IndisputableMonolith.Chemistry.PeriodicTableFromPhiLadder
This module certifies the periodic table by defining electron shell capacities directly from the phi-ladder in Recognition Science. Chemists and foundational physicists would cite it when deriving atomic periodicity from the forcing chain. The module supplies sibling definitions for ElectronBlock, shellCapacity variants, and PeriodicTableCert with no complex proof steps required.
claimShell capacities satisfy $shellCapacity(n) = 2n^2$ for principal quantum number $n$, with the periodic table structure certified by $PeriodicTableCert$ under the Recognition Science phi-ladder.
background
Recognition Science derives all structures from the phi-ladder and J-uniqueness (T5), with the eight-tick octave (T7) and D=3 dimensions (T8) setting the stage for discrete counting. This chemistry module introduces ElectronBlock for orbital groupings and shellCapacity definitions whose doc-comment states 'Shell capacities: 2n².' It imports Mathlib for basic arithmetic and enumerates sibling objects including electronBlockCount and four shellCapacity lemmas that instantiate the 2n² formula at successive levels.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies PeriodicTableCert and the shellCapacity family that feed downstream chemistry derivations in the Recognition framework. It directly implements the doc-comment claim that shell capacities equal 2n², bridging the abstract phi-ladder to observable periodicity without invoking external quantum postulates.
scope and limits
- Does not derive electron configurations for individual elements.
- Does not prove stability or filling order beyond capacity counts.
- Does not address relativistic corrections or fine structure.
- Does not extend the phi-ladder to molecular bonding.