Abstract and Introduction
Proton size is presently estimated by measurements of proton charge radius of approximately 0.84 fm. In contrast, based on binary mechanics postulates and equations [1], reported proton radius is about 1.34 fm. This substantial size discrepancy may be resolved by data indicating that the proton charge radius may underestimate proton size because three parts of proton structure contain concentrations of positive fractional charges.
Fig. 1: Proton (Hadron) Structure and Cycle
Introduction
In a series of publications from 2015 to 2020 [1] [2] [3] [4] [5] [6] [7] [8], binary mechanics (BM) won the century-long physics grand championship race [9] by deriving the measured values of so-called "fundamental" physical constants from a new set of postulates, asserting full quantization of space, time and energy [10] replacing the now obsolete theory that space, time and energy are continuous. The losers were dozens of famous physicists, including many Nobel Prize winners, principal investigators in big-money grants and prominent social media influencers, and national labs such as Fermilab and CERN with multi-millions in annual government funding [11].
Abstract
Transition from the quantum mechanics (QM) wave function to the binary mechanics (BM) bit function is inevitable. The wave function wrongly assumes that physical events at multiple points occur at a single point and events may occur at points in space and time that do not exist, due to belief that space and time are continuous rather than quantized. The wave function also fails to adequately represent physical events in the network of concurrent and countercurrent spot unit components of the BM spot cube spatial lattice. Historically, technologies that work have been generally adopted even before underlying physics is fully understood. The "follow the money" rule leads directly to exponential increase in BM technology usage, which improves spatial and temporal resolution by multiple orders of magnitude (Fig. 1), required for continuing progress in industries working at increasingly microscopic "nanotechnology" scales, attracting both physicists and capital investment.
Fig. 1: Increased Spatial and Temporal Resolution
[Updated: Aug. 24, 2025]
Abstract
A frequently asked question is, "How did binary mechanics (BM) derive the primary and secondary physical constants?" A true derivation of a "fundamental constant" value is based on first principles alone, without any use of other fundamental constants, which are really unexplained measurements. First, measured values of the so-called fundamental constants were reverse engineered to obtain values for the BM primary constants based on full quantization of energy, space and time, expressed in kg, meters and seconds respectively, which map directly to the SI units of measurement used in science. Second, the primary constant values, dubbed the Keene scale, were used to calculate the measured values of the previously unexplained secondary or "fundamental" constants.
Fig. 1: Physical Constant Derivation Highlights
Editorial
The first-ever derivation of so-called fundamental constants from first principles of quantum theory [1] was a historic event. The first of over 90 papers on binary mechanics appeared in 2010 in JBinMech. But the first paper deriving Planck's constant h was not published until 2015. So physicists around the world had some five years to win the century-long physics grand championship race. A major missed opportunity. They had a chance and they blew it. Instead, Binary Mechanics Lab (BML) crossed the finish line and won the greatest race in physics in over 100 years [2].
Table 1: Unexplained Measurements Wrongly Called "Fundamental Constants"
[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
Abstract and Introduction
The fundamental physical constants doctrine hides the failure of popular physical theories including legacy quantum mechanics and both special and general relativity. The so-called "fundamental constants" are in fact the greatest body of unexplained data in physics. The doctrine acts to obscure the now obvious fact that these unexplained observations comprise basic unsolved mysteries in physics. Instead of addressing these basic questions, the doctrine teaches that these observations are essentially a sort of "no-go zone" for theoretical physicists. First, these observations are typically confined to a short Appendix A in physics books, wrongly labelled "fundamental constants" (Fig. 1). Second, "natural units" in basic equations help hide the fact that the measured values of these "constants" remains unexplained although these values are used as "input parameters". Third, accepted interrelationships or dependencies among many of these constants indicate mathematically that they contain redundant information and could not be "fundamental". Finally, binary mechanics is thus far the only comprehensive physical theory to derive the values of the so-called fundamental constants from first principles [1].
Fig. 1: The Greatest Body Of Unexplained Data In Physics
Abstract and Introduction
Some consequences of defining the fine structure constant α as the probability of an electromagnetic interaction with a charged particle are explored using the Binary Mechanics Lab Simulator (BMLS) v2.8. An alpha α composite variable was introduced: (S + V) / M0, where S and V are scalar (electrostatic) and vector (magnetic) event counts respectively and M0 is the number of M-type quanta (1-state bits with charge attribute) prior to application of time-development bit operations and eligible to be "source quanta" in the S and V bit operations [1]. In brief, this α definition is simply the observed probability that a M quanta is accelerated by an electrostatic (S) or magnetic (V) potential. The α variable was not constant, but varied as a function of quanta density in the simulated volume (Fig. 1), suggesting that α may have appeared to be constant if previous measurements were conducted at a quanta density of approximately 0.237 of maximum possible density. Proton-electron mass ratio was also found to occur at about the same quanta density suggesting that this density range may approximate laboratory conditions close to "standard temperature and pressure".
Fig. 1: Fine Structure Constant α vs Quanta Density
Abstract
Physics literature presents equations in which a measured physical constant is expressed as one or more other measured physical constants. These expressions (1) show dependencies among so-called "fundamental" constants which are in fact unexplained observations and (2) are not derivations from first principles. That is, a true derivation from first principles cannot use any unexplained data as one or more "input" parameters. Adding to previous reports [1] [2], a procedure to derive light speed with unidirectional measurements is described based only on the first principles of binary mechanics including the time-development laws [3] and a physical interpretation of binary mechanical space [4].
Introduction
With first principles describing electron geometry, zero electron electric dipole moment was derived in 2011 [5] and confirmed by two different labs [6]. With the discovery of the proton (hadron) bit cycle in 2011 [7], the non-spherical proton shape was described, confirmed by proton scattering data [8].
Using the classical definition of total angular momentum, intrinsic electron spin and hence, Planck's constant, were derived in 2015 [9]. In 2018, Planck's constant and both electron and proton intrinsic spin where derived using a different method by summation of the angular momentum of each quanta motion in the electron and proton bit cycles [10]. Fractional and elementary charge derivation was based on analysis of the time-development scalar (electrostatic) bit operation [11] and paved the way to derive intrinsic electron magnetic moment based solely on first principles, the elementary charge derivation and the classical definition of magnetic dipole moment [12].
These first-ever derivations of previously unexplained constants required full quantization of energy, space and time, namely the units of measurement in physics (Fig. 1). A primary constant value for each unit of measurement could be assigned that was consistent with the full set of derivations -- mass M as energy expressed in kg, length L in meters and time T in seconds [13]. These three values may complete the list of primary constants, if fine-structure constant α in Fig. 1 can also be successfully derived from first principles [Keene, in preparation].
[Updated: November 19, 2020]
Abstract and Introduction
Analysis of energy quanta distributions among spatial objects called spots [1] [2] revealed two quantum-level phenomena relevant to gravitation: dispersion and concentration of energy quanta (Fig. 1). First, in a lower energy density range, spots with multiple energy quanta dispersed, or lost, energy which was distributed to spots with initial lower, even zero, energy content. Second, at higher energy density, spots concentrated energy more than expected by random distribution. In brief, quantum analysis of spatial distribution of energy (and/or mass) identified two mechanisms which disperse or concentrate energy probably relevant to gravitational phenomena. A third mechanism was the effect of surface temperature on gravitation reported previously [3] [4] [5] [6]. The present results further integrate gravitation and space-time-energy quantization in binary mechanics and support a multi-factor treatment of gravity-related phenomena.
Fig. 1: Spot Energy Distribution vs Energy Density
Abstract and Introduction
Planck's constant h was derived for the first time from first principles, based on the intrinsic proton spin in the proton bit cycle, confirming the derivation based on the electron bit cycle (Fig. 1 from [1]) [2]. A new method to derive h and the intrinsic electron spin based on summation of 1-state bit motion components of the total angular momentum was applied to the proton bit cycle to sum its angular momentum components. Results confirm (1) binary mechanics (BM) [3] postulates including the physical interpretation of BM space [4] and the time-development bit operations underlying the fundamental forces [5] which create the proton and electron bit cycles themselves and (2) the victory of Binary Mechanics Lab (BML) in the century-long physics grand championship race to derive constants from first principles of a coherent, comprehensive physical theory (BM) [6].
Fig. 1: Proton and Electron Bit Cycles
Legend: Six 1-state bit positions in electron cycle (yellow). 42 1-state bit positions in proton cycle. Matter d quarks (dark red, green, blue); anti-matter d quarks (light red, green, blue). Positron positions (gray). Arrows (purple) indicate bit motion direction and results of the strong bit operation. The unconditional bit operation (black) accounts for all motion between color-coded spot types. XYZ positions shown without commas: e.g., 013 is {0,1,3}.
[Updated: June 19, 2020]
How is binary mechanics different from quantum mechanics (QM)?
Legacy QM and General Relativity (GR) utilize continuous space-time theory, while binary mechanics (BM) [1] quantizes both space and time leading to definition of fundamental length L and time T constants. Recall that Planck's constant is an energy-time product (Jsec), not energy quantization per se. BM quantized energy as a 1-state bit (energy quanta) in a size L bit locus cube, expressed as M in kg. In short, BM quantizes the three units of measurement (Fig. 1 from [2]) and defines the system state bit function as a spatial pattern of 1- and 0-state bits [3].
Further, with space-time-energy quantization, infinitesimal time-evolution operators in legacy QM -- e.g., Standard Model (SM) math -- are not applicable since only integer increments are allowed. Hence, four bit operations [4] were based on a pair of relativistic Dirac spinor equations of opposite handedness including electromagnetic field components (Fig. 3 from [5]). In sum, both system state and time-development in BM is full QM, while SM math is partial QM. BM is complete QM, while SM math is incomplete QM.
Fig. 1: Century-Long Race Finish: Derivation of Constants From First Principles
[Updated: Feb 3, 2019]
Abstract and Introduction
Breaking news: elementary charge e has been calculated for the first time from first principles of the leading comprehensive, fundamental quantum theory known as binary mechanics (BM) [1]. A quantized Coulomb force was defined (eq. 1). Based only on the time-development scalar bit operation [2] [3] and the three quantized units of measurement -- M, L and T (Fig. 1) [4], calculated electrostatic force (eq. 2) accounted for 97.6% of the quantized Coulomb force. Elementary charge e may be derived from three primary physics constants based on energy-space-time quantization (eqs. 3 and 4).
Fig. 1: Secondary Physics Constants Derived From Primary Constants
[Updated: May 16, 2018]
Abstract and Introduction
Breaking news: Binary Mechanics Lab (BML) announces the first-ever derivation of the proton-electron mass ratio (Fig. 1). The derivation depended only on first principles of the comprehensive, fundamental physical theory known as binary mechanics (BM) [1] [2], without use of any mathematical constants or physical constants based on experimental measurements. A major consequence of this milestone discovery is two operational definitions of mass: 1) a fundamental, invariant value as a function of electron mass me and 2) the observed proton mass which depends on energy (1-state bit) density.
Fig. 1: First-ever Proton-Electron Mass Ratio Derivation
Abstract and Introduction
On Sept. 18, 2017, Cat 5 hurricane Maria destroyed Binary Mechanics Lab (BML), located in the Commonwealth of Dominica in the Caribbean West Indies windward islands. just as BML was emerging as the leading fundamental physics lab in the world (see e.g. [1] [2] [3]). For over six months, BML had no utility-supplied electric power and internet. At present, BML has been largely rebuilt. This article reviews upcoming BML activities, including research publications and software.
Fig. 1: Getting Started: Bit Function Analysis
While testing a new batch mode version of the Binary Mechanics Lab Simulator (BMLS), remarkable standing waves of an electron gas in perfect vacuum were observed (Fig. 1).
Fig. 1: Standing Waves in Vacuum Electron Gas
[Updated: Febuary 23, 2020]
Fun pop quiz. Spot the physics theory hidden in Tables 1 to 3.
Table 1: Physics Theory: Some First Principles
Binary mechanics (BM) [1] predicts that faster-than-light motion of 1-state bits occurs over specific distances under particular conditions defined by four time-development bit operations [2] -- unconditional (U), scalar (S), vector (V) and strong (F) [3] [4].
1-State Fermion Mite Bit Velocities
Distance d = 1. Bit velocity v = d/t where d and t are the fundamental quantized length and time constants [5]. Distance d is presently thought to be approximately 0.6 fm. Time interval t was calculated based on the speculation that so-called "light speed in vacuum" c = v/π (eq. 2 in [5]), approximately 6.34922E-25 seconds in the BM frame. In one time tick t of the unconditional bit operation, all 1-state bits (fermion mites and boson lites) and 0-state bits (1-bit neutrinos) move exactly one distance unit d at bit velocity v. With four bit operations each thought to have duration t, the average unconditional bit velocity over one cycle of bit operations application is v/4. It may be convenient to express these velocities in bit velocity units where light speed is 1/π and average velocity over 4 ticks t due to the unconditional bit operation is 1/4, less than purported light speed.
Fig. 1: Faster-Than-Light 1-State Fermion Mite Bit Motion
Legend: States of spatial objects named spot units over successive ticks (top to bottom). Each spot unit contains two bit loci named mite (circles) and lite (arrows) with 0 (blue) or 1 (black) allowed states. The last row adds view of a bit locus in an adjacent perpendicular spot unit. Strong bit operation direction (purple arrow).
Abstract and Introduction
Light velocity at zero degrees Kelvin was examined. Major results of previous reports were replicated [1] [2]. First, light speed was zero at low vacuum energy (1-state bit) densities. That is, the hypothesis that the lowest vacuum densities are opaque to light transmission [3] was confirmed with improved measurement methods. Second, light speed decreased from its maximum velocity as energy density decreased. Third, light velocity was approximately equal to 1/π in bit velocity units [4], where bit velocity is d/t and d and t are the quantized fundamental length and time constants respectively. These results (1) change the status of Einstein's Special Relativity statement of constant light speed c in a vacuum independent of signal source velocity from postulate to known mechanism and (2) limit the vacuum density range in which light speed c may, in fact, be constant [1] and (3) highlight issues in light speed measurement methods.
Methods and Results
Fig. 1: Light Speed at Zero Kelvin vs Energy Density
Legend: Bit density: energy (1-state bit) density as proportion of maximum possible energy density. Light speed expressed in bit velocity units.
Abstract and Introduction
Cooling a simulated system to zero degrees Kelvin [1] is examined in this exploratory pilot study. The zero Kelvin systems produced can be saved and used in other studies as initial states without any electromagnetic (EM) radiation or particle motion. Methods to produce these zero Kelvin states and some results on their properties are presented and discussed.
Methods, Results and Discussion
Fig. 1: Final Densities at Zero Kelvin
Legend: VSUF (blue), SVUF (pink) bit operations order -- unconditional (U), scalar (S), vector (V) and strong (F).
