The BIonic diode in a system of trigonal manifolds

TL;DR

This paper introduces a BIonic diode model based on trigonal manifolds connected via Chern-Simons fields, where molecular shape differences influence electron behavior and photon exchange, leading to diode-like properties.

Contribution

It presents a novel theoretical model of a BIonic diode using trigonal manifolds and Chern-Simons fields, highlighting shape-dependent electron and photon interactions.

Findings

Photon exchange causes electron movement and diode behavior.

Shape differences between manifolds affect photon mass and BIon energy.

Similar manifolds cancel photon effects, resulting in zero BIonic energy.

Abstract

A BIonic diode is constructed of two polygonal manifolds connected by a Chern-Simons manifold. The shape and the angle between atoms of molecules on the boundary of two polygonal manifolds are completely different. For this reason, electrons on the Chern-Simons manifold are repelled by molecules at the boundary of one manifold and absorbed by molecules on the boundary of another manifold. The attractive and repulsive forces between electrons are carried by masive photons. For example, when two non-similar trigonal manifolds join to each other, one non-symmetrical hexagonal manifold is emerged and the exchanged photons form Chern-Simons fields which live on a Chern-Simons manifold in a BIon. While, for a hexagonal manifold, with similar trigonal manifolds, the photons exchanged between two trigonal manifolds cancel the effect of each other and BIonic energy becomes zero. Also, exchanging photons between heptagonal and pentagonal manifolds lead to the motion of electrons on the Chern-Simons manifold and formation of BIonic diode. The mass of photons depend on the shape of molecules on the boundary of manifolds and the length of BIon in a gap between two manifolds.