Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-08-18
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, 2 figures. Important corrections. The empirical predictions following on the square redshift law are analysed in in
Scientific paper
Progress is reported on the development of a mathematical model based on the relationist principle that the position of an object can only be defined with respect to other matter. Formal propositions are presented, obeying quantum logic and describing hypothetical measurement results showing that quantum theory describes a physical model of sizeless particles in the absence of prior spacetime. A connection, called a teleconnection, is defined between initial and final states using teleparallelism. Quantum covariance is defined, to take into account that a change of apparatus is implicit in Lorentz transformation. A metric is described in terms of particle interactions, using a generalisation of Bondi's k-calculus. Schwarzschild is derived for an idealised system containing a single elementary particle in an eigenstate of position. Einstein's field equation is derived for systems containing many particles. The implications to the structure of black holes and to the horizon problem are discussed.
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