Promenading in the enchanted realm of Kronecker powers: single monomial probabilistic evolution theory (PREVTH) in evolver dynamics

Abstract

This paper takes a CMMSE 2107 proceedings paper about “Highest Monomiality Based Probabilistic Evolution Theory (PREVTH)” as starting point. The focus is again set of ODEs but, this time, not on function unknowns. Instead, we deal with the temporally evolving operators, quantum mechanics’ Heisenberg picture entities we call evolvers. Our work here uses the degree changing possibilities in Kronecker powers of vectors by using so-called constancy adding space extension. Beyond the degree escalation, vanishing expression addition is also used to introduce certain arbitrary parameters and therefore to increase the flexibility in the single monomial coefficient matrix. These two issues have been deeply investigated to learn how to get single monomiality in highest degree additive term. So, the PREVTH previous-to-this paper, somehow arrested by the conicality, has now been emancipated to single monomiality which is certainly much more relaxed than before.