TAILIEUCHUNG - From microscopic gravitational waves to the quantum indeterminism

Based on an extended space-time symmetry a new attempt to search for links between general relativity and quantum mechanics is proposed. A simplified cylindrical model of gravitational geometrical dynamics leads to a microscopic geodesic description of strongly curved extradimensional space-time which implies a duality between an emission law of microscopic gravitational waves and the quantum mechanical equations of free elementary particles. Consequently, the Heisenberg indeterminism would originate from the time-space curvatures. | Communications in Physics, Vol. 25, No. 3 (2015), pp. 247-255 DOI: FROM MICROSCOPIC GRAVITATIONAL WAVES TO THE QUANTUM INDETERMINISM VO VAN THUAN Vietnam Atomic Energy Institute (VINATOM) and NEPIO Office, 59 Ly Thuong Kiet street, Hoan Kiem district, Hanoi, Vietnam E-mail: vvthuan@ Received 05 May 2015 Accepted for publication 11 September 2015 Abstract. Based on an extended space-time symmetry a new attempt to search for links between general relativity and quantum mechanics is proposed. A simplified cylindrical model of gravitational geometrical dynamics leads to a microscopic geodesic description of strongly curved extradimensional space-time which implies a duality between an emission law of microscopic gravitational waves and the quantum mechanical equations of free elementary particles. Consequently, the Heisenberg indeterminism would originate from the time-space curvatures. Keywords: time-space symmetry, microscopic gravitational waves, quantum indeterminism. I. INTRODUCTION A fundamental problem of physics is the consistency of quantum mechanics with general relativity. Kaluza and Klein [1, 2] were pioneers to propose a space-like extradimension (ED) which is to compact in a micro circle in a relation to general relativity. Klein and Fock [2, 3] also found a formalism that the equation of motion of a massive particle in 4D space-time can be obtained by reducing the EDs of a massless particle in a higher dimensional time-space. For the semi-classical approach to quantum mechanics introduced by de Broglie and Bohm [4, 5] the hidden parameters are somehow reminiscent of EDs. Later on, the evidence for violation of Bell inequalities [6, 7] abandoned the models with local hidden parameters, however, leaving the door open to non-local hidden variables. In the wake of high dimensional superstring models, another trend has been developed following the Kaluza-Klein geometrical dynamics, of which most applied space-like

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