On the Microscopical Structure of the Classical Spacetime
Abstract
Description
Our purpose here is to introduce the idea of viewing the spacetime as a macroscopic complex system which, consequently, cannot be directly quantized. It should be thought of as a collection of more fundamental "microscopical" entities (atoms of geometry), much like a solid system, in which an atomic (classical) structure must be first recognized in order to ensure a correct and meaningful quantization procedure. In other words, we claim that the classical limit from a quantum theory of gravity could not give a four dimensional Einstein spacetime directly, but requiring {\it a further} macroscopical limit. This is analogous to a material medium, whose complete description does not come from any quantized field.
We also discuss a possible realization of this hypothesis for black hole spacetimes.
This note contains the conceptual framework of the essay presented in the Gravity Research Foundation Competition, 2004
This note contains the conceptual framework of the essay presented in the Gravity Research Foundation Competition, 2004