Relativistic Spinor Structure from Coherent Bipolar Response in ECSM: A Dirac-Sector Bridge

This paper develops a Dirac-sector bridge within the Emergent Condensate Superfluid Medium (ECSM) framework. Previous ECSM work proposed that physical law, spacetime geometry, matter, and quantum behaviour emerge as coherent-limit structures of a finite-response medium. In that sequence, stable localised excitations arise as finite-energy minima of an ECSM stability functional, while bipolar internal response structure provides a route to charge-like imbalance, two-state coherent orientation, SU(2) symmetry, Pauli algebra, Born projection weights, exchange antisymmetry, and Bell-type correlations. The present work asks whether this nonrelativistic Pauli/SU(2) quantum chain admits a relativistic completion. In standard physics, the Dirac equation arises when one requires a first-order relativistic quantum equation whose square recovers the relativistic energy-momentum relation. This requirement forces the Clifford algebra of gamma matrices and naturally introduces spinor structure, antiparticle branches, and relativistic fermionic propagation. In ECSM, this paper reinterprets the Dirac/Clifford structure as