Cosmology

Vladimir Trifonov       Category and topos theory in physics; compatibility of general relativity and quantum mechanics, monocosm (axiomatic approach to quantum gravity)  

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   GR-friendly description of quantum systems, Int. J. Theor. Phys. 47 (2) (2008) 492-510.

Despite what you sometimes see in popular science literature, theoretical physics does not deal with the observed universe directly. Instead, it delivers theories to experimental physics whose job is then to establish if the observed universe constitutes a model of the theories by checking the predictions of a theory against properties of the observed universe.
At the most fundamental level there are three empirically established properties of the observed universe:

bullet Four-dimensionality of spacetime.
bulletExistence of a metric on spacetime.
bulletLorentzian signature of the metric.

It is difficult to overestimate the importance of these properties on which virtually every human endeavor (including physics, chemistry and biology) is based, and a necessary (but not sufficient) condition for a theory to qualify as fundamental is to provide theoretical justifications (explanations) for these fundamental properties. Yet within the contemporary (Einstein-Heisenberg) paradigm there are none, so they have to be incorporated into two main theories of the paradigm (quantum mechanics and general relativity) as axioms. For this reason, in particular, the two theories are considered just effective, not fundamental, which motivates, in part, the enterprise known as the search for quantum gravity.

 
 
 

In practice physicists often use somewhat different terminology - theories themselves are called models of the observed universe, whose viability can be quantified by the number of theoretical justifications  for empirically established properties and the number of testable predictions

The monocosm (model), whose technical aspects are given in the above paper offers a very specific cosmological model  of the observed universe, with the following characteristics:
bulletIt provides theoretical justifications for the fundamental properties above.
bulletIt incorporates a generalization of standard quantum mechanics and thus inherits the predictive power of the latter.
bulletIt predicts a spatially closed universe.
bulletIt predicts a non-geodesic flow along preferred directions.

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The above paper is copyrighted and downloads are permitted for personal study only. For any other use please contact the author and/or the publisher.

 

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