Natural beauty of the standard model -A derivation of the electro-weak unified and quantum-gravity theory without assuming a Higgs particle-

Abstract

We study the asymptotic behavior of a singular potential, and discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation. In our view, gravity and the weak force are subsidiary, derived from electricity. Particularly, $SU(2)_L\times U(1)$ unification is derived from the $L^2$ normalizability condition, without assuming a phase transition. A possible origin of the Higgs mechanism is proposed. Each particle pair of the standard model is associated with the corresponding asymptotic expansion of an eigen function. Next we consider the meaning of internal and external degrees of freedom for a 2 body problem, and find a complex U(1) phase of spins, which can not reduce to the local motion of an external observer. These degrees of freedom are inherent to the Poincar\'{e} group, and can be expressed in terms of asymmetric spinor representations. We try to derive all gauge fields via this nonintegrable complex U(1) phase. As a spin-off, supersymmetry is regarded as a kind of Mach's principle for spinning frames-or the Ptolemaic (geocentric) theory to confuse a rotating frame with an inertial frame. Furthermore, we review classical experimental backgrounds for general relativity, and discuss possible solutions for paradoxes in quantum gravity. Taking angular momentums into account to improve above discussions, we can explain the smallness of neutrino mass without assuming the see-saw mechanism. A natural geometric interpretation of the quark flavor mixing angle is added in the Conclusion.