Dual Tetrad Gravity And The Field Origin

The companion paper derived the gravitational constant G from spacetime topology with 0. 12% accuracy and zero free parameters. This paper asks what else the same geometric structure determines. The (3+1) ² dual tetrad topology, two tetrahedra with opposite orientations coupled at a shared Field Origin, produces four quantitative results. (1) G from the coupling hierarchy alpha^1+ (3+1) + (3+1) ², where changing the exponent by +/-1 shifts the prediction by a factor of 137. (2) The force hierarchy: gravity couples through 21 levels, electromagnetism through 1, giving alpha^20 ~ 10^-43. (3) The dark matter correction factor mu (x) = x/ (1+x), derived from detailed balance in field closure, with characteristic acceleration a₀ = k² G mₑ / rₑ² (where k = 4 is the tetrahedral coupling number, mₑ the electron mass, and rₑ the classical electron radius) matching observation to 0. 41%. This modifies gravity from 1/r² to 1/r at galactic scales, explaining flat rotation curves without invisible mass. (4) The electron mass, from three overdetermined equations spanning gravity, cosmology, and electromagnetism, yielding mₑ to 0. 1% with no free parameters. The topology also provides geometric interpretations of known physics: the inverse square law from three-dimensional field spreading, E = mc² from two closure speeds in the bimetric structure, spin hbar/2 from the stellated octahedron's face ratio (2 of 8 faces point toward the coupling center), the uncertainty principle from the same face ratio, energy quantization from Field Origin boundary conditions, and 1/alpha = 137 as the ratio of field closure rate to Compton frequency. The only external input is the Hubble constant H, a cosmological observable. The cosmological constant, strong force, and weak force are not addressed. The framework connects to established bimetric gravity through the Hassan-Rosen action in vielbein form, with the topology constraining the interaction parameters. Physical law is not arbitrary; behind the equations lies structure.