Kianming(Jianming) Wang

Boundary–Loop Rigidity: Symbolic Classification, Local Dissection, and Boundary-Adapted Solution Theory

We introduce Boundary–Loop Rigidity (LBR), a formalism that separates boundary data, complete-loop data, discrete symbols, and continuous realization parameters. Its algebraic model is a split exact sequence whose loop quotient is identified with the boundary space. When the loop...

KM Algebraic Geometry: Algebraic Screening, Representation Defects, Homological Methods, and Derived Reconstruction A Special Monograph in KM Theory

We develop KM algebraic geometry as a typed comparison theory for algebraic structures before and after screening. The objects under consideration include rings, modules, associative and graded algebras, representations, chain complexes, sheaves, schemes, algebraic cycles, deform...

A General Theory of Correlation Among Multiple Variables: Statistical Connectivity Spaces

Abstract This monograph develops a measure-theoretic theory of dependence for collections of internal variables observed under external background information. The primitive objects are projectively compatible regular conditional probability kernels on standard Borel spaces. For...

Iterated Functional Analysis, Volume I: Functional Levels, Quotient Shadows, Operator Theories, and Reconstruction Towers

This volume develops a typed framework for iterated functional analysis that distinguishes four mathematically different constructions: higher-order differentiation on a fixed state space, genuine functional levels whose elements act on lower-level functionals, invariant quotient...

Topological Thermodynamics: A Complete Reconstruction from Global Realism, Finite Topological Matter, and Historical Disturbance Fields

We reconstruct thermodynamics as a derived physical theory rather than a collection of independent macroscopic postulates. The construction contains exactly three physical axioms in their final unified form: microscopic ontic definiteness and finite localization, physical reality...

Iterated Functional Analysis, Volume I: Functional Levels, Quotient Shadows, Operator Theories, and Reconstruction Towers

This volume develops a typed framework for iterated functional analysis that distinguishes four mathematically different constructions: higher-order differentiation on a fixed state space, genuine functional levels whose elements act on lower-level functionals, invariant quotient...

Unified Corrected Electromagnetism, Electrodynamics, and Quantum Electrodynamics within Global Realism: Finite Topological Charge, Retarded Vacuum Response, Historical Feedback, and the Quantum-Electrodynamic Calculation Interface

We construct a unified entry point to electromagnetism within the global-realism framework. The theory retains exactly three physical axioms: microscopic ontic definiteness with finite localization, physical reality of a unique spacetime–vacuum substrate, and persistent causal re...

Iterated Functional Analysis, Volume I: Functional Levels, Quotient Shadows, Operator Theories, and Reconstruction Towers

This volume develops a typed framework for iterated functional analysis that distinguishes four mathematically different constructions: higher-order differentiation on a fixed state space, genuine functional levels whose elements act on lower-level functionals, invariant quotient...

Unified Corrected Electromagnetism, Electrodynamics, and Quantum Electrodynamics within Global Realism: Finite Topological Charge, Retarded Vacuum Response, Historical Feedback, and the Quantum-Electrodynamic Calculation Interface

We construct a unified entry point to electromagnetism within the global-realism framework. The theory retains exactly three physical axioms: microscopic ontic definiteness with finite localization, physical reality of a unique spacetime–vacuum substrate, and persistent causal re...

A Passive Causal Memory Model for the Central Peak in SrTiO₃

The cubic-to-tetragonal transition of SrTiO₃ exhibits a narrow central component near the antiferrodistortive wave vector while the associated soft phonon can retain a finite oscillation frequency. We formulate a minimal dynamical mechanism in which that phonon is linearly couple...

The Complete Einstein Equation of the Electron

We apply the full retarded Green operator to the harmonic-gauge linearized Einstein equation of a localized electron. The resulting causal field is compared with a classical truncation containing an instantaneous near-zone field and a finite outgoing radiation sector. Their diffe...

The Complete Einstein Equation of the Electron

We apply the full retarded Green operator to the harmonic-gauge linearized Einstein equation of a localized electron. The resulting causal field is compared with a classical truncation containing an instantaneous near-zone field and a finite outgoing radiation sector. Their diffe...

The Complete Einstein Equation of the Electron

We apply the full retarded Green operator to the harmonic-gauge linearized Einstein equation of a localized electron. The resulting causal field is compared with a classical truncation containing an instantaneous near-zone field and a finite outgoing radiation sector. Their diffe...

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...

Topological Condensed-Matter and Solid-State Physics: A Three-Axiom Reconstruction of Many-Body Matter, Crystals, Collective Excitations, Correlations, Topological Phases, and Transport

We develop a conditionally closed theoretical architecture for condensed-matter and solid-state physics from three physical axioms: microscopic ontic definiteness and finite localization, the physical reality of the spacetime-vacuum substrate, and persistent causal source–respons...

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...

KM Space Theory, Volume II: Coordinate Reduction, Topology, Algebraization, and Classical Return

We develop KM space theory as a layered framework for coordinate reduction, observable topology, homological invariants, algebraization, derived comparison, and return to classical geometry. KM dimension is defined through minimal structure-preserving equation presentations rathe...

Topological Cosmology and Astrophysics: A Complete Global-Realist Theory of Cosmic Evolution, Structure, and Compact Objects from Topological Matter and Historical Disturbance Fields

We reconstruct cosmology and astrophysics as the large-scale completion of global realism. The theory begins with one physical substrate, finite topological matter excitations, complete retarded propagation, and the historical disturbance field established in the preceding eleven...

Memory General Relativity and the Geometric Evolution of Spacetime: Ricci Flow, Torsion, Polarization, Fiber-Bundle Dynamics, Einstein–Rosen Geometry, Vacuum Fluctuations, and the Return to a Parent-Spacetime Attractor

We formulate memory general relativity as a geometric–historical extension of spacetime dynamics based on three physical axioms: finite microscopic ontic definiteness, the physical reality of the spacetime–vacuum substrate, and persistent causal retarded coupling between finite s...

Human-Use, Medicinal, Agricultural, Food, Toxicological, Forensic, and Consumer Chemistry in Global Realism: From Bioactive Molecular Intervention and Product Function to Exposure, Safety, Evidence, and Terminal Closure of Chemistry

This ninth and terminal chemistry volume develops a unified mathematical framework connecting previously defined chemical entities and delivery states to contact, exposure, distribution, transformation, function, damage, measurement, and evidence-limited decision-making. It impor...