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...

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...

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...

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...

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...

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...

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...