From Chaos to Cosmos: A Spiral Genesis of Spin and the Universe

We propose that quantum spin emerges from spiral motion triggered by random collisions in a primordial high-entropy chaos. Over cosmic timescales (\( 10^9 \) years), with \( N \approx 10^{80} \) particles, a single spiral—however improbable (\( 10^{-30} \))—inevitably ignites, cascading via \( P(t) = 1 / (1 + (N-1) e^{-\nu \eta t}) \) to a collective state. This yields angular momentum \( L \approx 0.864 \hbar \), akin to spin (\( S = \frac{\sqrt{3}}{2} \hbar \)), with wave-particle duality (\( \lambda_z = h / (m v_z) \), \( d = v_z \cdot 2\pi r / v_\perp \)). Distinct from relativistic or magnetic origins, this kinetic model suggests spin seeded cosmic order, its periodicity hinting at cyclic rebirth akin to Penrose’s aeons. Philosophically, it mirrors Heraclitus’s flux and Nietzsche’s recurrence, framing existence as chaos’s inevitable artwork. Testable via simulations (\( L \approx \hbar/2 \)), electron diffraction (\( l \approx 0.5 \)), and cosmological collision rates, this unites microphysical spin with cosmic fate, redefining origins through randomness’s creative dance.