Research

This paper develops the idea that quantum and classical behaviors can be understood as different expressions of a deeper geometric relationship between continuity and discreteness. The approach reframes wave-particle duality as a scale and context-dependent expression of a single underlying structure, rather than as a fundamental discontinuity between models. The paper outlines several testable predictions about interference patterns, decoherence, and quantum correlations—patterns that emerge naturally once the continuous-discrete structure is treated as primary rather than derivative. Many of these predictions can be examined using existing experimental setups with minimal modifications.

This paper introduces a geometric model in which space-time exhibits an intrinsic toroidal structure, producing inner and outer spatial dimensions that shape how fields organize, propagate, and interact. Within this framework, familiar quantum features—coherence, symmetry behavior, and the emergence of localized states—arise from geometric relationships rather than from independent principles. The toroidal structure also provides the spatial context in which continuous–discrete duality manifests across scales. The paper concludes with testable predictions about field structure and measurement geometry that can be investigated using modified versions of existing experimental setups.

This paper develops the idea that fractal organization arises naturally from the same geometric principles underlying toroidal field structure and the continuous–discrete duality. Rather than treating self-similarity as a descriptive curiosity, the framework shows how repeating patterns across scales emerge from consistent structural relationships in field organization. The model suggests why similar forms appear from quantum systems to biological growth to galactic structure: not through coincidence, but because similar geometric conditions recur at different scales. The paper outlines testable predictions concerning pattern formation, cross-scale correlations, and transitions between organizational states, offering a unified context for understanding natural self-organization.

A conceptual framework for the measurement problem that treats observation as an intrinsic structural process rather than an external intervention. The paper examines how measurement arises from the interaction between two complementary aspects of reality — actualized structure and unrealized potential — and reframes time as the dynamic interface between them. Within this approach, “collapse” becomes a natural transition from potential configurations to actualized states, influenced by accumulated system history rather than by randomness alone. The framework yields testable predictions — including sequential-measurement correlations and history-dependent probability distributions — and provides a coherent account of entanglement, decoherence, and the emergence of classical behavior.