Space-time symmetry, chaos and E infinity theory

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<∼phi12=10-3 [m2/s]: strong interaction and electro-magnetic interaction) and violated in case of larger viscosity (ν>∼phi0=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)phi20∼(1/10)phi24≅10-6∼10-7 [m2/s], where the symbol phi denotes the golden ratio. These values (ν and α) are shown to be reduced to the dimension of SO(n)[n=4+phi3]