What question did this study set out to answer?

The paper aims to redefine entropy beyond disorder, positioning it as a regulating process for configurations in systems of matter and energy.

January 25, 2026Open Access

Fractal Series — Paper 0: Fractal Overview — The Origin of Entropy

Key Points

The paper aims to redefine entropy beyond disorder, positioning it as a regulating process for configurations in systems of matter and energy.
Introduced the concept of entropy through logical reasoning from the state of the Void.
Utilized a balloon as a minimal physical model to illustrate how matter and energy interact.
Analyzed stability curves within various physical and biological systems.
Established that entropy facilitates stability in configurations under environmental constraints.
Demonstrated how energy influences systems, leading to phases of stagnation, peak stability, and eventual breakdown.
Illustrated that the same principles apply across scales, from atoms to complex systems.

Abstract

Fractal Series — Paper 0: Fractal Overview — The Origin of Entropy Title Fractal Series — Paper 0: Fractal Overview — The Origin of Entropy Author Juan F. Culajay Type Preprint / Report Language English License Creative Commons Attribution 4.0 International (CC BY 4.0)(recommended for maximum citability and reuse) Abstract (Description) The origin of entropy has long been misunderstood as a force that drives systems toward disorder. The Fractal Series reframes entropy as a regulatory process that evaluates which configurations of matter and energy can persist, with this opening paper establishing the conceptual foundation. Beginning from a purely logical baseline—the Void, a state with no variables—the series shows that once matter and energy exist, the natural default is random disorder, not order. The central paradox is then established: if disorder requires no mechanism, entropy cannot be its creator. Instead, entropy emerges as the process that explores, tests, and stabilizes configurations under environmental constraints. Using a balloon as a minimal physical system, we demonstrate how matter balances energy through a universal geometric pattern called Stability(E). As energy rises, the balloon transitions from stagnation, to a brief peak of maximal stability (Ψ), and finally to controlled breakdown when energy overwhelms environmental tolerance. This same stability curve governs atoms, proteins, stars, cells, and complex systems across scales. Paper 0 establishes this geometry as the foundational logic of the Fractal Series, showing that persistent structure arises only when energy, environment, and entropy form a stable regulatory balance. Keywords Fractals; Entropy; Stability Curves; Dynamic Order; Emergence; Thermodynamics; E³ Framework; Abiogenesis; Evolution; Intelligence; Consciousness; Learning; Morality; Spacetime; Stability Peaks (Ψ); Scale-Invariant Geometry Related Identifiers (Fractal Series Papers) Use "IsPartOf" or "References" in Zenodo. Culajay, J. (2025). Fractal Series — Paper 0: Fractal Overview — The Origin of Entropy. Zenodo. https://doi.org/10.5281/zenodo.17780671 Culajay, J. (2025a). Fractal Series — Paper 1: Fractal Entropy — The Dimensional Architecture of Entropic Regulation. Zenodo. https://doi.org/10.5281/zenodo.17507973 Culajay, J. (2025b). Fractal Series - Paper 2: Fractal Equilibrium - A Thermodynamic Framework for Nested Stability in Living Systems. Zenodo. https://doi.org/10.5281/zenodo.17509557 Culajay, J. (2025c). Fractal Series - Paper 3:Fractal Genesis - The Mineral Precursors to Biology. Zenodo. https://doi.org/10.5281/zenodo.17509846 Culajay, J. F. (2025d). Fractal Series - Paper 4:Fractal Evolution - A Thermodynamic Model for the Development of Life. Zenodo. https://doi.org/10.5281/zenodo.17509924 Culajay, J. (2025e). Fractal Series - Paper 5:Fractal Mechanics - The E³ Model in Action for Molecular Evolution. Zenodo. https://doi.org/10.5281/zenodo.17518356 Culajay, J. F. (2025f). Fractal Series — Paper 6:Fractal Sapience -The Recurrence of Sapience Across Epochs. Zenodo. https://doi.org/10.5281/zenodo.17532753 Culajay, J. (2025g). Fractal Series — Paper 7: Fractal Consciousness — The Thermodynamic Architecture of Awareness. Zenodo. https://doi.org/10.5281/zenodo.17780027 Culajay, J. (2025 h). Fractal Series — Paper 8: Fractal Learning — How Reality Teaches Itself from Molecules to Minds. Zenodo. https://doi.org/10.5281/zenodo.17779799 Culajay, J. (2025i). Fractal Series — Paper 9: Fractal Morality — The Thermodynamics of Social Coherence. Zenodo. https://doi.org/10.5281/zenodo.17778975 Culajay, J. (2025j). Fractal Series — Paper 10: Fractal Spacetime and Scale‑Echo Symmetry (SES). Zenodo. https://doi.org/10.5281/zenodo.17778646 Culajay, J. (2025k). Fractal Series — Paper 11: Conclusion: Stability(x) and the Geometry of Meaning. Zenodo. https://doi.org/10.5281/zenodo.17777921 Juan F. CulajayIndependent Researcher, Theoretical BiophysicistFractalism Framework Research Institute, Orlando, FL 📧 Email: juan@fractalismframework.com🌐 Site: https://fractalismframework.com/🔗 ORCID: 0009-0002-6887-5228 Open Review Policy This publication is part of an open scientific dialogue. Researchers and readers are invited to share constructive reviews, critiques, or replication insights related to Fractal Entropy, Fractal Stability, and the broader Fractal Series. Thoughtful feedback may be acknowledged in future revisions or derivative works. 📧 For scientific correspondence: juan@fractalismframework.com

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Juan Culajay (Fri,) studied this question.

synapsesocial.com/papers/6975b24dfeba4585c2d6dd39 https://doi.org/https://doi.org/10.5281/zenodo.18356150

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