Recovery of the Gravitational and Particle Sectors in Dynamic Theory

Dynamic Theory is a five-dimensional theory in which geometry comes from thermodynamics: the three laws give a Lorentzian Weyl geometry whose fifth coordinate measures mass density. General relativity and particle physics were said to follow, but the derivations stop short. We complete them under conservation of mass, the vanishing of the fifth velocity component, imposed on the geometry as well as on matter. For gravity, an adopted action of Weyl’s form gives the five-dimensional Einstein equations, and conservation of mass picks out surfaces on which, with the mass axis orthogonal and of fixed scale, they reduce exactly to Einstein’s, with γ_PPN = β_PPN = 1, geodesic motion and gravitational radiation matching the orbital decay of PSR B1913+16 to 0.2%. For particles, it is a no-flux boundary at the end of the mass axis. As in domain-wall constructions, it binds one chiral zero mode of the five-dimensional Dirac field, on which an adopted charged current has the V−A form, and two such fields form a lepton doublet; the hand is chosen. The gauge fields are four-dimensional, and gauge dynamics and the Higgs sector are adopted from the Standard Model. The quantum condition makes the charge of every colour singlet an integer multiple of the electron’s; with the measured neutron charge selecting zero, neutrons and neutrinos are exactly neutral. Heavy partners along the mass axis are bounded.