level Theory of Structure Universal Evolution Equation Intelligent Wave Equation Universal Law Ultimate Mathematical Formula Ultimate Law of Physics Ultimate Chemical Equation Ultimate Equations of Social Science Ultimate Equations of Life Sciences |
| url | https://doi.org/10.5281/zenodo.15478979 |