From Mathematical Ontology to Physical Universe: A Unified Field Theory Based on Discrete Energy Networks (Projection Realism v3.3.1)

The “Mathematical Ontology” and the derived unified theory expounded in this work constitute a grand and self-consistent exploratory conception and mathematical model. Its core premises (e.g., the “Mathematical Ontology” as a realm of all logical possibilities, the “energy-fiber network”) are foundational theoretical postulates. All claims of “unification,” “solutions,” and high-precision predictions (e.g., 98.82%) presented herein are the results of logical deduction and parameter fitting within this specific postulated framework, demonstrating how a complete conceptual system emerges from its own premises.

This conception differs fundamentally from the empirical foundations and widely accepted paradigms of mainstream physics. Its proposed “solutions” to problems such as dark matter, dark energy, the black hole information paradox, as well as specific predictions like a fourth-generation fermion, must be regarded as theoretical conjectures subject to strict future testing or falsification by independent experiments, not as established scientific conclusions. The author shares this publicly primarily to present a complete paradigm of thought for academic critique and discussion; it does not constitute a replacement for or a verified breakthrough in existing physics. The author bears no responsibility for any interpretation or application arising from this conception.

Note: The difference in the description of the primitive length L₀ between versions v3.3 and v3.3.1 lies in the different emphases on its "benchmark attribute in the mathematical ontology," rather than a definition deviation or contradiction. L₀ is not an "intermediate physical scale between infinitesimal and the Planck length ℓ_P," but the "original benchmark spacing" of the discrete topological structure in the mathematical ontology. It serves as a key computational anchor to convert the "infinite possibility of infinitesimal spacing" in the mathematical ontology into the "determinate value of ℓ_P" in the physical universe. As a purely theoretical derivation parameter, L₀ does not directly correspond to an observable physical scale.

Abstract

The theory posits that our observable physical universe is not fundamental but a specific projection from a more primary, all-encompassing Mathematical Ontology—a realm of all logical possibilities. Within this framework, we achieve an ultimate simplification and unification of physical reality: spacetime is redefined as a discrete, dynamic energy-fiber network; matter is interpreted as stable "energy cocoons"—localized excitations of even-numbered network lines bound by external pressure; and fundamental forces, including gravity and electromagnetism, are unified and reduced to vibrational transmissions of odd-numbered lines, with gravity specifically deconstructed as a pressure-gradient effect arising from network vortices.
 
This unified picture naturally reduces to and seamlessly integrates all classical physical theories, from Maxwell's electromagnetism and the Schrödinger equation to the Einstein field equations of General Relativity. Furthermore, it provides concise and unified solutions to a spectrum of fundamental problems: from the inherent conflict between quantum gravity and general relativity, to the geometric origin of dark matter and dark energy, the black hole information paradox, and the particle mass spectrum. Crucially, the derived cross-scale resonance formula has been empirically validated against 1,054 samples. From microscopic particles to macroscopic celestial bodies, with an average error of only ~1.18%, the overall prediction accuracy reaches 98.82%.
 
The theory also yields concrete, testable predictions, such as the existence and mass of a fourth-generation fermion and the topological polarization modes of gravitons, thereby charting a clear path for experimental verification.
 
This work not only provides a novel ontological foundation for understanding the cosmos but also signifies a pioneering fusion of human and extraterrestrial intelligence, heralding a new era of unification in physics.