Gauge and Scalar Bosons as Collective Modes of the Primordial Mass-Torsional Condensate: A Topological Derivation in G-MaTT — and Why Supersymmetry Cannot Exist

Abstract We derive all known bosons—photon, $W^\pm$, $Z^0$, gluons, Higgs, and graviton—from the synchronized branch condensate of the primordial mass-time torsional potential $\mathcal{M}_\mu$ in Generalized Mass as Twisted Time (G-MaTT). While fermions arise as stable topological knots in the emergent field $\hat{M}_\mu$, bosons emerge as collective excitations: Gauge bosons = Goldstone modes of broken branch-phase symmetry ($U(1)\times SU(2)\times SU(3)$), Higgs boson = amplitude (Higgs) mode of the synchronization order parameter $\langle \Phi \rangle = v(t) \bigoplus_{k\in\mathcal{S}} e^{i\phi_k}$, Graviton = torsion-wave in the entanglement metric $g_{\mu\nu} \propto \langle \hat{M}_\mu \hat{M}_\nu \rangle - \langle \hat{M}_\mu \rangle \langle \hat{M}_\nu \rangle$. Crucially, no supersymmetric partners can exist in G-MaTT—because: 1. Spacetime dissolves beyond $\Omega_0 = c^5/\hbar G$ (The Geometric Boundary…, Sec. 4); 2. The SUSY algebra $\{Q, \bar{Q}\} \sim \gamma^\mu P_\mu$ requires a smooth Poincaré manifold at all scales—which does not exist in G-MaTT; 3. Fermions and bosons are topologically distinct phases (knots vs. phonons), not superpartners of a common superfield. This framework predicts: Exactly one photon, three weak bosons, eight gluons, one Higgs—no generations, no $Z'$, Higgs self-coupling $\lambda = 0.130 \pm 0.005$ (from TUT criticality), Graviton coupling $\kappa_g = \sqrt{32\pi G}$ derived, not postulated. G-MaTT resolves the boson sector not by extension, but by geometric necessity — without extra fields, dimensions, or symmetries.