Changho Cho

Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold

Mainstream quantum mechanics and physical chemistry have traditionally approached decoherence and chemical reactions primarily through the lens of energy scalars. This paper explores a theoretical framework based on a constrained 3+1+2 multitemporal manifold, proposing an interpr...

Topological Mechanics of Chemical Bonds: Deriving the Baseline Tension Constant within a 3+1+2 Manifold

Mainstream quantum mechanics and physical chemistry have traditionally approached decoherence and chemical reactions primarily through the lens of energy scalars. This paper explores a theoretical framework based on a constrained 3+1+2 multitemporal manifold, proposing an interpr...

A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review from Topological Extradimensions to the Master Lagrangian

Standard multidimensional theories involving extra time dimensions, such as unconstrained SO(3,3) spacetimes, typically encounter severe theoretical instabilities, including closed timelike curves (CTCs) and negative-norm ghost states. This comprehensive review explores an altern...

Topological Dynamics and Geometric Ontology of Particles within a Constrained 3+1+2 Spacetime

Building upon the foundational SO(3,3) multitemporal spacetime hypothesis established in the author’s previous work, this paper investigates the deterministic geometric ontology of fundamental particles when dynamically constrained into a 3+1+2 structure. Operating strictly withi...

Reinterpreting Non-Locality: A Geometric Hypothesis of Quantum Entanglement in a Constrained 3+1+2 Manifold

Abstract Standard quantum mechanics often describes entanglement as a non-local correlation, presenting persistent conceptual conflicts with relativistic causality. This paper proposes a heuristic geometric hypothesis within a constrained 3+1+2 multitemporal manifold, reinterpret...

A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review from Topological Extradimensions to the Master Lagrangian

Standard multidimensional theories involving extra time dimensions, such as unconstrained SO(3,3) spacetimes, typically encounter severe theoretical instabilities, including closed timelike curves (CTCs) and negative-norm ghost states. This comprehensive review explores an altern...

A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review from Topological Extradimensions to the Master Lagrangian

Standard multidimensional theories involving extra time dimensions, such as unconstrained SO(3,3) spacetimes, typically encounter severe theoretical instabilities, including closed timelike curves (CTCs) and negative-norm ghost states. This comprehensive review explores an altern...

A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review from Topological Extradimensions to the Master Lagrangian

Standard multidimensional theories involving extra time dimensions, such as unconstrained SO(3,3) spacetimes, typically encounter severe theoretical instabilities, including closed timelike curves (CTCs) and negative-norm ghost states. This comprehensive review explores an altern...

From Topological Limits to the Master Lagrangian: Resolving UV Divergence in 6D Spacetime

This paper explores a potential geometric resolution to the ultraviolet (UV) divergence problem encountered when introducing higher-derivative terms into a 6D SO(3,3) multi-time spacetime framework. While standard Quantum Field Theory (QFT) has achieved unparalleled success in de...

Mathematical Foundations of Constrained $SO(3,3)$ Spacetimes: Part III. The Master Lagrangian, Quantum Limitations, and Geometric Perspectives

This paper synthesizes the extrinsic geometric constraints and algebraic conditions of the SO(3,3) multitemporal spacetime to construct a unified classical Master Lagrangian. By integrating the Phase-Anchor mechanism, the Wunderlich extrinsic curvature penalty, and the Bogomol'ny...

From Topological Limits to the Master Lagrangian: Resolving UV Divergence in 6D Spacetime

This paper explores a potential geometric resolution to the ultraviolet (UV) divergence problem encountered when introducing higher-derivative terms into a 6D SO(3,3) multi-time spacetime framework. While standard Quantum Field Theory (QFT) has achieved unparalleled success in de...

Mathematical Foundations of Constrained $SO(3,3)$ Spacetimes: Part III. The Master Lagrangian, Quantum Limitations, and Geometric Perspectives

This paper synthesizes the extrinsic geometric constraints and algebraic conditions of the SO(3,3) multitemporal spacetime to construct a unified classical Master Lagrangian. By integrating the Phase-Anchor mechanism, the Wunderlich extrinsic curvature penalty, and the Bogomol'ny...

A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review of Topological Extradimensions and Quantum Phenomena

Standard multidimensional theories involving extra time dimensions, such as unconstrained SO(3,3) spacetimes, typically encounter severe theoretical instabilities, including closed timelike curves (CTCs) and negative-norm ghost states. This paper explores an alternative geometric...

Constrained SO(3,3) Spacetime: Part I. Vacuum Symmetry Breaking and the Kinematic Suppression of Ghost States

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...

Constrained SO(3,3) Spacetime: Part VII. Euclidean Path Integrals and the Asymptotic Recovery of 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...

Mathematical Foundations of Constrained $SO(3,3)$ Spacetimes: Part II. Geometric Limits, Constraint Algebra, and Topological Bounds

This paper establishes the rigorous mathematical proofs and algebraic consistency of the constrained SO(3,3) multitemporal spacetime framework. First, we provide the tensor derivation of the extrinsic curvature singularity, demonstrating that continuous diffeomorphism inevitably...

Geometric Standard Model: Part IV. Dimensional Saturation, Isometric Rigidity, and Quark Confinement

Extending the topological heuristics of the 3+1+2 multitemporal metric, this paper explores the geometric limits of dimensional saturation, quark confinement, and the nature of the dark sector. By applying the principle of Local Time Freezing—whereby topological solitons act as a...

Geometric Standard Model: Part VI. Higgs Vacuum Elasticity, Isometric Rigidity, and the Manifold Rupture Threshold

In the constrained 3+1+2 multitemporal framework, the Higgs boson is not treated as an independent scalar particle, but as the macroscopic yield strength of the vacuum constraint field itself. Under the principle of Local Time Freezing, topological knots act as absolute rigid bod...

Mathematical Foundations of Constrained SO(3,3) Spacetimes: Part I. Isometric Embeddings and Topological Surgery

Multitemporal manifolds (e.g., SO(3,3)) are conventionally plagued by causality violations, pathological Cauchy problems, and the inevitable formation of closed timelike curves (CTCs). In this paper, we establish a rigorous differential geometric framework that resolves these pat...

Geometric Standard Model: Part V. Topological Surgery, Isometric Rigidity, and the Electroweak Mass Hierarchy

Building upon the constrained 3+1+2 multitemporal metric and the principle of Local Time Freezing, this paper reconceptualizes the weak interaction as "Topological Surgery"—the physical severing and reconnecting of fractional topological segments. By strictly applying 3D spherica...