Oscillatory Spacetime as the Physical Origin of Spinors, Wavefunctions, and Quantum Measurement

We develop a physical framework in which the elementary excitations of quantum theoryarise as localized singularities of spacetime endowed with a rapidly cycling internaloscillation. The singularity forces a closed-loop internal motion defined on a two-sheetedcover of spatial rotation, making the internal time intrinsically double-valued. Thisgeometric structure enforces the spinorial $4\pi$ rotation law and supplies the four fundamentaloscillatory modes—two spatial circular windings and two temporal windings—from which theWeyl and Dirac equations emerge as the minimal linear evolution laws. The spinor is thusnot an algebraic postulate but the natural representational encoding of the internalgeometry of a singular spacetime excitation. The internal oscillation travels along a curved worldline, forming a helicalspacetime trajectory whose drift, chirality, energy sign, and mass all arise from thegeometric coupling between internal rotation and external motion. Promoting the internalstate to a spatial spinor field provides a mesoscale representation of the excitation’sinternally coherent “clock–gyroscope’’ state across space, enabling superposition andinterference without requiring the excitation itself to be spatially extended. Measurement is interpreted as a localized collision between the singularity and anapparatus. The outcome corresponds to geometric mode selection between the internaloscillation and the detector’s own dynamical modes, while detection probabilities arisefrom the spatial spinor field evaluated over the mesoscale region of interaction. Interferencerequires temporal coherence of the detector rather than multi-path propagation of a spatialwave, and the familiar quantum statistics emerge from the distribution of localizedworldline collisions across repeated trials. This singularity-based framework reproduces the empirical content of quantum mechanicswhile replacing its postulates with concrete dynamical and geometric principles. It unifiesspin, chirality, particle–antiparticle structure, interference, and measurement within asingle spacetime mechanism, and it provides experimentally testable deviations from standardquantum theory in regimes where detector coherence or worldline geometry is altered.