Speaker
Description
Considering (unstable) Riemann space-time whose tangent space possesses NLSUSY structure, i.e., specified by Majorana spinor(fermionic coordinates) ψαi (i=1…N) for SL(2,C) besides the ordinary Minkowski coordinates xa for SO(1,3) we find the unified vierbein waμ and performing the ordinary geometric argument of the general relativity we obtain straightforwardly new Einstein-Hilbert(EH)-type action (Nonlinear-supersymmetric general relativity(NLSGR)) LNLSGR (waμ) with the cosmological term and the global NLSUSY invariance. Due to NLSUSY structure of space-time LNLSGR (waμ) would collapse(Big collapse) producing the ordinary EH action for graviton eaμ, NLSUSY action for Goldstone(G) fermion ψαi (fundamental matter, superon) and their gravitational interaction described by superon-graviton action LSGM. (eaμ ψαi ), which is the vacuum configuration of NLSGR. Simultaneously the universal attractive force graviton would dictate the evolution(vaccum) of LSGM (eaμ, ψαi) by producing all possible gravitational composites of superons corresponding to the LSUSY (massless) supermultiplet fields of SUGRA, which may be regarded as the ignition of the Big Bang of the universe.
As shown in the simple toy model, the (algebraic) linearization of NLSUSY in SGM shows that the ordinary LSUSY model can emerge in the vacuum of NLSGR(SGM) as the composite of superons. NLSGR(SGM) paradigm bridges naturally the cosmology and the low energy particle physics, which provides new insights into unsolved problems of cosmology, SM and mysterious relations between them, e.g. the space-time dimension four, the origin of SUSY breaking, the dark energy and the dark matter, the dark energy density≃( neutrino mass)4, the three-generations structure of quarks and leptons, C-asymmetry of Nature, the rapid expansion of space-time and the fate of black hole and the universe.
All results were published separately. For some references,
[Ref.]
[1] K. Shima, Phys. Lett. B501, (2001).
K. Shima, Invited talk at the symposium, 100 Years Werner Heisenberg-Works and Impact-, September 26-30, Bamberg, Germany. Proceeding: Fortschr. Phys. 50 (2002) 5-7, 717, eds. D. Leust and W. Schleich.
[2] K. Shima, Invited talk at Conference on Cosmology, Gravitational Waves and Particles ,2017, NTU, Singapore (Uploaded at YouTube by IAS). Proceedings of CCGWP, ed. Harald Fritzsch, (World Scientific, Singapore, 2017), 301.
[3] K. Shima, Temporal preliminary report: arXiv:2012.01646[hep-th]