Scope
Chapter “The Furey interface”, section “The exact participation result”. This is assertion 1 of 1 in that section.
Expanded claim page · assertion 1 of 1
The exact participation result
EstablishedIntegrator
Follows from declared assumptions and has an inspectable certificate. joins several typed results while letting the weakest edge set the claim.
Exact assertion
The answer is yes inside the declared finite model. A continuous Furey product rotation, combined with the Jordan translations and grading operations, generates all ten directions of \(\mathfrak{sp}(4,\mathbb R)\). The word continuous matters: a discrete relabelling does not supply the infinitesimal generator needed for Lie closure.
What this commits us to
The stated conclusion follows inside the declared model. Reusing it elsewhere requires carrying the same object definitions, assumptions and typing.
Logical anatomy
Evidence posture
Audit the declared carrier, assumptions and certificate. The result is exact only within that written scope.
Research move
joins several typed results while letting the weakest edge set the claim.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Locate a mismatched definition, an omitted assumption, a failed certificate step or a counterexample on the declared carrier.
Deeper certificate
Calculation or obstructionInspect the typed closure and executable certificatesOpen certificate →This specialized page exposes the underlying calculation or obstruction in more detail.
Source map
Controlling documents
- furey weak jordan ladder spin23Open controlling document →
- a three generator jordan furey recursion closes all of sp4 but requires the furey channel rotation as a continuous flowOpen controlling document →
- the linear furey product FCp exponentiates exactly to the missing continuous sp4 channel rotation but its action term is openOpen controlling document →
- a positive first order response pulse generates the full furey channel flow without bulk degeneracy but needs microscopic charge completionOpen controlling document →
- no declared cp boundary z3 flavor or index datum fixes the a5 sterile phase referenceOpen controlling document →