Derivations from first principles

Plasmon resonances align with the phi-ladder

Phi-spaced excitation produces a measurable advantage over uniform spacing

Phi-spaced photonic crystals deliver the predicted bandgaps

Planetary layering follows RS recognition octaves

Information-limited control gains emerge for RS-aware robotic systems

Phase transitions occur at canonical critical recognition loadings

The RS prediction registry forms a single proved bundle

Eight octaves of recognition form the breath cycle 2^10 = 1024

Awareness throughput is a recognition-bandwidth quantity

Consent is the J-cost-minimizing protocol for joint recognition

Net-extraction strategies cannot persist; equilibration always wins

Among virtues that drive sigma to zero, love is the unique stable target

Unredressed recognition imbalance forms a ledger of moral debt

Every physical system has a finite recognition bandwidth; saturation drives observable effects

The graph of who has a stake in a recognition event is forced by event topology

The classical virtues are J-cost generators of recognition equilibration

All possible virtue combinations live in a finite, enumerable lattice

All ethical evaluations reduce to a recognition cost J(stakes)

The drive to equilibrate recognition imbalance is the basis of ethical action

The canon ships concrete definitions of c, hbar, G as CODATA constants for cross-checks

Empirical SI/CODATA anchors that the RS predictions are compared against

Cross-bracket consistency of alpha and G predictions

Explicit Lean check that the experimentally accepted alpha lies inside the certified band

The weak coupling G_F * (mu c)^2 / (hbar c)^3 lands inside the RS certified bracket

G = phi^5 / pi in RS-native units; SI value reproduced via the unit-conversion bridge

hbar = phi^{-5} in (tick, voxel, coh) units; SI value follows from the calibration

The Planck length is reconstructible as a derived rung of the phi-ladder

tau0 is calibrated against CODATA constants self-consistently

α⁻¹ = 4π·11·exp(−w₈·ln(φ)/(4π·11)) is forced from J-cost uniqueness, φ self-similarity, and D=3; the certified band (137.030, 137.039) contains CODATA 137.036

tick, voxel, coh, and act compose consistently with derived c, hbar, G

c is one voxel per tick by construction; the SI value 299,792,458 m/s is a unit conversion, not a measurement of the universe

The locked alpha lives in (0,1); the certified numerical bounds reproduce the CODATA value

k_B is a single RS rung tied to the thermal recognition channel

RS predicts the Hartree-to-rest-mass and Rydberg-to-rest-mass ratios within tight bands

Lean-certified upper and lower bounds on alpha^{-1} place CODATA inside

The canonical recognition length is the unique balanced positive root of the curvature-cost equation

The recognition length lambda_rec coincides with the Planck length in SI

alpha_s is forced by the RS gauge-sum prediction and its bounds

The 5-dimensional config space forces a pi^5 angular factor

A single Lean module collects the closed-form RS predictions of the core constants

Main sequence to white-dwarf transitions anchored to RS phi-ladder

RS predicts r within the BICEP/Keck-respecting band

RS predicts a null signal in XENON-style direct detection experiments

The dark-energy density parameter equals exactly 11/16 in RS

Key parameters of the radiation-dominated era anchored to RS rungs

Both classical inflation paradoxes are resolved by RS without fine-tuning

Z-aging shifts reconcile CMB and SH0ES H_0 within RS bounds

BBN H/He/Li ratios reproduced from RS thermal anchors