neutron_lifetime_discrepancy_structure
The neutron lifetime discrepancy structure holds because the lifetime matches the ledger prediction supplied by the phi-ladder model. Experimental physicists examining the neutron lifetime anomaly would cite this result to connect Recognition Science predictions with measured decay rates. The proof is a one-line term application of the upstream input theorem that reduces the ledger property to the neutron lifetime structure.
claimThe neutron-lifetime discrepancy structure holds, since the neutron lifetime equals the value given by the ledger structure on the phi-ladder.
background
In Recognition Science the neutron lifetime is placed on the phi-ladder, with the general lifetime for rung k defined as phi^k. The module Experimental.NeutronLifetimeDiscrepancyStructure supplies an experimental interface that identifies the observed discrepancy with the ledger property. The upstream theorem has_neutron_lifetime_input states that the neutron lifetime from the ledger follows from the neutron lifetime structure. The definition neutron_lifetime_discrepancy_from_ledger simply equates the discrepancy proposition to that ledger property.
proof idea
This is a one-line wrapper that applies the theorem has_neutron_lifetime_input, which itself reduces the ledger property directly to the neutron lifetime structure.
why it matters in Recognition Science
The declaration supplies the experimental link that lets the phi-ladder lifetime prediction confront the neutron lifetime anomaly. It sits inside the broader chain that derives particle masses and lifetimes from the self-similar fixed point phi and the eight-tick octave. No downstream theorems are recorded, so the result functions as a terminal experimental interface rather than an intermediate lemma.
scope and limits
- Does not compute a numerical lifetime value.
- Does not treat other particle species.
- Does not include experimental uncertainties or error analysis.
- Does not derive the phi-ladder from the forcing chain.
formal statement (Lean)
15theorem neutron_lifetime_discrepancy_structure :
16 neutron_lifetime_discrepancy_from_ledger := has_neutron_lifetime_input
proof body
Term-mode proof.
17
18/-- Neutron-lifetime-discrepancy structure implies neutron-lifetime input. -/