frb_structure
plain-language theorem explainer
The theorem establishes that the fast radio burst ledger condition holds by direct reduction to the ultra-high-energy cosmic ray structure result. Astrophysicists chaining constraints across high-energy transients would cite this link when propagating UHECR positivity through FRB models. The proof is a single-term application of the upstream UHECR structure theorem.
Claim. The fast radio burst ledger condition holds, where this condition is defined to coincide exactly with the ultra-high-energy cosmic ray ledger condition.
background
In the Astrophysics.FRBStructure module the key definition sets frb_from_ledger equal to uhecr_from_ledger, making the two ledger propositions identical. The upstream uhecr_structure theorem discharges uhecr_from_ledger by appeal to phi_pos, the positivity of the golden-ratio fixed point. This placement sits inside the Recognition Science chain that derives astrophysical structures from the unified forcing sequence T0-T8.
proof idea
The proof is a one-line term wrapper that applies the uhecr_structure theorem directly to the frb_from_ledger goal.
why it matters
The result supplies the intermediate link that feeds the cosmic magnetic fields structure theorem, which re-uses frb_structure to establish its own ledger condition. It therefore propagates the phi-positivity step from the UHECR structure result onward through the FRB and magnetic-field stages of the Recognition Science framework.
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