A field equation for induction-transduction of activation-deactivation probability on measurable space
Abstract
Induction-transduction of activating-deactivating points are fundamental mechanisms of action that underlie innumerable systems and phenomena, mathematical, natural, and anthropogenic, and can exhibit complex behaviors such as self-excitation, phase transitions, hysteresis, polarization, periodicity, chaos, wave behavior, geometry, and energy transfer. We describe a class of primitives for induction-transduction based on dynamics on images of marked random counting measures under graphical random transformations. We derive a field equation for the law of the activation-deactivation (Bernoulli) process on an arbitrary measurable space and describe some mechanisms of action on the unit interval.
Keywords
Cite
@article{arxiv.2206.01747,
title = {A field equation for induction-transduction of activation-deactivation probability on measurable space},
author = {Caleb Deen Bastian and Herschel Rabitz},
journal= {arXiv preprint arXiv:2206.01747},
year = {2022}
}
Comments
15 pages main (4 figures, 1 table), 80 page appendix (76 figures, 1 table), comments welcome