About

Vincent Couey is an independent researcher leading the Substrate Geometry program. The work is a computational framework for classifying geometric primitives by what they guarantee under physical operation rather than by their symmetry group, with applications across rolling contact mechanics, mono-monostatic equilibrium geometry, IMU calibration housing design, and triply-periodic minimal surface thermal distribution.

The program began in April 2026 from the crystallization of two threads: a podcast interview that surfaced questions about the choice of foundational primitives in mechanical engineering, and the discovery of Paul Schatz's 1929 work on the oloid. The first arXiv preprint appeared two weeks later. Within six weeks the program had produced three live arXiv papers, one in moderation, a methodology paper pending endorsement, and a chemistry preprint drafted in parallel.

Substrate Geometry is one substrate of a broader body of work hosted at deepsynthesis.org, which spans physics research, platform engineering, computational chemistry, narrative work, and the design discipline that unifies them. The program here is the research substrate; the parent site is the identity hub.

Endorsement chain

Paper I was endorsed for arXiv by Georg Nawratil at the referral of Hellmuth Stachel, both at TU Wien in the lineage of developable-surface and line-geometric research. The same endorsement chain carried the catalog paper and the engineering-applications paper. The methodology paper is awaiting endorsement from Max Wardetzky at Göttingen, whose work on discrete differential geometry the methodology paper engages with directly at sections §4.1 and §5.1.

The path from outside the institutional credentialing system into the geometry community's standard pattern of how an outside contribution enters the literature is documented openly. The path is unusual but not novel; the contribution is the work, not the path.

Contact

For research correspondence: arcanesoftworks@gmail.com. Cold inquiries about the program, the methodology, or specific paper findings are welcome.

All code for published papers is open at github.com/gyapaganda-a11y/substrate-geometry under MIT license. Data files are CC-BY-4.0. Reproducibility infrastructure (Docker, Binder, headline-figure notebooks) is in active development.