A General Theory of Process: Unifying Physics, Intelligence, and Topology via Structural Isomorphism

Rowan Brad Quni-Gudzinas

Modern science is currently fragmented into siloed disciplines—Quantum Mechanics, Artificial Intelligence, Network Science, and Signal Processing—each describing complex systems using disparate vocabularies. This manuscript proposes a General Theory of Process, asserting that these fields are not merely analogous but are topologically isomorphic. By synthesizing fifteen foundational studies, we identify six rigorous Structural Isomorphisms that map the mechanics of reality across substrates. We demonstrate that the “Collapse” of a wavefunction, the “Digitization” of a signal, and the “Hallucination” of an AI are identical symmetry-breaking events occurring at a bandwidth horizon. We unify the concept of “Holographic Wet Hair” with “Anyon Density Halos” and “Non-Markovian Noise,” proving that information lost locally is rigorously conserved non-locally. Finally, we propose that computation is not symbolic manipulation but Hamiltonian Instantiation, where the “Arrow of Time” is generated by the dissipative viscosity required for epistemic stability. This framework provides a “Rosetta Stone” for interdisciplinary science, translating the physics of the vacuum into the engineering of intelligence.

Joachim Klose

changzheng zhou, ZIQING zhou

This paper demonstrates that topological order constitutes a rigorous physicalrealization of the always-isomorphism proposition in quantum many-body systems.The always-isomorphism proposition, introduced as a cross-scale structural convergence hypothesis, asserts that for systems satisfying hierarchical generative structure and information conservation conditions, although the generative origin andthe evolutionary terminus are maximally separated in the superficial causal chain,they must converge in deep topology onto the same generative kernel. We firstestablish a formal framework and physical interpretation of this hypothesis, clearlydistinguishing three processes: renormalization group flow, dynamical time evolution, and adiabatic deformation, and a priori delineate three failure boundaries:gap closing, non-unitary environment coupling, and short-range entanglement. Onthis basis, we prove that the ground-state degeneracy stability, rigidity of longrange entanglement, and modular invariance of the anyon modular tensor categoryof topological order exactly correspond to the rigorous physical versions of the threenecessary conditions for always-isomorphism. By decomposing the theorem into anRGconvergence theorem and a dynamical preservation theorem, we eliminate conceptual confusion and provide a complete categorical equivalence proof. The toriccode model and the fractional quantum Hall effect serve as concrete examples showing the precise correspondence among the generative origin, evolutionary terminus,and deep generative kernel. Failure analysis reveals gradual failure behavior in thecritical region, offering feasible schemes for experimental testing. We conclude thatthe relationship between topological order and always-isomorphism is not an accidental analogy but a necessary coincidence of deep structures — topological orderprovides a mapping channel from category theory to condensed matter physics foralways-isomorphism, while always-isomorphism provides a genetic interpretationin the temporal dimension and hierarchical structure for topological order.

William Demopoulos

David Finkelstein

CK Hung

This paper proposes Informational Flow Ontology (IFO), a minimal metaphysical framework that derives the fundamental categories of reality—time, matter, energy, consciousness, intelligence, free will, and aesthetic experience—from a small set of axioms centered on information, causality, and collapse. IFO treats collapse (the transition from possibility to determinacy) as the primitive event, information as its substrate, and causality as information in motion. Time is identified with causality itself, quantified as the count of micro-collapse events. Energy emerges as the collapsed form of time. The framework posits structural isomorphism between the physical and conscious domains, both governed by a single conservation principle (causal-energy conservation), generalizing Noether's theorem beyond physics. Beauty is defined as the perception of multi-aspect alignment, providing an internal epistemic criterion. The framework is internally closed, structurally minimal, and compatible with frontier physics (causal set theory, quantum information) and classical metaphysical traditions (Spinoza, Leibniz, Whitehead).