  Brane model of universe is considered for a free particle. Conservation laws
on the brane are obtained using the symmetry properties of the brane. Equation
of motion is derived for a particle using variation principle from these
conservation laws. This equation has a form of Klein-Gordon equation.
Comparison of squared Dirac-Fok-Ivanenko equation for a spin particle with
Klein-Gordon equation in curved space has given an expression for chiral spin
current variation through the derivative of spin connectivity. This chiral spin
current is anomalous spin current corresponding to spontaneous chiral symmetry
breaking of massive particle in the space of KG equation solutions.
