magic_2_from_dimension
plain-language theorem explainer
The equality asserts that the natural number 2 equals 2 raised to the first power. Nuclear modelers working inside the Recognition Science phi-ladder cite it as the base case for the smallest closed shell. The proof reduces the identity by direct numerical normalization with no lemmas required.
Claim. $2 = 2^1$ holds in the natural numbers.
background
The module Nuclear.BindingEnergy derives nuclear binding energies from the phi-ladder. Magic numbers arise as 8-tick shell closures on the lattice, with the first such number given by 2 = 2^1. The local setting treats binding as J-cost saturation plus surface, Coulomb, asymmetry, and pairing terms on the phi-lattice.
proof idea
The proof is a one-line wrapper that applies the norm_num tactic to normalize the arithmetic expression 2^1 directly to 2.
why it matters
This declaration supplies the initial term in the sequence of magic numbers (2, 8, 20, 28, ...) that the module links to 8-tick periodicity. It instantiates the T7 eight-tick octave at nuclear scales and feeds the larger program of expressing binding energies via the J-cost functional. No open scaffolding remains for this base identity.
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