Binary Mechanics Equations

Let's try to understand more about binary mechanics (BM) by looking at its equations [1]. Fig. 1 shows the only mathematics needed are three binary logic ideas. A three year old child already knows them because these three math ideas are built into understanding and speaking language. The first of these three ideas is the one digit binary number, zero or one, yes or no, full or empty. Second is AND logic. Its truth table determines if "Jack and Jill went up the hill" is true. If Jack went up the hill is true and Jill went up the hill is true, then the AND function ouput is one, namely that both Jack and Jill went up the hill. Any other combination is not true. The third idea is NOT logic. If we have a zero, we make it a one; if we have a one input, we make it a zero out. So you don't need math based on continuous Space-Time Theory using real numbers for every point in space and time popular in the failed Standard Model math formulations [2] which at best can only approximate physical events [3] and which look terrible (Fig. 1, lower).

Fig. 1: Three Math Ideas Can Build Fully Functional Universe

Binary Mechanics Postulates

[Updated: Jan 10, 2025]
Abstract and Introduction
In "Binary mechanics", written in 1994 and published in 2010 [1], the eight-component wave function of a pair of relativisitic Dirac spinor equations of opposite handedness was parsed to define the spot cube model of space. With quantization of energy, space and time, dubbed full quantization, the spot cube provided a new system state representation, called the bit function, at a quantized time. With full quantization, infinitesimal increments in the Dirac equation pair were no longer applicable. Hence, time-development of the system state was defined in four bit operations. The postulates of binary mechanics define primary constants from full quantization and the mathematical definitions of the bit function and bit operations [2].

Fig. 1: Spot Cube Model of Space

Particle Up-Down Spin and Quantized Time Parity

Some consequences of time quantization in binary mechanics (BM) [1], which postulates a fundamental time unit and constant named the tick (t), are (1) precise definition of the phenomenon of electromagnetic (EM) resonance at the most elemental level possible, (2) recognition of the particle time phase phenomenon due to elemental EM resonance and (3) complete explanation of the previously mysterious quantum mechanical (QM) particle up-down spin property. These advances mark the demise of the 72-year-old up-down particle spin mystery, born with the Stern-Gerlack experiment in 1922 [2] and ending with the BM postulate of quantized time in 1994 [1]. These perhaps milestone developments illustrate failure of QM formalism to elucidate physical observations due to its obsolete assumption of continuous space-time. Fig. 1: Elemental EM resonance from space-time quantization

Legend: Five spot units at integer coordinates form part of a spot unit channel. Each spot unit consists of a mite (circle) and lite (arrow) bit locus. 1-state bits (yellow) at T = 0 shift in the lite direction (right) in unconditional bit operations (T = 1, 2, 3).

Quantized Electromagnetism

The quantization of space and time in binary mechanics (BM) [1] may explain mechanisms underlying laws of electromagnetism (EM) [2] and raise new issues. A key criterion for a physics theory explaining phenomena at a more microscopic level such as BM, is that its laws converge on well-established physics laws at more macroscopic levels. For example, quantum electrodynamics reduce to Maxwell's equations at more macroscopic levels; Special Relativity (SR) reduces to Newtonian mechanics at low observer frame velocities compared to the speed of light in vacuum. To what extent is this true for the postulates and laws of BM? Does BM raise new issues or imply predictions of new EM phenomena?

Fig. 1: Surface View of Two Adjacent Spot Cubes

Legend: Each color-coded spot is a 2x2x2 cube of bits. A spot cube contains 8 spots, 4 of which are partially visible in this view. Electron spots (e-L; white) and right (R) and left (L) d quark (d) spots (r, red; g, green; b, blue). Mites (circles) and lites (arrows and stars). Stars are lites moving toward the viewer. Purple arrows indicate the direction of the three inter-dimensional strong bit operations within a spot, one of which is visible in each spot in this view.

Electron Acceleration and Quantized Velocity

This paper analyzes and discusses electron motion between electron spots in adjacent spot cubes based on a physical interpretation of binary mechanical (BM) space [1] [2]. Quantization of electron velocity is predicted. Fig. 1 shows the X1 level of the YZ surface of two adjacent spot cubes (left and right) as might be seen from above the YZ plane of the page.

Fig. 1: X1 Plane of YZ Surface of Two Adjacent Spot Cubes
Legend: Each color-coded spot is a 2x2x2 cube of bits. A spot cube contains 8 spots, 4 of which are partially visible in this view. Electron spots (e-L; yellow) and right (R) and left (L) d quark (d) spots (r, red; w, white; b, blue). Mites (circles) and lites (arrows and stars) may be in the 0-state (white) or 1-state (black). Stars are lites moving toward the viewer. Purple arrows indicate the direction of the three inter-dimensional strong bit operations within a spot, one of which is visible in each spot in this view.

Lorentz Force in Binary Mechanics

Updated: July 30, 2011
At relatively low bit densities, the Lorentz force is consistent with binary mechanics^[1] (BM), with which this note assumes familiarity.

BM predicts that experimental data for particle events approaching the level of fineness of single BM bits will tend to show anomalies when evaluated with conventional quantum mechanics (QM), which assumes the components of the electromagnetic four-potential (Φ,A) can be defined at arbitrary spatial points in continuous space-time. On the other hand, the BM model quantizes both space and time and assigns each component to slightly different spatial locations (Figs. 1A-1C, 2B-2D).