What question did this study set out to answer?

This paper proposes that quantum spin represents the angular harmonic structure of brane-bulk wave modes.

June 8, 2026Open Access

Paper VIII: Quantum Spin as Angular Harmonics of the Brane Wave Modes

Key Points

This paper proposes that quantum spin represents the angular harmonic structure of brane-bulk wave modes.
Examines the relationship between quantum spin and brane wave modes at focal deceleration zones.
Utilizes an analogy with nuclear magnetic resonance (NMR) to discuss brane spin modes and their precession dynamics.
Demonstrates that half-integer spin arises from 4π rotation requirements (s=1/2), supporting the spin-statistics theorem.
Establishes the structural analogy between brane spin modes and nuclear spins in magnetic fields.

Abstract

Quantum spin is proposed to be the angular harmonic structure of the brane-bulk wave modes at focal deceleration zones. Electric charge is the radial mode (Paper VI); spin is the angular mode of the same wave. Half-integer spin (s = 1/2) arises from the requirement that the angular wave function return to its original state after a 4π rotation of the brane (a topological double-cover of SO(3)). Integer spin (s = 0, 1, 2...) corresponds to wave modes that close after 2π rotation. The spin-statistics theorem follows: half-integer spinors (fermions) are the fundamental matter constituents; integer- spin modes (bosons) are force carriers. The NMR/MRI analogy is structural: the brane spin modes precess under external sump gradients exactly as nuclear spins precess in a magnetic eld, with the T1/T2/T2* relaxation hierarchy governing the dephasing dynamics. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.

Paper VIII: Quantum Spin as Angular Harmonics of the Brane Wave Modes

Key Points

Abstract

Cite This Study