Kianming(Jianming) Wang

Topological–Historical Wave Dynamics: A Complete Global-Realist Theory of Physical Waves, Memory, Spectra, Conservation Laws, Computation, and Experimental Tests

We establish a logically closed, mathematically formulated, computationally executable, and experimentally falsifiable theory of wave dynamics within the global-realist framework. The construction inherits exactly three physical axioms: microscopic ontic definiteness and finite l...

Topological Plasma Physics: A Three-Axiom Framework for Kinetic Theory, Collective Dynamics, Transport, Magnetohydrodynamics, Fusion, and Plasma Diagnostics

We develop a unified framework for modern plasma physics from three physical axioms: microscopic ontic definiteness and finite localization, the physical reality of the spacetime-vacuum substrate, and persistent causal source–response coupling. Charged particles are represented a...

Topological–Disturbance-Field Fluid Mechanics: An Axiomatic Reconstruction from Global Realism, Corrected Kinetic Theory, and Memory-Extended Continuum Dynamics

We present a closed topological–disturbance-field reconstruction of fluid mechanics from three physical axioms: the reality of a spacetime-vacuum substrate, the existence of finite topological material carriers, and persistent causal coupling between carrier motion and retarded d...

Topological Analytical Mechanics: The Global-Realist Replacement of Point-Particle, Memoryless Mechanics by Finite-Core, Sector-Resolved, and Historically Coupled Dynamics

We reconstruct analytical mechanics from exactly three physical axioms: microscopic ontic definiteness and finite localization, physical reality of the spacetime-vacuum substrate, and persistent causal source–response coupling. Material bodies are represented not as structureless...

Topological--Historical Quantum Mechanics: A Three-Axiom Reconstruction of Quantum States, Dynamics, Probability, Measurement, Entanglement, Spin, Statistics, Open Systems, and the Classical Limit

We develop a conditionally closed reconstruction of quantum mechanics from exactly three physical axioms: microscopic ontic definiteness and finite localization, physical reality of the spacetime--vacuum substrate, and persistent causal source--response coupling. Wave functions,...

Topological–Disturbance-Field Fluid Mechanics: An Axiomatic Reconstruction from Global Realism, Corrected Kinetic Theory, and Memory-Extended Continuum Dynamics

We present a closed topological–disturbance-field reconstruction of fluid mechanics from three physical axioms: the reality of a spacetime-vacuum substrate, the existence of finite topological material carriers, and persistent causal coupling between carrier motion and retarded d...

Topological Optics from Global Realism: A Three-Axiom Reconstruction of Photon Genesis, Causal Propagation, Matter Response, and Classical–Quantum–Nonlinear Optical Dynamics

Abstract We construct topological optics as the optical sector of global realism from three foundational axioms: microscopic ontic definiteness, the physical and causal reality of the spacetime-vacuum substrate, and persistent coupling between every localized matter excitation an...

Topological and Disturbance-Field Particle Physics: A Complete Global-Realist Theory of Matter Sectors, Response Quanta, Interactions, Scattering, and the Correction of the Standard Model

We reconstruct particle physics from three ontological axioms: microscopic reality, the physical reality of the spacetime vacuum, and persistent causal coupling between localized excitations and vacuum response. Matter particles are identified with stable finite-energy topologica...

Permutation Algebraic Geometry: Presentations, Algebraic Subspaces, Covering Groupoids, Cohomology, Topoi, and Fibres

We construct permutation algebraic geometry from actions on presentations rather than automorphisms of one fixed space. In the affine polynomial sector, a slot permutation gives a linear operator \(T_w\) that is generally nonmultiplicative. For an ideal \(I\subseteq S\), the clos...

Energy and Metabolism: The Economy of Topological Organization—Volume III of the Axiomatization of Biology in the Global-Realism Framework

This manuscript develops the third biological volume of the global-realist axiomatization program. It derives metabolism and biological energy transduction from previously established physical, chemical, cellular, and genetic foundations. Metabolism is defined as a stoichiometric...

From Two "Almosts" to One "Almost": Multiscale Anti-Concentration on a Closed Arithmetic-Progression Operator Tree

Terence Tao proved that almost all Collatz orbits attain almost bounded values in logarithmic density. This paper replaces an earlier conditional level-ergodicity approach with a deterministic multiscale measure framework on the history unfolding of an arithmetic-progression oper...

Turing Completeness of Arithmetic-Progression Operator Spaces: Dyadic Cylinder Algebra, Stack Simulation, Symbolic 2 2-Adic Completion, and the Collatz Realization Problem

We construct a closed arithmetic-progression operator calculus whose states are dyadic index cylinders, finite disjoint cylinder families, inherited weights, and finite control labels. For every finite binary word \(u\), the associated cylinder is an arithmetic progression and ha...

Turing Completeness of Arithmetic-Progression Operator Spaces: Dyadic Cylinder Algebra, Stack Simulation, Symbolic 2 2-Adic Completion, and the Collatz Realization Problem

We construct a closed arithmetic-progression operator calculus whose states are dyadic index cylinders, finite disjoint cylinder families, inherited weights, and finite control labels. For every finite binary word \(u\), the associated cylinder is an arithmetic progression and ha...

From Two "Almosts" to One "Almost": Multiscale Anti-Concentration on a Closed Arithmetic-Progression Operator Tree

Terence Tao proved that almost all Collatz orbits attain almost bounded values in logarithmic density. This paper replaces an earlier conditional level-ergodicity approach with a deterministic multiscale measure framework on the history unfolding of an arithmetic-progression oper...

A Note on Cancellation for Frobenius Group Rings with Binary Polyhedral Complements

Let \(G=N\rtimes H\) be a finite Frobenius group with nontrivial abelian kernel \(N\) and binary polyhedral complement \(H\). We record a character-theoretic observation concerning the part of \(\mathbb Q[G]\) supported on the nontrivial characters of \(N\): every corresponding i...

Prime-Coordinate Analysis: Foundations, Measure Theory, Operator Structure, and Arithmetic Geometry

Abstract This work develops a systematic framework for studying positive integers through their prime-exponent coordinates. Writing n=∏ppvp(n),n=p∏pvp(n), an integer is represented as a finitely supported vector indexed by the primes. This representation separates three distinct...