General relativity quantum gravity

Planck, in an attempt to rationalise the problems of quantum mechanics and gravity, noted that a unit of length could be derived from the fundamental constants that appear throughout general relativity ... 

In a separate contribution [11], we have analysed within the present framework an assessment of the various arrows of time and the possible symmetry violations instigated by gravitation including the fundamental problem of molecular chirality [12]. Other related developments involve Penrose s concept of objective reduction (OR), i.e. gravity s role in quantum state reduction and decoherence as a fundamental concept that relates micro-macro domains including theories of human consciousness [13], see also Ref. [3] for more details. Note also efforts to derive quantum mechanics from general relativity [14]. 

Vladimir A. Fock (1898-1974), Russian physicist, professor at Leningrad University (Saint Petersburg), led investigations on quantum mechanics, gravity theory, general relativity theory, and in 1930. while explaining atomic spectra, invented the antisymmetrizaHon of the spinorbitals product. 

The ultimate fate of matter inside the black hole s event horizon is as yet unknown. General relativity predicts that at the centre of the hole there is a singularity, a point at which the density becomes infinite and the presently understood laws of physics break down. It is possible that a successfol quantum theory of gravity could resolve this problem. However, since any singularity is hidden within the event horizon, it carmot influence the outside universe, so the normal laws of physics, including general relativity, can be used to describe processes outside the black hole. 

Even if cosmic censorship is not correct, singularities would not be seen experimentally if the singularities are removed by quantum gravity. It may be that in classical general relativity the cosmic censorship hypothesis is true for reasonable physical situations but that it is possible to construct counter-examples to it for various special situations. 

With all that is very interesting consider the possibility to have a computational model for which the gravitational field is the computer. This possibility can be explored both from the point of view of the general relativity as from the perspective of quantum gravity or more concretely from the optics of the loop quantum gravity. Here we introduce a computational model which is named gravitational topological quantum computation and we expect that our model results relevant for computer science both from the side of complexity theory as from the side of computability theory. 

In the past century theoretical physicists developed two fundamental theories the theory of gravity based on the concept of general relativity for stellar systems on large scales and quantum mechanics, developed to explain physical effects on small, i.e., atomic, scales. Quantum mechanics is inevitably coimected to Heisenberg s uncertainty principle and it is thus, by definition, a statistical theory. A quantum system is considered to be in a state ir t)), and its time evolution is described by the Schrodinger equation... 

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