Spinor Vibration:From Half-Angle Rotation to Spectral Generators andBoundary-Defined Observables
Chuanjie Dai
“Vibration” is often pictured as a scalar displacement on a geometric shape. This paper develops an alternative primitive: spinor vibration—the modal dynamics of a spinor field governed by a Dirac-type spectral generator. We argue that spinor vibration provides a natural bridge between three recurring pillars of modern physics: (i) rotation as instruction (the imaginary unit as a phase-rotation command), (ii) boundary before bulk (observables are defined through access maps and interface projectors), and (iii) spectrum before geometry (the operator and its eigenmodes are more transferable than coordinate pictures). After introducing a minimal operator–spectral setup on spin manifolds and in effective condensed matter geometries, we show how half-angle spin rotations, Berry phases, and edge-mode selection arise as direct consequences of the spinor representation. We then propose an audit ready measurement pipeline (world → record → invariant) for spinor vibration, including environment-dependent coupling via a bounded medium factor and explicit falsifiability hooks through spectra, coherence, and boundary control
•Dec 20, 2025•0 citations