Hall Effect Mechanism

Abstract
The Binary Mechanics Lab (BML) Simulator v3.13 was used in Random Mode to demonstrate the Hall effect in a cubic volume. Analysis of charge displacements of 1-states revealed the role of the proton cycle as the primary mechanism producing the Hall effect. This Hall effect demonstration and description of its mechanism further establish the heuristic value of binary mechanics postulates and equations.

Introduction
In 1879, Edwin Hall discovered that an electric current produced a transverse voltage in a conductor [1]. In Random Mode, the BML Simulator records displacements of positive and negative fractional charges, associated with the proton and electron cycles respectively [2], for each application of the binary mechanics (BM) update to the Schrödinger equation (eq. 17 in [3]).

Fig. 1: Proton 1-state Displacments

Pauli Matrices Define Cubic Lattice

Abstract and Introduction
The well-known Schrödinger and Dirac time evolution equations in quantum mechanics (QM) both require the Pauli spin matrices (σ_x, σ_y, σ_z) to produce accurate results for probabilities of real-world events. These Pauli spin matrices reveal the eight vertices of a cube. In experiments, QM equations with the Pauli spinors may represent physical dynamics in a three-dimensional Euclidian space. Thus, the Pauli spinors in fact define a cubic lattice. In sum, QM equations assume a cubic lattice is a fundamental feature of physical systems. Consequences of this QM assumption have been explored in binary mechanics, documenting a transition from partial, incomplete QM to full, complete QM.

Fig. 1: Pauli Spin Matrices