PREreview of Stochastic Determinism in Physical Systems: A Unified Perspective on Quantum and Classical Stability

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.