Imaginary Part of Action, Future Functioning as Hidden Variables

Abstract

Beginning with a review the logically first stages in the project of Random Dynamics, hoping for all laws nature being emergent, we also review what can be considered a consequence of Random Dynamics, a model—by myself and Masao Ninomiya—, which in principle predicts the initial conditions in such a way as to minimize a certain functional of the history of the Universe through both past and future. This functional is indeed the imaginary part of the action, which exists (only) in our model of complex action. The main point of the present is to suggest this complex action model to be also helpfull in solving some problems for quantum mechanics. Especially as our model almost makes it possible in principle to calculate the full history of the universe, it even makes it in principle calculable, which one among several measurement results in a quantum experiment will actually be realized!Our “complex action model” thus is a special case of superdeterminism—in Bells way—and does not have true causality, but rather even in some cases true backward causation. In fact we claim in our model that the SSC(Superconducting Supercollider) were stopped by the US Congress due to the backward causation from the big amounts of Higgs particles, which it would have produced, if it had been allowed to run. The noumenon (“das Ding an sich”) in our model is the Feyman path integrand or better some fundamental quantities determined from second order effects of the latter integrand. The quantum mechanics interpretation here is strongly similar to the much criticized “transactional interpretation” by John Cramer (Rev. Mod. Phys. 58:647–688, 1986), but we might respond to some of the criticism.