Speaker
Description
Considering (unstable) Riemann space-time whose tangent space possesses NL
SUSY structure specified by the Grassmann coordinates ψα for SL(2,C) and the
ordinary Minkowski coordinates xa for SO(1,3). we can construct the unified vier
bein ˜ eaµ which enables the ordinary geometric argument of the general relativity(GR)
principle and obtain straightforwardly a new Einstein-Hilbert(EH)-type NLSUSY
invariant action LNLSGR = |˜ e|(R(˜ e) + Λ) (Nonlinear-supersymmetric general rela
tivity theory(NLSGR)) equipped with the cosmological term Λ and the promising
gauge symmetries.
Due to the NLSUSY structure of space-time LNLSGR would breaks down (called
Big Collapse) spontaneously to ordinary EH action of graviton eaµ, NLSUSY action
of Nambu-Goldstone(NG) fermion ψi,i = 1.2,..,N (called superon) and their grav
itational interaction called superon-graviton action LSGM(e,ψ).
Simultaneously the universal attractive force graviton would dictate the evolution
(vacuum) of LSGM by producing all possible gravitational-composites of superons
which correspond to the (massless ) eigenstates of the linear SUSY(LSUSY) SO(N)
super-Poincar´e(sP) algebra of space-time symmetry, which can be regarded as the
ignition of the Big Bang (model) of the universe and gives a new paradigm for the
supersymmetric unification of space-time and matter.
By the linearization of NLSUSY we show in the toy model that the ordinary
linear SUSY(LSUSY) model for the low energy particle physics can emerge in the
vacuum of LNLSGR/SGM,, where all particles are the (massless) superon-composite
eigenstates of LSUSY super Poincar´ e algebra.
NLSGR/ SGM paradigm can bridge naturally the cosmology and the low energy
particle physics, which provides new insights into unsolved problems of cosmology,
particle physics and mysterious relations between them, e.g. the space-time dimen
sion four, the origin of mass and SUSY breaking, the dark energy and the dark
matter, the dark energy density≈ (neutrino mass)4, the tiny neutrino mass, the
three-generations structure of quarks and leptons, the rapid expansion of space
time, the magnitude of the bare gauge coupling constant, matter dominance , the
shape of black hole etc.
Many open problems are discussed. All results are published separately. For more
details:
1. K. Shima, Invited talk at International Conference , 100 Years Werner Heisen
berg- Works and Impact-, September 26-30, 2021., Bamberg, Germany. Proceed
ings: Fortschr. Phys 50(2002) 5-7. 517-523, eds. D. Papenfuss, D. Luest and W. P.
Schuleich.
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, 20
