In this paper, we propose an alternate interpretation of the quantum theory using objective physical reality that does not depend on the conventional probability interpretation.As typical physical phenomena for the probability interpretation, we consider the single-photon interference, single-electron interference, and EPR correlation experimentsusing photon polarization. For the calculation using the alternate interpretation, the minus sign derived from the covariant quantization of Maxwell’s equations,which is associated with the scalar potential of time axis component of four-vector, is taken as it is as an inevitable request from the theory. In addition, geometrical phaseis incorporated, which can be recognized as a kind of scalar potential. We show that both conventional and alternate interpretation derive the identical calculation resultsfor these single photon, single electron interference, and EPR correlation.These alternate calculation processes describe that there is a kind of scalar potential in whole space-time and when there is some geometrical arrangement in thespace, the scalar potential forms the oscillatory field of the potential according to the arrangement. It reveals the objective physical reality that the single-photon,single-electron interference, and EPR correlation are generated by the movement of the photons and electrons in the oscillatory field with interference.In addition, we show that the oscillatory field formation of the scalar potential depending on the geometrical arrangement causes energy fluctuation in the space,which enables removal of infinite zero-point energy and causes spontaneous symmetry breaking and Casimir effect. By recognizing the electromagnetic field as anunitary U(1) gauge field and generalizing it to a special unitary SU(2), we also show the uncharged particle, e.g. neutron, interferences are generated by the geometricalarrangement of the SU(2) gauge field or geometrical phase. Furthermore, we discuss the origin of the scalar potential by distinguishing the space where the substanceexists and the vacuum.Finally, by introducing the extended Lorentz gauge, we propose the alternate solution without physical state and subsidiary condition for the contradiction between Lorentz gauge as an operator equation and the commutation relation in the covariant canonical quantization of Maxwell’s equations with the conventional Lorentz gauge.This paper contains the compilation of published author’s papers cite{Morimoto1,Morimoto2} in addition to featured discussions such as the physical reality, uncharged particle interference,geometrical phase and alternate proposal for the contradiction between Lorentz gauge as an operator equation and commutation relation.