MG15 - Talk detail

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Abstract

The cosmological constant would be fundamentally related to the quantum nature of spacetime. It has been proposed that the equivalence principle of quantum gravity should be introduced as the symmetry in quantum gravity to reconcile quantum mechanics and general relativity. Such symmetry extends the equivalence principle of general relativity to the observer frames of reference which are in quantum mechanical motions. That means the quantum state of a particle is relative to the observer frame which can also be itself in a quantum mechanical state. As a consequence, all the physical laws apply not just to the frames of reference in any kind of classical motion as in general relativity but also the same in the reference frames in quantum mechanical motions as well. The classical space-time concept therefore requires to be modified. Under such symmetry, the quantum gravity should be formulated in quantum space-time-matter space under the conformal symmetry. In this talk, we will further explore the formulation of the quantum space-time-matter geometry for discussing the relationship between the cosmological constant and quantum gravity as well as its connection with Higgs condensate that would explain the nature of cosmological constant. Furthermore, such formulation implies that the mass spectrum of fundamental particles is related to the cosmological constant and the mass formula will be discussed.

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