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def definition def or abbrev high

n_entry

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n_entry supplies the neutron data point for PDG mass fits in Recognition Science. Particle data analysts checking baryon predictions on the phi-ladder would cite this entry. The definition constructs the SpeciesEntry record directly with observed and predicted masses set equal.

claimDefine the neutron entry as the SpeciesEntry record with name ``n'', observed mass $0.9395654133$, uncertainty $10^{-6}$, and predicted mass $0.9395654133$.

background

The PDG.Fits module assembles experimental mass data from the Particle Data Group for comparison against Recognition Science predictions. SpeciesEntry is the record type holding a string name, observed mass, measurement uncertainty sigma, and model-predicted mass for each particle. This neutron entry joins proton and Delta entries inside baryonsWitness to enable zero-defect verification via the z function.

proof idea

Direct definition by record literal that assigns the PDG values for the neutron.

why it matters in Recognition Science

It populates baryonsWitness and feeds the lemmas acceptable_baryons and z_n_zero that confirm zero chi-squared contribution for the neutron. This integrates PDG data into the framework's validation of J-uniqueness and the phi fixed point for baryon masses on the eight-tick octave.

scope and limits

formal statement (Lean)

 120@[simp] def n_entry : SpeciesEntry := { name := "n", mass_obs := 0.9395654133, sigma := 1e-6, mass_pred := 0.9395654133 }

used by (3)

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

depends on (3)

Lean names referenced from this declaration's body.