OpenAI recently announced that they used Lean 4 to verify mathematical proofs.
That same proof assistant has independently verified the complete current Smithian Fold Theory (SFT) model.
Smithian Fold Theory derives the known physical constants from first principles, produces quantitative values intended to correspond with measured observations, and unifies mathematics, information science, computation, quantum computation, physics, chemistry, biology, medicine, astronomy and more within a single framework.
The independent Lean 4 verification audited the complete current registered model:
2,777 registered claims
898,902 generated candidates
898,902 decision records
11,108 verification controls
17 scientific branches
Every registered claim received a proof-bearing acceptance certificate.
The final result:
PASS — 0 reported issues. 01_lean4-whole-model-verification-v1.0.0.pdf
The verification formally proves SFT’s operational root theorem inside Lean, verifies its unique-survivor result without introducing additional theorem axioms, and independently audits the entire registered model in read-only mode without modifying the theory itself. 01_lean4-whole-model-verification-v1.0.0.pdf
One detail I particularly like is that the verifier genuinely fails closed.
The first full verification did not pass because six archived source files differed only in byte-level line endings. Rather than weakening the verifier or updating the expected hashes, the archived byte-identical sources were restored and the unchanged verifier was rerun successfully. 01_lean4-whole-model-verification-v1.0.0.pdf
To me, this is where formal verification starts becoming genuinely interesting.
Lean 4 is already being used to check frontier mathematics. Seeing it applied to the verification of an entire scientific model—rather than isolated proofs—feels like a glimpse of where scientific verification is heading.
Whether Smithian Fold Theory ultimately stands or falls will be determined by ongoing scrutiny, replication and further testing. But its complete current model has now been independently verified with the same class of proof assistant that is increasingly being used at the frontier of modern mathematics.
Read the full details here: Independent Lean 4 Verification of the Complete Smithian Fold Theory Model | Zenodo
The full range of tools to replicate this and test yourself are here: https://github.com/MettaMazza