E-ISSN 1658-9025
 
2025, Vol: 4, Issue: 2
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Original Research 


Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control

Ahmed M. Hala.

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    • Abstract
    This paper proposes a novel regulatory framework for fission reactors termed Successive Controlled Collapse (SCC), utilizing the Hala Operator to maintain deterministic control in high-entropy environments. Traditional reactor control relies on linear feedback loops (PID) which often struggle with the non-linear smearing effects of high-burnup stochastic noise and mechanical phase lag. Through a series of Taguchi L9 orthogonal experiments and high-fidelity numerical simulations, we demonstrate that a reactor can be caged within a stable limit cycle attractor. Our results identify a critical stability boundary defined by the Largest Lyapunov Exponent (??ax), showing that while SCC is highly resilient to stochastic gamma interference, it remains sensitive to mechanical latencies exceeding 1.5 seconds. This research provides a mathematical foundation for a new generation of topologically safe reactor control protocols that prioritize manifold rigidity over simple linear quenching.

    Key words: Successive Controlled Collapse (SCC), Hala Operator, non-linear manifold engineering, Lyapunov exponent analysis.


    		 
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    Pubmed Style

    Ahmed M. Hala. Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. J Nucl Radiat Sci. 2025; 4(2): 1-19. doi:10.5455/jnrs.2025.02.001

    Web Style

    Ahmed M. Hala. Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. https://www.jnrsmu.org/?mno=310900 [Access: March 31, 2026]. doi:10.5455/jnrs.2025.02.001

    AMA (American Medical Association) Style

    Ahmed M. Hala. Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. J Nucl Radiat Sci. 2025; 4(2): 1-19. doi:10.5455/jnrs.2025.02.001


    Vancouver/ICMJE Style

    Ahmed M. Hala. Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. J Nucl Radiat Sci. (2025), [cited March 31, 2026]; 4(2): 1-19. doi:10.5455/jnrs.2025.02.001


    Harvard Style

    Ahmed M. Hala (2025) Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. J Nucl Radiat Sci, 4 (2), 1-19. doi:10.5455/jnrs.2025.02.001


    Turabian Style

    Ahmed M. Hala. 2025. Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. Journal of Nuclear and Radiation Sciences, 4 (2), 1-19. doi:10.5455/jnrs.2025.02.001


    Chicago Style

    Ahmed M. Hala. "Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control." Journal of Nuclear and Radiation Sciences 4 (2025), 1-19. doi:10.5455/jnrs.2025.02.001


    MLA (The Modern Language Association) Style

    Ahmed M. Hala. "Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control." Journal of Nuclear and Radiation Sciences 4.2 (2025), 1-19. Print. doi:10.5455/jnrs.2025.02.001


    APA (American Psychological Association) Style

    Ahmed M. Hala (2025) Non-Linear Manifold Engineering Stability Framework for Nuclear Fission Energy Reactor Parametric Control. Journal of Nuclear and Radiation Sciences, 4 (2), 1-19. doi:10.5455/jnrs.2025.02.001


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    Professor Thamer Alharbi
    t.alharbi@mu.edu.sa
    Professor Yousef Mohammed Yousef
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    Saudi Nuclear Society
    Majmaah University
    Saudi Arabia