IndisputableMonolith.Materials.BatteryChemistryFromPhiLadder
The module constructs battery chemistry models from the Recognition Science phi-ladder. It supplies definitions for BatteryChemistry, energyDensity, density_ratio and related certification objects that scale energies and densities via phi exponents on top of the base time quantum. Materials physicists working with RS predictions for energy storage would cite these constructions. The module is purely definitional and contains no theorems.
claimThe module introduces the type $BatteryChemistry$ together with the maps $energyDensity : BatteryChemistry → ℝ$ and $density_ratio$, all obtained by phi-ladder scaling from the RS time quantum $τ_0$.
background
Recognition Science obtains physical quantities from the phi-ladder in which masses and energies scale as yardstick times $φ$ raised to an integer rung offset. The upstream Constants module fixes the fundamental RS time quantum $τ_0 = 1$ tick. This module extends those foundations into materials by defining battery-specific objects whose energy densities and density ratios follow the same discrete phi-exponent rules.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the definitional foundation for battery chemistry inside the Recognition Science framework and feeds parent theorems on energy storage that will use BatteryChemistryCert. It connects the phi-ladder (T6) and the eight-tick octave to concrete materials predictions without introducing new chain steps.
scope and limits
- Does not derive the phi-ladder or the value of $φ$.
- Does not assign numerical values to specific battery materials.
- Does not prove agreement with experimental energy densities.