| 2025-04-23 | Towards a Quantum Unified Field Theory: The Special Orthogonal Gauge Group R(3)SO(3) in R^9, and Quantised Topological Electromagnetic Solitons
A. Vrba
A mathematical framework is introduced in which gauge symmetries and field interactions are unified through a higher-dimensional geometric structure. The special orthogonal gauge group R(3)SO(3), embedded in $\mathbb R^9$, supports a formulation where Maxwell’s equations, spatial quantisation, and interaction fields arise naturally from a shared underlying principle. At the core lies a system of field equations involving vector cross and dot operations that reproduce classical Maxwell behaviour while suggesting deeper topological and structural constraints. These field equations further imply a discrete geometry of space, potentially addressing questions of quantisation and field stability from first principles. This approach offers a mathematically smooth, singularity-free alternative to conventional Lie-algebra-based gauge theories, embedding known field laws in a structure that supports both unification and quantisation. In this setting, gravitational and weak interactions may be seen as emergent from symmetry breaking, while solitonic structures offer insight into particle structure, mass, and charge. The framework proposes a generalisation of gauge theory that invites further examination—both as a conceptual unification and as a constructive model for fundamental physical interactions. The special orthogonal gauge group R(3)SO(3)⊂R9 supports structured quantised topological solitonic solutions. The Maxwell equations emerge naturally and the framework suggests a nilpotent but causal universe, arising from internal symmetries and quantised structural charges. Full abstract ... BibLaTeX@Online{Vrba-2025-1965, |
| 2022-11-12 | Quantum nonlocality.
N. Sotina
Experiments with entangled particles and various interpretations of the experiments are usually combined under a common term 'Quantum Nonlocality'. This work analyzes the term of ‘nonlocality’ and gives brief overview of the known interpretations of the entangled particles paradox. A model of the physical vacuum as a superfluid is proposed. Structures forming in the superfluid physical vacuum that surround a particle can give explanation to the quantum entanglement phenomenon. This work analyzes the term of ‘nonlocality’ and gives overview of interpretations of the entangled particles paradox. A model of the physical vacuum as a superfluid is proposed. Structures forming in the superfluid physical vacuum that surround a particle can give explanation to the quantum entanglement phenomenon. Full abstract ... BibLaTeX@Article{Sotina-2022-1518, |