The evolution of high-dimensional computational engines, from raw C-core to proprietary industrial architecture.
A story of how modern research is heavily dependent on a few critical decisions made long ago.
- Plane-waves vs. Cardinal Sines: Plane-waves are delocalized, and it's well known that the exchange operator—which requires more localization—cannot be written into the plane-wave basis. We found the complete answer in 2013 (published in JCP in 2015): a way to write down the exchange operator in the Cardinal Sine basis. The Cardinal Sines are simply a recasting of all plane-waves up to a minimum wavelength as a maximally localized product. It is a poor localized basis (because it decays like 1/x), but a highly effective plane-wave-like basis.
- Engineering the Coulomb Interaction: Engineers are a practical species; they write Coulomb interactions as a sum of Gaussians, establishing a pathway for the Laplace transform. Physicists are often attached to the plane-wave, writing Feynman diagrams and beyond as a 1/k2 density—but that cannot work for exchange. Instead, exchange follows as a Sum of Products of 2-body Gaussians (see THEORY / Foundations).
- Hartree-Fock on a Digital Basis: We used lookup tables for a joint Gaussian + Sinc basis. This alleviated the blocky basis-set problem posed by pure Gaussian-type orbitals, as the Sinc floor covered all low-bandwidth structures. We simply placed a tower of Gaussians around cores for core-valence solutions.
The transition from experimental academic design to battle-tested quantum computing architecture.
- The LANL Presentation & Moving Away from Matrices: Following a period of intense code construction to realize the Sums of Products framework, I presented Andromeda at Los Alamos National Laboratory (LANL) to the T-division in 2016. The focus was on the execution of separated 1-body solutions, marking our definitive architectural break away from traditional matrix methods.
- Resilience and Exact Solutions: This momentum secured further grants for Hartree-Fock calculations on small crystals. Despite the profound loss of my adviser in 2017, the research persevered. I presented solo at an Army Research Office (ARO) collaboration meeting, showcasing 2-body solutions for Helium and molecular Hydrogen (published in JCP, 2018). We later connected with a pioneering Harmonium researcher from the 1970s, who rigorously calibrated and validated our new Coulomb, Yukawa, and Ewald potentials against exact analytical solutions.
- The Bridge to Industry & Quantum Patents: In 2019, I transitioned from my academic research role at Texas Tech University into the industrial sector as a Data Scientist. However, the physics engine continued to run. Working with a new adviser—a protege of the legendary J.C. Light—we collaborated throughout the COVID-19 pandemic to complete a monumental paper. Published in PCCP (2023), this work successfully mapped the Quantum Exchange operator for quantum computers, directly securing a commissioned quantum computing patent.
2026-Quantum Galaxies Corporation: GORGOPHONE
Quantum Galaxies Corporation and the pursuit of the 3-body Lithium spectrum.
- The Birth of Quantum Galaxies: By September of 2021, Texas Tech University returned with a proposition: funding and training to commercialize the architecture. Backed by legal counsel and initial capital, I founded Quantum Galaxies Corporation. While our first customer acquisition was seamless, the theoretical research entered a temporary hiatus as we navigated the realities of enterprise structure.
- Levitating Andromeda & Crushing Tech Debt: The transition from academic research to commercial viability exposed significant technical debt in the legacy code. To modernize the framework, I levitated the Andromeda logic into Skopos—a robust Django application backed by a Prefect Orchestrator. Working deep into the nights throughout late 2025, and leveraging GOOGLE AI to untangle the architecture, I successfully solved the scaling problem that had previously bottlenecked the system.
- The Refocus (The Original Prize): In March of 2026, I submitted our open-source bridge technology, SoPy, to the APS. The submission received a desk rejection. Rather than pivoting the framework to appease standard academic paradigms, I redirected all computational power back to the ultimate prize: utilizing the new Gorgophone engine to definitively solve the chaotic 3-body Lithium spectrum.