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module module moderate

IndisputableMonolith.Astrophysics.UHECRStructure

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UHECRStructure module shows that ultra-high energy cosmic ray structures imply positivity of phi. Astrophysicists working in Recognition Science would cite the result when connecting ledger models to the phi fixed point. The module imports Constants and organizes its argument through the three sibling declarations listed in the module header.

claimUHECR structure $\implies \phi > 0$, where $\phi$ denotes the self-similar fixed point of the Recognition Science forcing chain.

background

The module resides in the Astrophysics domain and imports IndisputableMonolith.Constants. The upstream Constants module supplies the fundamental RS time quantum with doc-comment stating "The fundamental RS time quantum (RS-native). τ₀ = 1 tick." The local theoretical setting uses ledger-based constructions to reach the positivity implication for phi.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module is imported by FRBStructure and StellarIMFStructure. It supplies the result that UHECR structure implies positivity of phi, supporting those downstream astrophysical structures. It touches the T6 step where phi is forced as the self-similar fixed point.

scope and limits

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (3)