Abstract

The possible existence of a microscopic uncertainty principle in time due to the uncertain tuning between a particle's sense of time (a particle being a microuniverse) and the frame of synchronous observers (the synchronous observers being described by an averaged out macroscopic time) suggests that the usual quantum formalism be modified to encompass this feature by allowing time derivatives to be replaced by discrete time differences. Such an alteration leads to a formalism that fits into a general mathematical structure described by Hadronic Mechanics. The consequences of such a generalization of Quantum Mechanics leads to high field modifications of spin-polarization precession frequencies, modifications of spin-resonance frequencies, modifications of spin-slip frequencies and special shifts in emission frequencies of systems that contain internal non-conventional characteristics such as dyon-dyon interactions, extra internal dimensions and extra compact dimensions. Such internal properties of elementary particles might provide excellent probes to compositeness which might provide more well defined evidence for sub-structure than the usual probes of anamalous magnetic moments, modifications of form factors and rare decays.