
We investigate the dynamical origin of spin and spinorial structure within a metric-affine coherent substrate framework, in which particle-like states are interpreted as localized coherent configurations.While previous works established the emergence of spectrum and interaction structure from the dynamics of such configurations, the origin of half-integer spin remained open.In this work, we show that spin arises from the ribboned structure of vorton configurations, characterized by a non-trivial framing degree of freedom.This structure induces a projective identification in configuration space, leading to a coupling between internal phase and framing variables. The resulting effective Hamiltonian exhibits a fractional shift inthe conjugate momenta, which generates both integerand half-integer sectors upon quantization.We demonstrate that spin-1/2 emerges as a direct consequence of this dynamical mechanism, without imposing spinorial representations at the fundamental level. The internal structure admits a naturalalgebraic description in terms of an emergent SU(2) symmetry, whose generators arise from the quantized internal dynamics.Furthermore, we show that the resulting spinorial degrees of freedom couple naturally to the effective connection derived from the affine geometry, providing a unified description in which spin and interaction share a common geometric origin.The framework remains effective and applies in the coherent regime of the substrate. These results complete the program of deriving particle properties from the dynamics of a metric-affine coherent substrate, establishing a consistent origin for spinalongside mass and interaction structure.
Theoretical physics, phisics
Theoretical physics, phisics
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