Changho Cho

Computational Explorations of Constrained $SO(3,3)$ Spacetimes: Part I. Visualizing the Curvature Singularity and Topological Solitons

Numerical and visual verifications of the constrained SO(3,3) multitemporal spacetime framework are presented in this paper. While heavy lattice simulations are constrained by hardware limitations, this study employs accessible, low-dimensional computational toy models to graphic...

Constrained SO(3,3) Spacetime: Part II. Transverse-Time Fluctuations and the Geometric Origin of Quantum Superposition

In standard quantum mechanics, wave-function collapse and superposition are treated as fundamental postulates devoid of underlying deterministic geometric mechanisms. Building upon a previously established constrained SO(3,3) spacetime framework, where a dynamic topological const...

Constrained SO(3,3) Spacetime: Part III. Closed Topological Solitons, Spin Quantization, and Rest Mass Generation

Operating under the theoretical assumption that a topological constraint field successfully suppresses negative-norm ghost states in an SO(3,3) spacetime, this paper explores the further geometric implications of uncompactified transverse-time dimensions. We propose a conceptual...

Topological Constraints on SO(3, 3) Spacetime: Part VIII. Topological Links, Pure Writhe, and the Geometric Origin of Flavor Mixing

Building upon the structural stability of topological solitons in a 3 + 1 + 2 multi-time manifold, this paper extends the SO(3, 3) constraint framework to the entire Standard Model fermion sector. We model neutrinos as pure topological writhes (ribbons without crossings), geometr...

Constrained SO(3,3) Spacetime: Part VIII. SU(3) Topological Links and the Geometric Origin of Flavor Mixing

Building upon the structural stability of topological solitons in a 3+1+2 multi-time manifold, this paper extends the SO(3,3) constraint framework to the entire Standard Model fermion sector. We model neutrinos as pure topological writhes (ribbons without crossings), geometricall...

Constrained SO(3,3) Spacetime: Part IV. Kinematic Phase-Anchoring and the Asymptotic Classical Limit

Operating under the theoretical assumption that a topological constraint field provides an effective kinematic barrier against negative-norm ghost states in an SO(3,3) spacetime, this paper explores the geometric relationship between mass, relativistic momentum, and transverse-ti...

Constrained SO(3,3) Spacetime: Part V. Torus Knot Topologies and the Emergence of Lepton Mass Hierarchy

The origin of the exponential mass hierarchy among the three charged lepton generations (electron, muon, tau) remains one of the prominent open questions in fundamental particle physics, typically accommodated within the Standard Model via fine-tuned Yukawa couplings. Building up...

Topological Constraints on SO(3, 3) Spacetime: Part VII. Path-Integral WKB Derivation and Asymptotic Lorentz Covariance

Previous works established a geometric framework wherein transverse-time quantum tunneling is suppressed across mass and velocity scales via macroscopic Phase-Anchors. This paper formalizes that suppression mechanism within a rigorous path-integral framework. By applying a tempor...

Constrained SO(3,3) Spacetime: Part VI. Extended ADM Hamiltonian Foliation and Exact BRST Quantization

Previous formulations established that a dynamic topological constraint field kinematically suppresses negative-norm ghost states by decomposing the SO(3,3) metric into a 3+1+2 structure. To elevate this kinematic suppression to a rigorous dynamical proof, this paper constructs a...

Topological Constraints on SO(3, 3) Spacetime: Part VI. Extended ADM Hamiltonian Formulation and Exact BRST Quantization

Previous formulations established that a dynamic topological constraint field kinematically suppresses negative-norm ghost states by decomposing the SO(3, 3) metric into a 3 + 1 + 2 structure. To elevate this kinematic suppression to a rigorous dynamical proof, this paper constru...

Kinematic Suppression of Ghost States in SO(3,3) Spacetime via a Topological Constraint Field: A Meta-Time Vector Approach

In standard high-dimensional formulations such as SO(3,3) spacetime, unconstrained temporal degrees of freedom inevitably lead to negative-norm ghost states, threatening the unitarity of the theory. To resolve this instability, this paper proposes a theoretical 3+1+2 dimensional...

Topological Constraints on $SO(3,3)$ Spacetime: Part I. Vacuum Structure and Ghost Suppression

In standard higher-dimensional formulations such as SO(3,3) spacetime, unconstrained temporal degrees of freedom inevitably lead to negative-norm ghost states, threatening the unitarity of the theory. To resolve this instability, this paper proposes a theoretical 3+1+2 dimensiona...

Topological Constraints on SO(3,3) Spacetime: Part II. Orbitals, Superposition, and Geometric Decoherence

In standard quantum mechanics, wave-function collapse and superposition are formulated as fundamental postulates devoid of underlying deterministic geometric mechanisms. Building upon a previously established constrained SO(3,3) spacetime framework, where a dynamic topological co...

Kinematic Suppression of Ghost States in SO(3,3) Spacetime via a Topological Constraint Field: A Meta-Time Vector Approach

In standard high-dimensional formulations such as SO(3,3) spacetime, unconstrained temporal degrees of freedom inevitably lead to negative-norm ghost states, threatening the unitarity of the theory. To resolve this instability, this paper proposes a theoretical 3+1+2 dimensional...

Meta-Time Constrained SO(3,3) Spacetime Structure: A Framework for Resolving Ghosts, Quantum Phenomena, and Cosmological Mapping

In standard modern physics, high-dimensional spacetime frameworks featuring multiple timelike dimensions—such as SO(3,3)—suffer from negative-norm ghost states due to unconstrained temporal degrees of freedom. In this paper, we propose a novel 3+1+2 dimensional spacetime model de...