# Quantum-field assumption provenance map

Family 282: From scale symmetry to local conformal symmetry in four-dimensional QFT. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Field-theory researchers can trace which scale-symmetry hypotheses support a local conformal Ward-identity conclusion.

## Applicability and commercial boundary

Bounded-net and field-reconstruction assumptions matter. Local Ward identities are not a global conformal group action on the entire net or a numerical model generator.

## Initial business decision

Defer direct product. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Record the hypothesis graph and look for a formal research workflow before commercializing.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[Scale and conformal symmetry in four-dimensional operational quantum field theory](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Scale-and-conformal-symmetry-in-four-dimensional-operational-quantum-field-theory-September-26-2026/main.pdf).