Yu

The Geometric Origin of Rest Mass: Pure Orthogonal Field Topology, Scale Reciprocity, and the Golden Strain Lock (Δh ≈ 0.236)

Dispensing with rigid Cartesian coordinate bias, ad-hoc Higgs parameters, and abstract probabilistic wave packets, this paper establishes a pure geometric framework for the origin of rest mass and microscopic particle structure. Space is formulated not as a passive, empty stage,...

Topological Unlocking of Rest Mass: Harvesting Spatial Strain Energy via Phase-Controlled Mass Cancellation in a Geometric Electron Model

This paper presents a non-scalar, topological-geometric framework for the origin of rest mass and a theoretical mechanism for direct mass-energy harvesting without antiparticle annihilation. While Einstein’s mass-energy equivalence ($E=mc^2$) accounts for energy conservation duri...

The Geometric Origin of Rest Mass: Pure Orthogonal Field Topology, Scale Reciprocity, and the Golden Strain Lock (Δh ≈ 0.236)

Dispensing with rigid Cartesian coordinate bias, ad-hoc Higgs parameters, and abstract probabilistic wave packets, this paper establishes a pure geometric framework for the origin of rest mass and microscopic particle structure. Space is formulated not as a passive, empty stage,...

Topological Unlocking of Rest Mass: Harvesting Spatial Strain Energy via Phase-Controlled Mass Cancellation in a Geometric Electron Model

This paper presents a non-scalar, topological-geometric framework for the origin of rest mass and a theoretical mechanism for direct mass-energy harvesting without antiparticle annihilation. While Einstein’s mass-energy equivalence ($E=mc^2$) accounts for energy conservation duri...

Resolving the Cosmological Constant Problem via Dual-Scale Geometric Holography

The most severe discrepancy in modern theoretical physics is the vacuum catastrophe—a staggering $10^{120}$ order-of-magnitude gap between the vacuum zero-point energy density calculated by classical quantum field theory and the dark energy density observed astronomically. Based...

Resolving the Cosmological Constant Problem via Dual-Scale Geometric Holography

The most severe discrepancy in modern theoretical physics is the vacuum catastrophe—a staggering $10^{120}$ order-of-magnitude gap between the vacuum zero-point energy density calculated by classical quantum field theory and the dark energy density observed astronomically. Based...

Dismantling the "Quantum Entanglement" Pseudo-Paradox: What is "1"?

This work thoroughly dismantles the long-standing "Quantum Entanglement Paradox" by exposing mainstream physics' fundamental cognitive delusion regarding non-locality and spooky action at a distance. Mainstream quantum theory falsely assumes that particles exist as inherently ind...

Tensor Geometry and General Relativistic Field Equation Derivation of Taiji Reciprocal Dual Mapping

This study establishes the rigorous algebraic structure of the Taiji Reciprocal Dual Mapping based on the fundamental axiom that treats "original" (x_☉) and "dual" (r_⊗) coordinates as pure spacetime position quantities. By deriving a closed dual kernel between the original coord...

Comprehensive Addendum: First-Principles Axiomatic Proof of Reciprocal Duality in Inverse-Square Fields and the Mathematical Uniqueness of f(x) = x^-2 - x^2

This comprehensive addendum establishes a complete axiomatic framework grounded in First Principles to resolve the long-standing singularity and divergence crises in inverse-square physical fields. By synthesizing the cognitive bias of "linear inertia," the metric distortion prod...

A Symbolic Derivation of a Characteristic Length Scale from a Toy Dimensionless Oscillator Model: R0 = 2λ_C (Twice the Reduced Compton Wavelength)

This note presents a purely symbolic derivation, starting from an ad hoc dimensionless dynamical equation a = 1/x^2 - x^2 with equilibrium point x_eq = 1. Using only the algebraic relations f = c/(pi*R0), E = h*f, h = 2*pi*hbar, and E = m*c^2, a characteristic length scale R0 is...

A Manifesto of Dimensionless Geometry: The Pure Essence of the Universe

This manifesto presents a unified, pure dimensionless geometric framework for fundamental physics, establishing the dynamic law connecting microscopic bound states and cosmic expansion through a single parameter-free formula: a(r) = r^(-2) - r^2. The paper posits that current cos...