arXiv subjects

Miyuki Nishikawa

Publications and source records attributed to Miyuki Nishikawa.

4 recordsLinked to original sources

arXiv2009

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

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 Poincaré 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.

hep-th↗

arXiv2003

Alternative to Higgs and Unification

In this paper, we discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation, and then discuss a natural possibility that gravity and weak coupling constants g_G and g_W may be defined after g_{EM}. In this point of view, gravity and the weak force are subsidiary derived from electricity. Particularly, SU(2)_L * U(1) unification is derived 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.

hep-th↗

arXiv2002

Quantum Gravity with Minimal Assumptions

The purpose is to construct the quantum field theory including gravity, based on physical assumptions as few as possible. Up to now, the work by Prof. Steven Weinberg probably suits this purpose the most. Though the purpose is difficult to reach, my recent preprint was interested in an exceptional case caused by singularity. Therefore, I'd like to explain the motivations and possible applications of the preprint.

hep-th↗

arXiv2002

Renormalization and Essential Singularity

In usual dimensional counting, momentum has dimension one. But a function f(x), when differentiated n times, does not always behave like one with its power smaller by n. This inevitable uncertainty may be essential in general theory of renormalization, including quantum gravity. As an example, we classify possible singularities of a potential for the Schrödinger equation, assuming that the potential V has at least one $C^2$ class eigen function. The result crucially depends on the analytic property of the eigen function near its 0 point.

hep-th↗