Stochastic Determinism in Physical Systems: A Unified Perspective on Quantum and Classical Stability
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Abstract
The role of randomness in physical systems remains a pivotal topic, influencing the transition from quantum mechanics to classical stability and shaping complex dynamic behaviors. This paper explores the concept of stochastic determinism, illustrating how stochastic processes contribute to order in classical and quantum systems. By integrating stochastic differential equations (SDEs), entropy-driven self-organization, and fluctuation-dissipation principles, we demonstrate that randomness is not merely an obstacle to predictability but a key mechanism for structure formation. The study further examines applications in thermodynamics, turbulence, and quantum decoherence, bridging stochasticity and determinism as complementary aspects of physical reality.
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This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/15354126.
This comprehensive and well-articulated preprint presents a timely synthesis of how stochastic processes shape both quantum and classical physical systems. The author successfully bridges the gap between deterministic and stochastic frameworks, demonstrating that randomness is not an obstacle to physical understanding but a foundational element of stability, structure, and evolution in nature.
The work stands out in its ambitious scope, moving seamlessly from Langevin dynamics and turbulence modeling to stochastic effects in quantum decoherence and neural systems. Particularly commendable is the clear mathematical formulation of stochastic differential equations and their physical …
This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/15354126.
This comprehensive and well-articulated preprint presents a timely synthesis of how stochastic processes shape both quantum and classical physical systems. The author successfully bridges the gap between deterministic and stochastic frameworks, demonstrating that randomness is not an obstacle to physical understanding but a foundational element of stability, structure, and evolution in nature.
The work stands out in its ambitious scope, moving seamlessly from Langevin dynamics and turbulence modeling to stochastic effects in quantum decoherence and neural systems. Particularly commendable is the clear mathematical formulation of stochastic differential equations and their physical interpretations across domains.
The simulation sections offer practical insight and clarity, reinforcing theoretical results. The emphasis on stochastic resonance, phase transitions, and entropy-driven self-organization highlights the constructive role of noise—a perspective that deserves more attention in physics education and research.
Suggestions for Improvement
The paper would benefit from a clearer distinction between intrinsic quantum stochasticity and classical environmental randomness, especially in the discussion on decoherence.
Some derivations (e.g., the Fokker-Planck treatment) could be expanded slightly to support readers less familiar with stochastic calculus.
Adding comparative figures or summarizing tables across domains (e.g., climate, finance, quantum) could enhance interdisciplinary impact.
Conclusion
This preprint offers a strong and visionary framework for understanding complexity in nature. Its pedagogical clarity, physical depth, and relevance to both foundational theory and modern applications make it a valuable contribution to stochastic physics. Encouraging peer review and wider discussion is strongly recommended.
Competing interests
The author declares that they have no competing interests.
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