Beyond the interactive mini-simulator on this site, the full Mac (Metal) engine runs real experiments at scale - hundreds of thousands of particles, long unattended searches for stable structures, and genuine findings along the way, reported honestly.
Browse real runs, short clips of what actually happened, and the observations they produced.
A first-principles mathematics section, separate from the experiments and the physics papers above and below. It exists to build real mathematical grounding for an ongoing search for deeper structure, starting from the well-known - and treated here with appropriate skepticism - proximity of the fine-structure constant to 1/137.
The first piece is a survey of how primes are classified, how they're distributed, and their exact connection to constructible geometry - including a corrected chain of errors found along the way.
What if the complexity of the universe could be reduced to two simple particles? Ian Donaldson's Binary Unified Theory explores the mathematical and physical framework where all matter and light emerges from the interaction of the proposed Posons and Negons.
Experience the simple Big Bang and Photon simulations in the interactive online mini-simulator and then dive deep into the derivations and explanations contained within the book.
Available now on Amazon.
I am currently upgrading the Mac (Metal) simulator from 20M+ particles to a CUDA app for billions of particles, and expanding the book for a premium hardback edition.
Join the development log for weekly updates.
The formal kinematics and physical framework underlying the simulator, revised from the earlier PhilArchive pre-print to correct and narrow the treatment of Coulomb's law and gravity in light of newer results, and to reference the companion paper on emergent inverse-square coupling below. Not yet resubmitted anywhere - staged here for review first.
A focused follow-up to the main paper's open problem: no static charge shape recovers the observed 1/R² of Coulomb's law or gravity from BUT's fundamental 1/r field - but a positionally displaced neutral pair does, exactly, in closed form. The photon is shown to be structurally excluded from this mechanism by its own rotation, while a real, independently identified 14,385-particle bound cluster from an already-published simulation is shown, using its own real tracked data, to carry exactly the persistent charge displacement the mechanism requires.