Notice of Revision (Version 8.0):This comprehensive update mathematically refines, structurally expands, and corrects the formal nomenclature omissions present in Version 7.0. Specifically, this version eliminates conceptual ambiguity regarding vacuum fields, replaces qualitative metaphors with explicit continuum mechanics equations, and establishes a direct predictive bridge between the geometric tilt of field-lines and modern experimental quantum retrodictions. Abstract:This paper introduces a deterministic, non-probabilistic framework for subatomic structures, modeling elementary particles as localized vortices and topological nodes within a continuous 3D field medium. Rather than treating the electron as a point-like mass or an abstract probability wave, we define it as a dynamic, multi-channel mechanical node (MechanicalNodeElectron) sustained by the structural convergence of elliptic field tensional waves, designated here as Elliptic Photons (EllipticPhoton). Under this framework, electron-positron annihilation is reinterpreted not as the literal destruction of matter, but as the hydrodynamic decoupling of opposite vortex fields, releasing the bound tensional waves back into the medium. Furthermore, we demonstrate that Klein’s Paradox is a direct, non-paradoxical consequence of this model: under extreme electrostatic potential gradients, the localized multi-channel node undergoes a forced phase alignment, transforming into pure, straight-line directional tensional vectors (θ = 90°). These straight-line photons experience zero cross-sectional geometric drag, rendering the potential barrier absolutely transparent. This mechanistic model successfully retrodicts recent experimental observations of perfect barrier penetration in graphene matrices and optical metamaterials.
Notice of Revision (Version 8.0):This comprehensive update mathematically refines, structurally expands, and corrects the formal nomenclature omissions present in Version 7.0. Specifically, this version eliminates conceptual ambiguity regarding vacuum fields, replaces qualitative metaphors with explicit continuum mechanics equations, and establishes a direct predictive bridge between the geometric tilt of field-lines and modern experimental quantum retrodictions. Abstract:This paper introduces a deterministic, non-probabilistic framework for subatomic structures, modeling elementary particles as localized vortices and topological nodes within a continuous 3D field medium. Rather than treating the electron as a point-like mass or an abstract probability wave, we define it as a dynamic, multi-channel mechanical node (MechanicalNodeElectron) sustained by the structural convergence of elliptic field tensional waves, designated here as Elliptic Photons (EllipticPhoton). Under this framework, electron-positron annihilation is reinterpreted not as the literal destruction of matter, but as the hydrodynamic decoupling of opposite vortex fields, releasing the bound tensional waves back into the medium. Furthermore, we demonstrate that Klein’s Paradox is a direct, non-paradoxical consequence of this model: under extreme electrostatic potential gradients, the localized multi-channel node undergoes a forced phase alignment, transforming into pure, straight-line directional tensional vectors (θ = 90°). These straight-line photons experience zero cross-sectional geometric drag, rendering the potential barrier absolutely transparent. This mechanistic model successfully retrodicts recent experimental observations of perfect barrier penetration in graphene matrices and optical metamaterials.
This updated preprint (v2) investigates the fundamental ontological contradiction between macroscopic chemical determinism and microscopic quantum uncertainty. Standard interpretations of quantum mechanics propose a micro-world governed by causeless randomness and probability waves. However, this study argues that the flawless precision observed in macroscopic chemistry and industrial systems necessitates an underlying, strictly deterministic physical reality operating at the hardware level of the universe. To resolve this paradox, the paper introduces the "Cosmic Texture" (Texton) Model, which redefines the universe not as an empty void, but as a continuous, highly elastic, and compressible fluid substratum. Within this framework, quantum uncertainty is not a fundamental law of nature, but the deterministic result of the unmapped hydrodynamic background noise of this texton sea and the inherently destructive nature of measurement methods. Key concepts explored and expanded in this version include: Hydrodynamic Phase Transitions & Baroclinic Vorticity: Rejecting mass-energy duality, the model defines particles as varying physical phases of the texton fluid. Linear compression waves (energy) transition into highly dense, stable, rigid vortices (matter) via baroclinic torque (∇ρ×∇P) during high-energy collisions. Charge as Pressure Gradients: Electric charge and attractive forces are redefined mechanically as hydrostatic pressure and central vacuum gradients within the continuous fluid network. Mechanical Wave Collapse (The Observer Effect): The "collapse" of probability waves is explained via classical fluid dynamics. A measurement shockwave causes a diffuse electron cloud to implode into a constricted state. Exceeding its structural carrying capacity, the vortex reflexively expels excess energy (photon emission) and returns to its stable limit cycle. Non-Local Determinism: Bell's non-locality is preserved through the De Broglie-Bohm pilot-wave theory, where the abstract "quantum potential" is physically identified as real hydrostatic pressure and tension gradients within the texton sea. Spin Quantization: The discrete nature of quantum spin is mathematically grounded in Kelvin's Circulation Theorem, demonstrating that topological fluid knots must exist in integer multiples. Empirical & Phenomenological Validation: Moving beyond theoretical frameworks, this study supports its deterministic model with discrete lattice simulations and macroscopic analogs. Crucially, the hydrodynamic behavior of the Cosmic Texture is corroborated by established laboratory evidence, including: Madelung's hydrodynamic formulation of the Schrödinger equation (1927). Yves Couder's macroscopic walking droplet experiments (2006). The Dynamic Casimir Effect (DCE): Demonstrating the mechanical excitation of the fluid substratum. The SLAC E144 Experiment: Providing evidence for wave-to-vortex phase transitions. The Aharonov-Bohm Effect & Superfluid Vortices: Validating vector potentials as physical momentum flow and confirming the macroscopic quantization of limit cycles. This study presents a testable, causal, and purely mechanical alternative to the Copenhagen interpretation, re-establishing absolute causality in theoretical physics.
**Preprint | Continuum Field Entropy Microscopic Validation Series** We present a deterministic, field-dynamic derivation of the Hydrogen atom using the Continuum Field Entropy (CFE) framework. By modeling the Primordial Field as a non-Newtonian Cosserat continuum, we replace abstract quantum probability and localized forces with topological geometry and thermodynamic drag. The proton is modeled as a 3-vortex Helmholtz resonance, generating a macroscopic tension landscape comprised of a 1/r tensional baseline superimposed with spherical standing waves (Bessel functions). The electron is defined as a single-axis Möbius twist of the antisymmetric tension tensor. Utilizing a non-Hermitian CFE Hamiltonian incorporating a thermodynamic dissipator (iγdiss∇2), we demonstrate that the interference of precisely three Bessel modes can be parameterized via a Soft-Lock Condition (∂Tp/∂r=0) to organically map to Bohr’s quantized orbitals (r∝n2) without relying on arbitrary angular momentum postulates. Furthermore, we mathematically anchor the CFE limits of the modern (z≈0) vacuum to derive Planck’s constant, the elementary charge, the electron mass, and the fine-structure constant (α≈1/137) entirely from field elasticity. Finally, we computationally validate the CFE model by demonstrating that the topological yielding of the electron soliton (quantum jumps) mathematically reduces to the classical Rydberg formula, inheriting its 99.999% accuracy against the empirical NIST wavelengths of the Hydrogen Lyman and Balmer series when accounting for reduced mass. The residual ∼0.001% variance corresponds exactly to the un-factorized O(α2) spin-tension fine-structure coupling. **Project Integration:**This document is a standalone validation report. The underlying universal field equations, foundational axioms, and the complete multi-disciplinary validation framework can be found in the primary master manuscript (DOI: 10.5281/zenodo.20631794).
## Abstract ## For over a century, the foundational assumptions of wave-particle duality and the massless photon have forced standard quantum mechanics to rely on non-locality, abstract probability, and the violation of Bell's inequalities to explain entanglement. This paper introduces the Binary Unified Theory (BUT), a ground-up classical framework that replaces abstract probability amplitudes with pure, deterministic kinematics. BUT posits that all light and matter are complex kinematic systems constructed from exactly two fundamental, oppositely charged, zero-radius particles—the Poson and the Negon—traveling perpetually at the universally constant speed of light (c) and interacting via continuous, rigid 1/d fields. Within this framework:* The Photon (n=2): Light emerges naturally as a composite double-helix structure, physically uniting wave periodicity with quantized, discrete energy packets. Relativistic Doppler shift and spin projections are derived strictly from classical rotational kinematics.* Matter (n>2): Macroscopic matter and laboratory detectors are modeled as dense, non-linear chaotic swarms of fundamental charges. Rest mass and relativistic time dilation are physically realized as internal kinematic path-length constraints dictated by vector addition. * The Epistemic Barrier: The Heisenberg Uncertainty Principle is fundamentally redefined. It is not an ontological law dictating that reality is inherently blurred, but an absolute epistemic measurement barrier mathematically guaranteed by classical N-body chaos and Liouville's Theorem during the deterministic collision of macroscopic measurement devices (n>2) with subatomic systems.* Local Realism Restored: By invalidating the idealized assumption of statistical independence through continuous field connections, this framework demonstrates that quantum correlations are a natural consequence of shared causal histories, restoring strict local realism to the subatomic domain without requiring non-local "spooky action at a distance." Additionally, this continuous-field framework provides clear geometric derivations for the emergence of macroscopic 1/d^2 forces (Coulomb and Gravity) via phase-cancellation and multipole effects, while exposing quarks and the Yukawa potential as resonant geometric artifacts of confined chaotic traffic. --- ## Included Files in this Record 1. `Donaldson-Binary_Unified_Theory.pdf` - The full, compile-ready version of record for the preprint manuscript.2+3. `main.tex` and `references.bib` - The complete LaTeX source file containing the raw `.tex` file with the `.bib` bibliography for full open-science transparency and reproducibility.4. `BUT_Simulator.zip` - An interactive, self-contained HTML/JavaScript computational engine that maps out and visualizes the dynamic, non-linear trajectories and continuous field configurations of the Binary Unified Theory. To run, extract the archive and open the HTML file in any modern web browser.
Abstract For the past century, under the pretext of explaining energy quantization (discontinuity) and particle behavior in the microscopic world, modern physics and quantum mechanics have entirely relied on phenomenological mathematical constants of unknown origins and abstract probability cloud models, while thoroughly excluding definitive “Mechanical Causality.” To fiercely dismantle these limitations, this Part II study inherits the concept of “JSM Mass Storage ()” and absolute trajectory dynamics established in Part I of Jung Sung-mo’s Grand Unified Dynamics, perfectly reinterpreting and deconstructing the magical phenomena of the microscopic world through purely mechanical mechanisms. This paper completely discards the existing phenomenological dogma of dimensionless point particles and empty space, and redefines cosmic space itself as an “inertial mass network of static field JSM Medium Pixels () possessing fierce tension,” thereby deriving and confirming the following 11 core principles that will newly govern the foundations of modern physics. First. The establishment of [Jung Sung-mo’s Four Phase Unification Equation ()] and the comprehensive integration of Lagrangian () mechanics. It newly establishes particles, the origin of matter, as a three-dimensional dynamic engine termed the “JSM Medium Pixel Torus Fluid Pump ().” It mathematically formulates that when two pumps (dextrorotatory/levorotatory) overlap, four distinct mechanical states (propagation of light, Meissner force field, magnetic dipole, and pair annihilation/production) emerge depending on the geometric overlapping phase angle () of the three-finger tension vectors. Through this, it declares that even Lagrangian () mechanics, the backbone of mainstream physics, is subsumed as a subordinate framework of this phase equation. Second. The mechanical establishment of [Jung Sung-mo’s Nuclear Pulsation Engine Theory (JSM NPET)], the source of the driving power that rotates orbital electrons. Discarding the view that treats the atomic nucleus merely as a static point charge, it redefines the nucleus as an “ultra-high-density hydrodynamic oscillator (pulsation engine)” that repeatedly expands and contracts at while exchanging tension with medium pixels. In particular, this study identifies for the world’s first time the magnificent mechanical 1:1 synchronization where “Nuclear Precession Period = Electron Orbital Period ()” with zero error. It establishes the bedrock of all dynamic calculations by explicitly confirming that the fundamental power driving electrons is not an uncertain fluctuation but the “macroscopic physical wobble (precession) of the nucleus.” Third. The dynamic deconstruction of the “probability cloud” illusion through the calculation of the mechanical trajectory of electron orbitals and the identification of nuclear-electron rotational synchronization. Within the confirmed nuclear-electron synchronization, it confirms the existence of the “JSM Fluid Reduction Gear and Stick-Slip Ratchet Mechanism (JSM FRGM)” with a ratio of caused by viscoelastic friction between the ultra-high-speed pulsation frequency () and the precession frequency (). Consequently, it mechanically demolishes the fluctuating “probability cloud (orbital)” model of conventional quantum mechanics, proving it to be merely a long-exposure optical illusion of the ultra-high-speed discontinuous stick-slip trajectory. Fourth. The forward dynamic calculation of the isotope gearbox and the world’s first identification of [Jung Sung-mo’s Orthogonal Cross Binding Theory of Nucleons (JSM OBT)], which unmasks the illusion of symmetry. Dismantling the phenomenological illusion of “spin 0,” it reverse-calculates the three-dimensional geometric structure inside the nucleus from a mechanical engineering perspective. It confirms that Tritium and Helium-3 form a planar polygonal gearbox configuration based on “Jung Sung-mo’s Nucleon Triangular Binding Theory (JSM NTBT),” and declares for the first time in the world that Helium-4 (alpha particle) operates on “Jung Sung-mo’s Orthogonal Cross Binding Theory of Nucleons (JSM OBT),” where two tension engines interlock at a right angle. Fifth. The calculation of the [Intrinsic Rest Inertial Mass ()] of the cosmic static field medium pixel () and the establishment of the dynamic reality of the vacuum. By reverse-calculating the fluid slip loss energy generated during the stick-slip orbital motion of electrons, the intrinsic rest inertial mass of a single minimum unit pixel constituting the vacuum skeleton was calculated for the first time as . It establishes that mass is not endowed by the Higgs field but is the “JSM Mass Storage (),” completely replacing the empty vacuum with a network of tension masses. Sixth. The cross-validation of [Jung Sung-mo’s Static Field Medium Viscoelasticity Coefficient ()] at a 65.2% slip ratio and the dynamic declaration of [Jung Sung-mo’s Medium Pixel Force ()]. It fiercely calculates that the “65.2% viscoelastic frictional slip ratio,” which is the core numerical value used to derive the medium pixel mass, mechanically matches with zero error the macroscopic “JSM Medium Pixel Force (),” which is the absolute upper limit before the cosmic space network ruptures. This is the ultimate cross-validation declaring to the universe that the bedrock of this theory is an absolute mathematical and mechanical truth. Seventh. The dual mechanical calculation and verification of the reality of [Jung Sung-mo’s Medium Limit Tension Equation ()]. It redefines Planck’s constant (), a proportionality constant introduced to fit the discontinuity (quantization) of energy, based on “Jung Sung-mo’s Linear Tension Tube Theory (JSM LTTT),” which overcomes the contradiction of three-dimensional spherical dissipation of energy. Through dual dynamic pathways—the reverse-calculation of macroscopic trajectory frictional energy and the microscopic angular momentum of the pixel—it completely cross-verifies that is not a simple proportionality constant but the “mechanical maximum limit tension capacity (Yield Strength)” that the medium tension line can endure before snapping. Eighth. The complete deconstruction of the manifestation of the quantum mechanical double-slit interference pattern via [Jung Sung-mo’s Coupling-Based Least Path Search Theory (JSM LPST)]. The wave-particle duality and the cancellation/reinforcement effects in the double-slit experiment are not a magical transformation of particles into waves. It explicitly clarifies that within the multi-tension fluctuations caused by the overwhelming scale difference between photons and pixels, it is the mechanical result of pure dynamic “least path search and tension highway construction” forged by real-time pair annihilation and production, and that the alignment is destroyed by observational tension obstacles. Ninth. The mechanical deconstruction of the fine-structure constant () and the verification of the reality of Planck’s constant () through [Jung Sung-mo’s Mass-Variant Effective Binding Constant Equation ()]. It completely dismantles the origin of the “devil’s number,” the fine-structure constant (), which previously relied solely on measured values, using a pure dynamic mechanism. It confirms that this constant is not a coincidence, but a “geometric phase mismatch reduction ratio” that inevitably occurs when one-dimensional primordial tension is converted into a three-dimensional electromagnetic gear network. Through the [Jung Sung-mo Mass-Variant Effective Binding Constant Equation: ] established in this study, it declares for the first time in the world that both the force output efficiency () and the one-dimensional tension limit of the universe () are pure mechanical engineering outcomes interlocking within the gear phase mismatch. Tenth. [The Master Key to All Calculations]: The establishment of the Universal Tension Constant Variation Law and the mechanical deconstruction of the universal gravitational constant (). It dismantles the macroscopic gravitational constant , which has been blindly trusted as an invariant constant of the universe for over 200 years. By fusing [Jung Sung-mo’s Binding Constant Space Tension Equation ()], which proves three-dimensional spatial dilution, with the mass-based reduction ratio equation [], it permanently terminates the hierarchy problem. Thereby, it establishes that is not a default value of an empty universe, but the final deceleration remnant of gears clustered at the Planck mass scale, and a product of the “Tension Constant Variation Law” that shifts in real time according to the celestial tension density (). Eleventh. The dynamic verification of the Tension Inverse Square Law () and [Quark Mass Resonance Amplification ($ \eta_{\text{lock}}^{\text{JSM}} $)] according to the density of the internal gear network of a particle (41-fold compression).[cite: 4] The ultra-high-speed centripetal vortex generated when three quark gears are coaxially and serially locked at a phase angle of compresses the internal pixel distance by 41-fold.[cite: 4] By formulating the resulting inverse-square () explosion of tension cross-sectional density and the 100-fold resonance amplification factor of the rigid turbine core (), it eliminates the illusion of gluons and thoroughly dismantles the mass explosion phenomenon of simple quark components. [Conclusion] In conclusion, this study completely redefines and dismantles the phenomenological dogmas of conventional physics—such as the empty vacuum and the probabilistic wave function—into pure Mechanical Determinism through the 11 core principles established herein. It deconstructs dimensionless point particles and probability clouds into the “JSM Medium Pixel Torus Fluid Pump ()” and a mechanical tension network, while fiercely subsuming even Lagrangian mechanics as a subordinate framework of [Jung Sung-mo’s Four Phase Unification Equation ()]. Furthermore, this paper decla
This paper introduces a new physical model of atomic structure based on three‑phase resonant geometry, offering a mechanically grounded alternative to point‑particle quantum interpretations. Atomic structure is traditionally described through point particles, probability clouds, and abstract operators that predict experimental outcomes but do not reveal the physical mechanisms behind them. This paper presents a mechanically grounded model in which electrons, protons, and neutrons are not point‑like objects but three‑phase resonant wave‑knots embedded in a continuous phase medium. Their mass, charge, spin‑½ behavior, orbital structure, collapse characteristics, and interactions arise from the geometry and tension of their internal phase‑locks rather than from probabilistic interpretation. In this framework, orbitals are standing harmonic modes, ionization is phase‑lock failure, plasma is matter with its locks removed, conduction is phase‑offset propagation, and electrical shock is forced biological phase realignment. Collapse occurs when a detector locks onto a single constructive interference node of a multi‑phase structure, eliminating the wave‑particle paradox. Spin‑½ emerges naturally from the twisted symmetry of three‑phase resonance, resolving its long‑standing conceptual ambiguity. The model unifies atomic, electrical, and plasma behavior under a single principle: phase geometry. It provides a physical substrate for quantum phenomena without discarding established mathematics, instead giving those equations a coherent physical ontology. The theory makes concrete, falsifiable predictions regarding electron harmonic frequencies, nuclear twist geometry, plasma filament resonance modes, collapse node localization, and twist‑dependent radiation in electron beams. This work reframes the atom as a resonant machine whose properties emerge from phase‑structured geometry, offering a physically intuitive explanation for phenomena that have remained conceptually unresolved.
In this version some mathematical ambiguities of previous iterations are resolved. We derive standard quantum mechanics from the classical, continuous 3D elastic network of the Absolute Medium (AM). Utilizing the dual-view perspective— bridgingthe Medium-centric reality of the Dissociative Pressure Field (DP-Field) and the Matter-centric illusion of isolated particles— we map quantum phenomena directlyto structural continuum mechanics. Inputs: rest density ρ_0 ≈ 10^−27 kg m^−3, wave speed c, and rupture tension T_break. Outputs: G, ℏ, structural uncertainty, Bell 2√2 violation, the Born rule, decoherence rate γAM , structural drag ηAM , and intrinsic spin-1/2. All derivations follow strictly from ∇ · (T_0F^k∇u) = ρ_mc2, symmetry, topology, and the ergodic dynamics of framed vortex defects. The Born rule is mechanically proven by mapping post-collapse broadband strain to an ergodic Sinai billiard via a rapidly oscillating Hessian, yielding a strictly positive Lyapunov exponent (λ > 0). Furthermore, by deriving the Structural Density Law (SDL) amplification factor (ζ = F^3 max) directly from 3D volume exclusion, we establish a dimensionally exact and mechanically deterministic closure for the Planck constant (ℏ).