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July 7, 20260 citationsOpen Access

OUCHᵥ3₇ClosureAdmissibilityAuditb0TermFINALCLEAN. pdf

Key Points

This technical note aims to evaluate whether the second-order growth-response coefficient b₀ meets admissibility constraints.
Audited the inherited value b₀ from OUCH v3.6 against various consistency conditions.
Conditions tested include positivity, monotonic damping, response monotonicity, and bounded irreversibility.
The reconstructed value b₀ = −0.356337 is deemed admissible.
b₀ is weakly constrained, suggesting it remains largely phenomenological.
The findings indicate that b₀ adheres to basic OUCH-UOG consistency conditions.

Abstract

Testing whether second-order UOG admissibility constrains the growth-response coefficient. This technical note audits whether the second-order growth-response coefficient b₀ inherited from OUCH v3.6 is admissible under basic OUCH-UOG consistency conditions. The note does not derive b₀ and does not perform a new S₈ calibration. It tests the pre-existing reconstructed value b₀ = −0.356337 against positivity, monotonic damping, response monotonicity, bounded irreversibility, and the reversible ΛCDM limit. The result is conservative: b₀ is admissible and weakly constrained, but remains phenomenological under the current closure level.

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