Mathematical Physics

Modeling of a Hybrid Dynamical System with Fission--Fusion Cycle Derived from a Modulated Arithmetico-Geometric Sequence

Authors: Linia Hammache

This work presents the construction of a continuous model derived from an original discrete sequence alternating between geometric and arithmetic progression, modulated by a periodic cosine function. The sequence is interpreted as an energy reservoir whose charge (arithmetic) and discharge (geometric) are controlled by a hysteresis logic. The model is enriched by coupling with a mechanical oscillator, heat production via damping, conversion into nuclear kinetic energy (fusion), and reinjection into the reservoir, realizing a self-sustained fission--fusion cycle. Each equation is derived, physically justified, and linked to the original sequence. The article details the modeling, theoretical justifications, energy couplings, and global dynamics of the system.

Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

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[v1] 2026-08-22 23:50:09

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