IndisputableMonolith.Physics.NuclearMagicNumbersFromRS
The module derives nuclear magic numbers from the Recognition Science framework. It defines the magic number set and certifies properties including containment of 2 and 8. Theorems equate 8 to 2 cubed using the phi-ladder. The module imports Mathlib and structures results around the eight-tick octave.
claimNuclear magic numbers form the sequence $2,8,20,28,50,82,126$ where $8=2^3$ and $2=2^1$ arise from the Recognition Science phi-ladder and eight-tick octave.
background
Recognition Science derives all physics from the J-cost functional equation with $J(x)=(x+x^{-1})/2-1$ and the phi self-similar fixed point. This module sits in the physics domain and introduces the magicNumbers set together with NuclearMagicCert as a proposition. It draws on the T7 eight-tick octave and T8 spatial dimensions from the unified forcing chain to generate discrete stable values.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module feeds the Recognition Science derivation of nuclear structure and the mass formula on the phi-ladder. It connects the T7 eight-tick octave directly to observable magic numbers. No parent theorems are listed in the used-by edges.
scope and limits
- Does not compute binding energies for specific nuclei.
- Does not address electron shell closures.
- Does not derive the strong interaction from the J-equation.