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d6g8k5htny-coder/README.md

Universal Law — mathematics, evidence and verification

Dylan Roy

I’m building an open, AI-assisted mathematics research workspace focused on Gaussian random fields, persistent homology and the geometry of short-lived topological features.

The aim is to make the work inspectable: full arguments, exact-source references, reproducible computations and clearly recorded review scopes.

Explore the public site · Try a reproducible example · Cite the work

Start here

Repository What you’ll find
main Public research introduction, interactive examples and verification tools.
Math- Proofs and their stated assumptions; begin with the reading map.
query- A read-only command-line tool for finding exact sources across the workspace.
Universal-Law-Workspace A map of the repositories and how they fit together.

Research approach

The work combines human direction, AI-assisted derivation, adversarial review, exact computation and selected Lean 4 formalizations. Results have specific hypotheses and review histories; those scopes travel with each artifact. “Universal Law” names the research workspace, not a claim that a universal law has been discovered.

For the longer technical account and research background, read the historical research stack essay, preserved unchanged from the previous profile.

Contact and contributions

Questions or corrections are welcome through the main repository’s issues. The contributor guide explains how to propose a bounded task or review an exact object.

ORCID: 0009-0003-7329-7001

Pinned Loading

  1. main main Public

    Public research front door: Gaussian random fields, persistent homology, pinned proofs, reproducible checks, and review packets.

    Python

  2. Math- Math- Public

    Proof vault for Gaussian random fields and persistent homology: full arguments, exact computations, source-bound reviews, and explicit open obligations.

    Python

  3. query- query- Public

    Read-only exact-source lookup for Universal Law mathematics, with pinned identities and reproducible verification controls.

    Python

  4. Universal-Law-Workspace Universal-Law-Workspace Public

    Federation map for the research repositories: start at main, read full proofs in Math-, and look up exact sources in query-.

    Python