TITLE:
(4 + 4)-Dimensional Space-Time as a Dual Scenario for Quantum Gravity and Dark Matter
AUTHORS:
Brandon Mariano Martínez-Olivas, Juan Antonio Nieto, Andrés Sandoval-Rodríguez
KEYWORDS:
(4 + 4)-Dimensions, Dark Matter, Quantum Gravity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.3,
March
9,
2022
ABSTRACT: In this work, we make a number of proposals to explain how a world of (4 + 4)-dimensions can be useful for a better understanding of both dark matter and quantum gravity. The key idea is to look for some advantage of considering self-dual invariants in (4 + 4)-dimensions rather than in a separate context of (1 + 3)-dimensions or (3 + 1)-dimensions. In fact, we show that by considering the duality concept in (4 + 4)-dimensions we may provide an alternative meaning of a framework for loop quantum gravity. Moreover, considering the Dirac equation in (4 + 4)-dimensions for a particle without electric charge and mass, we show that when it is projected into the (1 + 3) and (3 + 1)-worlds may describe a system with electric charge and mass. We also discuss the relation between the three physical scenarios; (4 + 4)-world, black-holes and dark matter.