Nine theorems on the unification of quantum mechanics and relativity

Unification of Quantum Mechanics with the Relativity Theory, Based on Discrete Conservations of Energy and Gravity

کوانتش گرانش و بررسی هندسی مکانیک کوانتمی

  We elaborate on some recent results on a solution of the Hilbert-space problem in minisuperspace quantum cosmology and discuss the consequences of making the (geometry of the) Hilbert space of ordinary nonrelativistic quantum systems time-dependent. The latter reveals a remarkable similarity between Quantum Mechanics and General Relativity.

Noncommutative unification of general relativity with quantum mechanics and canonical gravity quantization

The groupoid approach to noncommutative unification of general relativity with quantum mechanics is compared with the canonical gravity quantization. It is shown that by restricting the corresponding noncommutative algebra to its (commutative) subalgebra, which determines the space-time slicing, an algebraic counterpart of superspace (space of 3-metrics) can be obtained. It turns out that when ...

Towards a framework for possible unification of quantum and relativity theories∗

We put forward a framework, inspired by recent axiomatic and operational approaches to generalized quantum theories, wherein we investigate the possibility of unifying quantum theories and relativity theories. The framework concentrates on a detailed analysis of a general construction of reality, that can be used in both, quantum and relativity theories. By means of this construction of reality...

Particle -unparticle Duality in Super-relativity

New method of shaping quantum “particle unparticle” vacuum excitations has been proposed in the framework of unification of relativity and quantum theory. Such unification is based solely on the notion of generalized coherent state (GCS) of N-level system and the geometry of unitary group SU(N) acting in state space C . Initially, neither contradictable notion of quantum particle, nor space-tim...