Dynamic quantum theory of large additional dimensions

摘要

Brane model of universe is considered for mass-less particle. Conservation laws inside the brane are obtained using the symmetry properties ofthe brane. Equation of Wheeler - de Wilt type is derived for mass-less particle using variation principle from these conservation laws. This equation includes term accounting the variation of brane topology. Solutions are obtained analytically at some simplifications and the dispersion relations are derived for frequency of wave associated with the particle.