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 (v less than or similar to phi(12) = 10(-3) [m(2)/s]: strong interaction and electro-magnetic interaction) and violated in case of larger viscosity (v greater than or similar to phi(0) = 1 [m(2)/s]: weak interaction). We have also obtained the simple relation between the viscosity (v) of hadrons and the strength (alpha) of interactions; valpha = (1/10)phi(20) similar to (1/10)phi(24) similar or equal to 10(-6) similar to 10(-7) [m(2)/s], where the symbol phi denotes the golden ratio. These values (v and alpha) are shown to be reduced to the dimension of SO(n)[n = 4 + phi(3)]. (C) 2004 Elsevier Ltd. All rights reserved.