Dual gravitation of relativistic strings

Abstract

One of the main problems in modern theoretical physics is the formulation of a quantized description of gravitational interaction from general relativity. Recent developments in black hole physics show that this problem may be solved by incorporating the wave-particle duality in the gravitational theory which leads to a quantization in phase space. In this paper, we will apply this duality in tensionless relativistic strings theory as being a higher dimensional extension of the particle concept. We will show, by using the Dirac method of incorporating Hamiltonians constraints to the system, that the wave-particle duality relates the string´s local symmetry and equations of motion in presence of position dependent tensorial fields with local symmetry and equations of motion in presence of momentum dependent tensorial fields allowing the emerging of a dual gravitation of relativistic strings.