The Binary Unified Theory: Rigid Fields, Emergent Forces, and Kinematic Relativity

## 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.

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## 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.