secondMagicNumber
plain-language theorem explainer
The definition sets the second magic number to the natural number 8 inside the Recognition Science treatment of nuclear structure. Nuclear physicists citing the five force carriers or the eight-tick octave reference this constant when certifying the gluon multiplicity and the 2^3 relation. The assignment is a direct literal definition with no reduction or external lemmas required.
Claim. The second magic number is defined to be the natural number $8$.
background
The module Nuclear Physics Depth from RS identifies five nuclear structure categories (single-particle, collective, rotation, vibration, cluster) and five force carriers, with gluons listed as eight. The second magic number supplies the integer count tied to that gluon multiplicity and to the eight-tick octave. The module reports zero sorries and zero axioms overall.
proof idea
The declaration is a direct definition that assigns the literal value 8. No lemmas or tactics are applied.
why it matters
It supplies the concrete value required by the NuclearPhysicsDepthCert structure in the second_magic_cube field and by the theorem secondMagic_eq_2cubed. The number 8 realizes the eight-tick octave (period 2^3) from the T7 step of the forcing chain and matches the gluon count among the five canonical force carriers. This completes one integer datum in the B7 nuclear depth certification.
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