International Association for
Relativistic Dynamics

Abstract

We show that the basic properties of a spin-zero quantum field (e.g. Klein-Gordon equation, Schrodinger's equation, probability density, second quantization, etc.) can emerge from a system with vibrations in space and time. The internal time of this system can be represented by a self-adjoint operator. The spectrum of this operator is unbounded and not restricted by Pauli's theorem. Also, the particle observed has oscillation in proper time. By neglecting all quantum effects and assuming the particle as a classical object that can remain stationary in space, we show that the proper time oscillator can mimic a point mass at rest in general relativity. The spacetime outside this proper time oscillator is static and satisfies the Schwarzschild solution. To measure the temporal oscillation, neutrino can be an interesting candidate because of its extremely light weight.