Cite as:
Bar-Yam, Y. (2025). Oscillatory Spacetime as the Physical Origin of Spinors, Wavefunctions, and Quantum Measurement. Zenodo. https://doi.org/10.5281/zenodo.17981537
This paper develops a geometric and dynamical framework in which elementary quantum excitations arise from localized singularities of spacetime with an internal oscillatory degree of freedom. Spinorial structure, Weyl–Dirac dynamics, superposition, and measurement emerge from the geometry of this oscillation and its transport through spacetime, rather than being introduced as postulates. The work builds on and extends earlier ZM theory, offering a unified physical interpretation of spin, interference, and measurement.
Fig 1. Geometry of the screw-type spacetime singularity.
Right: The physical time coordinate becomes multi-valued near the singularity, forming a helical covering space. Encircling the defect once in space (θ = 2π) shifts the time coordinate by π, revealing the branch structure responsible for the 4π return property of spin-1/2 excitations.
Left: The total elapsed time during a spatial rotation is the sum of two effects: the singularity-induced branch shift (blue) and the intrinsic time evolution of the singularity itself (red). The operator Θ(θ/2) generates this intrinsic evolution, so the label Θ(θ/2) on the red curve denotes the dynamical rotation accumulated during a spatial rotation by angle θ. Both advancing time at a fixed spatial point and encircling the singularity move along the same helical temporal structure.