Institution
KROK University
Recent research
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...
- Physics & SpaceOpen access
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...