The Information Dynamics of Decline: Senescence as an Optimal Life-History Trajectory with Rigorous Mortality Modeling
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866902231655120896 |
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| author | Kevin Fathi |
| author_facet | Kevin Fathi |
| contents | <p>This paper introduces a unified theoretical framework for the evolution of senescence, re-<br>casting it as an information-dynamic optimization process. We apply the Dynamic Entropy-<br>Complexity Correspondence (DECC) to model an organism’s life history. We establish a<br>rigorous foundation by modeling the developmental program as a generalized stochastic pro-<br>cess, explicitly incorporating mortality via absorbing boundaries. We rigorously derive the<br>Age-Dependent Complexity Dynamics Equation (CDE) and its renormalized form for the<br>surviving cohort, correcting for the loss of probability mass due to death using the renor-<br>malization theorem, with full proofs. By weighting the CDE terms by Fisher’s reproductive<br>value (Va), we transform life-history evolution into an optimal control problem. We provide<br>a rigorous derivation using the calculus of variations, explicitly solving the Euler-Lagrange<br>equations for a model Lagrangian representing the Disposable Soma (DS) trade-off. This<br>derivation formally proves that the optimal maintenance rate necessarily declines with Va,<br>leading to senescence when accounting for baseline damage. We demonstrate that Antagonis-<br>tic Pleiotropy (AP) and Mutation Accumulation (MA) emerge as constrained or degenerate<br>solutions to this variational problem. Furthermore, we utilize the Algorithmic Free Energy<br>(AFE) framework to interpret the evolution of the developmental program as an optimiza-<br>tion process balancing algorithmic complexity and fitness. This synthesis provides a unified,<br>mathematically rigorous foundation for senescence.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17561994 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Information Dynamics of Decline: Senescence as an Optimal Life-History Trajectory with Rigorous Mortality Modeling Kevin Fathi Bateson Game Senescence Biological Aging Evolutionary Game Theory Gregory Bateson Double Bind Recursive Systems Strategic Ambiguity Logical Types Systems Biology Cybernetics Aging Theory Inter-level Signaling Temporal Discounting <p>This paper introduces a unified theoretical framework for the evolution of senescence, re-<br>casting it as an information-dynamic optimization process. We apply the Dynamic Entropy-<br>Complexity Correspondence (DECC) to model an organism’s life history. We establish a<br>rigorous foundation by modeling the developmental program as a generalized stochastic pro-<br>cess, explicitly incorporating mortality via absorbing boundaries. We rigorously derive the<br>Age-Dependent Complexity Dynamics Equation (CDE) and its renormalized form for the<br>surviving cohort, correcting for the loss of probability mass due to death using the renor-<br>malization theorem, with full proofs. By weighting the CDE terms by Fisher’s reproductive<br>value (Va), we transform life-history evolution into an optimal control problem. We provide<br>a rigorous derivation using the calculus of variations, explicitly solving the Euler-Lagrange<br>equations for a model Lagrangian representing the Disposable Soma (DS) trade-off. This<br>derivation formally proves that the optimal maintenance rate necessarily declines with Va,<br>leading to senescence when accounting for baseline damage. We demonstrate that Antagonis-<br>tic Pleiotropy (AP) and Mutation Accumulation (MA) emerge as constrained or degenerate<br>solutions to this variational problem. Furthermore, we utilize the Algorithmic Free Energy<br>(AFE) framework to interpret the evolution of the developmental program as an optimiza-<br>tion process balancing algorithmic complexity and fitness. This synthesis provides a unified,<br>mathematically rigorous foundation for senescence.</p> |
| title | The Information Dynamics of Decline: Senescence as an Optimal Life-History Trajectory with Rigorous Mortality Modeling |
| topic | Bateson Game Senescence Biological Aging Evolutionary Game Theory Gregory Bateson Double Bind Recursive Systems Strategic Ambiguity Logical Types Systems Biology Cybernetics Aging Theory Inter-level Signaling Temporal Discounting |
| url | https://doi.org/10.5281/zenodo.17561994 |