Kianming(Jianming) Wang

Relativistic Momentum Deformation of Oriented Spacetime Topological Bodies: Source Completion of Historical Spacetime Wave Theory

This article gives a conditional source completion for observer-rooted historical spacetime wave theory. At a fixed receiving root \(A\) and on a weak short tube \(\Omega_{A,\rho}\), a massive material core is represented by an oriented relative integral cycle. Its admissible dis...

Relativistic Momentum Deformation of Oriented Spacetime Topological Bodies: Source Completion of Historical Spacetime Wave Theory

This article gives a conditional source completion for observer-rooted historical spacetime wave theory. At a fixed receiving root \(A\) and on a weak short tube \(\Omega_{A,\rho}\), a massive material core is represented by an oriented relative integral cycle. Its admissible dis...

On the Mechanical Nature of Spacetime: Condensation, Fundamental Responses, Quantum Statistics, and Observer-Relative Reconstruction

The present revision is motivated by a structural conflict exposed by the introduction of observer relativity. The earlier historical spacetime wave theory successfully organized causal propagation, material histories, field response, and many associated physical constructions. I...

On the Mechanical Nature of Spacetime: Condensation, Fundamental Responses, Quantum Statistics, and Observer-Relative Reconstruction

The present revision is motivated by a structural conflict exposed by the introduction of observer relativity. The earlier historical spacetime wave theory successfully organized causal propagation, material histories, field response, and many associated physical constructions. I...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

All Conventional Large-Scale Solutions of the Einstein Equations Have Been Wrong: A Two-Body Test Imposed by Special and General Relativity

The Einstein equation is correct. The classical method conventionally used to construct a large-scale many-body solution is not. By the classical method we mean the procedure that fixes a source record in a trial geometry and then solves for a different metric without rebuilding...

Modified Gravity Theory I: On the Modification of General Relativity by Special Relativity

We examine a consistency requirement in many-body general relativity. At a reception event \(p_A\), special relativity assigns no observer-independent simultaneous position to a source \(B\); the source relevant to \(A\) is selected instead on the past light cone of \(p_A\). Gene...

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...

Topological–Historical Continuum Mechanics: A Three-Axiom Framework for Finite Deformation, Plasticity, Defects, Memory, Fracture, Contact, Waves, Structural Reduction, and Certified Computation

We construct a unified framework for continuum mechanics from three physical axioms: microscopic ontic definiteness and finite localization, physical reality of the spacetime–vacuum substrate, and persistent causal source–response coupling. Continuum fields are defined through co...

Temperature-Selective Relaxation Spectra for Aging, Memory, and Rejuvenation in Relaxor Ferroelectrics

After an isothermal hold, a relaxor ferroelectric may look nearly unaged when it is cooled further, yet recover the earlier aging signal on reheating. Several holds can leave several such signals. This behavior follows from a simple model in which the measured polarization is cou...

The Radical-Graded Hochschild Cohomology of Truncated Cycle Algebras

Let \(Q_e\) be the oriented cycle on \(e\geq2\) vertices and let \(A=kQ_e/J^N\), where \(J\) is the arrow ideal and \(N>e\). Suppose that \(\operatorname{char}k\nmid N\), and put \(\mathfrak m=\operatorname{rad}\operatorname{HH}^0(A)\). The positive-degree Hochschild cohomology g...

General Theory of Exponential Complex Metric Spaces: Signature Strata, Metric Transport, Embeddings, and Variable-Dimensional Geometry

This monograph introduces exponential complex metric spaces as a coordinate-free framework for parameterizing nondegenerate symmetric bilinear forms and for organizing transport between their real and complex signature sectors. The construction is not the generalized metric of ge...

General Theory of Exponential Complex Metric Spaces: Signature Strata, Metric Transport, Embeddings, and Variable-Dimensional Geometry

This monograph introduces exponential complex metric spaces as a coordinate-free framework for parameterizing nondegenerate symmetric bilinear forms and for organizing transport between their real and complex signature sectors. The construction is not the generalized metric of ge...

KM Energy Decay, Calibrated Return, and a Conditional Proof of the Rational Hodge Conjecture Subtitle: Finite Obstruction Matrices, Algebraic Cone Shadows, and Density Rigidity

This paper identifies a precise analytic-to-algebraic bridge under which the KM compression and return formalism yields the rational Hodge conjecture for a fixed smooth complex projective variety. The bridge is formulated in terms of integral-current realizations of effective KM...

On the Geometric Origin of Spin

We develop a geometric account of spin for localized matter. Earlier work in this framework equips the configuration space of complex metrics with a positive Euclidean kinetic form and models a matter particle as a finite-energy Hopf configuration. We pull this kinetic form back...

KM Energy Decay, Calibrated Return, and a Conditional Proof of the Rational Hodge Conjecture Subtitle: Finite Obstruction Matrices, Algebraic Cone Shadows, and Density Rigidity

This paper identifies a precise analytic-to-algebraic bridge under which the KM compression and return formalism yields the rational Hodge conjecture for a fixed smooth complex projective variety. The bridge is formulated in terms of integral-current realizations of effective KM...