Background independent geometry versus Backgound dependant Geometry One of the fundamental difficulties in unifying Quantum Mechanics with Einstein’s General Theory of Relativity is that one is background independent while the other is not Einstein tells us gravity alters the geometry of space-time Einstein tells us the geometry of space evolves with time and the laws of nature have to be expressed in a form that does not assume that space has a fixed geometry. However, present quantum theories can only be formulated in a fixed geometric background This is why, one of the problems physicists encounter in defining quantum gravity is that present quantum mechanical models are background independent while Einstein tells us that gravity is not Thus , this is not possible if one defines the universe in terms of four-dimensional space-time because Einstein defined energy/mass in terms of the interdependence of space and time and therefore one could not separate gravity from its quantum mechanical properties Need your help to shed some light on it thank you ….
Posted on: Sun, 09 Mar 2014 16:06:45 +0000
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