Kinetic Quantum Theory-Gravitation Unification: Towards Recovery and Extension of the Standard Model

Abstract

Kinetic Quantum Theory (KQT) is a local kinetic theory built from positive distributions, canonical SQF dynamics, and exact conservation laws. Previous constructions established the microscopic SQF pair $(s,J)$, its $4\pi$ topology, quantum limits, relativistic propagation, and the spacetime-SQF gravitational connection. Here the Standard Model (SM) is developed from the same kinetic architecture, with several usually assumed SM structures and parameters emerging from KQT dynamics. The principal results are: (i) the $4\pi$ topology generates the integer and half-integer rotational representations required for bosons and fermions; (ii) KQT invariants recover $SU(3)_c\times SU(2)_L\times U(1)_Y$ and the associated gauge connections; (iii) Landau--Fokker--Planck-like friction and diffusion generate chirality, the left-right asymmetry required by the weak interaction; (iv) finite KQT ordering produces an exactly massless photon and massive $W^\pm$ and $Z$ particles and recovers the observed SM hypercharge and electric-charge pattern with the chiral and anomaly conditions; (v) the same ordering generates fermion rest masses and quantitatively recovers the electron-muon-tau hierarchy on the factorized response families; and (vi) the same microscopic action extends these results to gravitational and cosmological KQT phenomena.The KQT chiral asymmetry, combined with the KQT invariant basis functions, recovers left fermions as $SU(2)_L$ doublets and right fermions as $SU(2)_L$ singlets, both carrying $U(1)_Y$ hypercharge, while defining quark and lepton particle types, antiparticles, and repeated-generation families. KQT ordering gives $Q=T_3+Y$ and, together with the chiral asymmetry and anomaly conditions, recovers $Y(Q_L)=1/6$, $Y(L_L)=-1/2$, $Y(u_R)=2/3$, $Y(d_R)=-1/3$, and $Y(e_R)=-1$, and hence the observed quark and lepton electric charges. For $r=1,2,\ldots$, the minimal factorized KQT spectrum is quadratic on each chiral component and, when $A_{\rm em}=1/\alpha$, gives $\Delta m_r^{(0)}/m_e=[3/(2\alpha)]r^4$. Using the electron mass as the sole dimensional normalization gives $m_\mu\simeq105.55~{\rm MeV}/c^2$ and $m_\tau\simeq1.786~{\rm GeV}/c^2$, within approximately $0.1\%$ and $0.5\%$ of observation, before constrained-equilibrium corrections. QT, QFT, gauge, particle, and gravitational responses thus arise from the same positive kinetic parent theory. The same action yields the KQT stress-energy tensor, gravity-mediated correlation tests such as BMV, additional photon-SQF propagation redshift, and possible SQF contributions to the inferred Hubble expansion history, while opening quantitative tests of flavor mixing, neutrino masses, stable generations, the scalar/Higgs pole, and additional particles.