Preprint Article Version 1 This version is not peer-reviewed

The Cosmological Constant Problem and Quantum Spacetime Reference Frame

Version 1 : Received: 17 October 2017 / Approved: 17 October 2017 / Online: 17 October 2017 (11:27:50 CEST)
Version 2 : Received: 2 November 2017 / Approved: 2 November 2017 / Online: 2 November 2017 (06:52:53 CET)
Version 3 : Received: 28 December 2017 / Approved: 28 December 2017 / Online: 28 December 2017 (07:38:53 CET)
Version 4 : Received: 18 March 2018 / Approved: 19 March 2018 / Online: 19 March 2018 (10:33:12 CET)

How to cite: Luo, M. The Cosmological Constant Problem and Quantum Spacetime Reference Frame. Preprints 2017, 2017100114 (doi: 10.20944/preprints201710.0114.v1). Luo, M. The Cosmological Constant Problem and Quantum Spacetime Reference Frame. Preprints 2017, 2017100114 (doi: 10.20944/preprints201710.0114.v1).

Abstract

We generalize the idea of quantum clock time to quantum spacetime reference frame via physical realization of a reference system by quantum rulers and clocks. Omitting the internal degrees of freedom (such as spins) of the physical rulers and clocks, only considering their metric properties, the spacetime reference frame is described by a bosonic non-linear sigma model. We study the quantum behavior of the system under approximations, and obtain (1) a cosmological constant valued (2)ρc0 (ρc0 the critical density at near current epoch) which is very close to the observations; (2) an effective Einstein-Hilbert term in the effective action; (3) the ratio of variance to mean-squared of spacetime interval tends to a universal constant 2in the infrared region. This effect is testable by observing a linear dependence between the inherent quantum variance and mean-squared of the redshifts from cosmic distant spectral lines. The proportionality is expected to be the observed percentage of the dark energy. We also generalize the equivalence principle to be valid for all quantum phenomenon.

Subject Areas

cosmological constant problem; non-linear sigma model; quantum gravity

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