Kianming(Jianming) Wang

On the Dynamics of Celestial Bodies: Dark Matter

We develop a mathematical mechanism for dark-matter phenomenology by retaining the causal and nonlinear Einstein dynamics before applying finite-resolution approximations. Finite conserved world tubes generate a retarded metric, whose unresolved historical component defines a con...

On the Dynamics of Celestial Bodies: Dark Matter

We develop a mathematical mechanism for dark-matter phenomenology by retaining the causal and nonlinear Einstein dynamics before applying finite-resolution approximations. Finite conserved world tubes generate a retarded metric, whose unresolved historical component defines a con...

Outer Functional Analysis, Volume III: Harmonic Observations, Phase-Space Geometry, and Multiscale Reconstruction

This volume develops an iterated outer-functional framework for harmonic analysis. Native functions, distributions, measures, and kernels form the base level; harmonic observations acting on these objects form the first functional level; and sharp constants, extremizer moduli, co...

Outer Functional Analysis, Volume III: Harmonic Observations, Phase-Space Geometry, and Multiscale Reconstruction

This volume develops an iterated outer-functional framework for harmonic analysis. Native functions, distributions, measures, and kernels form the base level; harmonic observations acting on these objects form the first functional level; and sharp constants, extremizer moduli, co...

A Deng–Hani–Ma-Guided Kinetic Program for Finite-Core Particles: Microscopic Dynamics, Retarded Disturbance Fields, and Fluid Limits

The mathematical main line of this manuscript is the passage from enlarged finite-\(N\) dynamics to exact Liouville/BBGKY representations, collision-history cumulants, a Boltzmann-type mesoscopic equation, and finally model-specific fluid limits. The rigorous template is the hard...

Boundary–Complete-Loop Theory Volume III: LBR Abstract Topological Algebra Subtitle Integral-Loop Equations, Root Extensions, Group Actions, and Algebraic Topological Families

We develop LBR abstract topological algebra from the integral-loop equation \[ 0\longrightarrow\Lambda\longrightarrow \Lambda\otimes_{\mathbb Z}\mathbb R \longrightarrow\mathbb T_\Lambda\longrightarrow0. \] A finite LBR state is algebraized through the loop group algebra \(R[\Lam...

Physics and Computation of Short-Range Fundamental Interactions: A Topological–Historical Gauge-Spectral Reconstruction of Quantum Chromodynamics, Electroweak Dynamics, Finite Particle Cores, Causal Response, and Unified Non-Lattice Computation

This monograph develops a continuous mathematical framework for the strong and electroweak short-distance sectors while keeping their distinct infrared meanings explicit. The color connection is a massless non-Abelian gauge connection at the level of the local action; observable...

ntroduction to Higher-Order Functional Analysis, Volume II: General Analytic Solutions of General Nonlinear Equations

This volume develops an equation-theoretic framework for higher-order functional analysis. Its purpose is not to claim a universal closed-form solution method for arbitrary nonlinear equations, but to provide a typed and auditable architecture for constructing, classifying, recon...

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...

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...

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...

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...

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...