Space–time symmetry, chaos and E infinity theory

Abstract

Abstract We have studied the space–time symmetry of many-body systems, such as nucleon and quark systems, on the basis of chaos, viscous and E infinity theory. The mechanism of the space–time symmetry violation is attributed to the instability of chaotic orbit. The magnitude of space–time symmetry violation depends on the viscosity of many-body systems. We have shown that space–time symmetry is conserved in case of smaller viscosity (ν≲φ12=10−3 [m2/s]: strong interaction and electro-magnetic interaction) and violated in case of larger viscosity (ν≳φ0=1 [m2/s]: weak interaction). We have also obtained the simple relation between the viscosity (ν) of hadrons and the strength (α) of interactions; να=(1/10)φ20∼(1/10)φ24≃10−6∼10−7 [m2/s], where the symbol φ denotes the golden ratio. These values (ν and α) are shown to be reduced to the dimension of SO(n)[n=4+φ3].