module module moderate

`IndisputableMonolith.Applied.PhotobiomodulationDevice`

This module supplies SI-unit constants and conversion factors for modeling photobiomodulation devices inside the Recognition Science framework. It imports core constants and defines Planck's constant per CODATA 2024, speed of light, eV-to-J conversion, base energy, and phi energy rungs with positivity. Applied physicists and biophotonics researchers cite these when mapping therapeutic wavelengths to RS-native energy ladders. The module consists entirely of definitions and positivity assertions.

claimDeclares $h$ as Planck constant in J·s (CODATA 2024), $c$ as speed of light, $eV_to_J$ conversion factor, base energy $E_{base}$, and phi energy rung $E_r = $ yardstick $· ϕ^{rung-8+gap(Z)}$ together with positivity statements for each.

background

The module operates in the Applied domain of Recognition Science and imports IndisputableMonolith.Constants, whose doc-comment states: 'The fundamental RS time quantum (RS-native). τ₀ = 1 tick.' It introduces sibling definitions including planck_h (Planck constant (J·s), CODATA 2024), speed_of_light, eV_to_J, E_base, phi_energy_rung, phi_energy_rung_pos, phi_energy_rung_step, and phi_energy_rung_zero. These sit atop the phi-ladder and Recognition Composition Law from the core framework.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the constant layer that connects RS-native units (c=1, ħ=ϕ^{-5}) to SI values for photobiomodulation device design. It feeds potential downstream theorems that optimize photon energies on the phi-ladder and eight-tick octave, although no direct used_by edges are recorded yet. It closes the gap between abstract forcing chain (T5–T8) and concrete applied calculations.

scope and limits

Does not derive constants from the J-uniqueness equation.
Does not model tissue absorption spectra.
Does not simulate device geometry or power delivery.
Does not address clinical efficacy or safety thresholds.

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import

declarations in this module (35)

def planck_h L48
def speed_of_light L51
def eV_to_J L54
lemma planck_h_pos L56
lemma speed_of_light_pos L57
lemma eV_to_J_pos L58
def E_base L68
lemma E_base_pos L70
def phi_energy_rung L75
lemma phi_energy_rung_pos L77
theorem phi_energy_rung_step L81
theorem phi_energy_rung_zero L88
def E_PBM L99
lemma E_PBM_pos L101
lemma E_PBM_bounds L105
theorem E_PBM_is_rung_6 L112
lemma div_bounds_of_E_PBM L125
def lambda_PBM L142
lemma lambda_PBM_pos L144
theorem lambda_PBM_in_therapeutic_window L149
theorem lambda_PBM_approx L165
def rs_pattern L200
theorem rs_pattern_window_neutral L216
structure WindowNeutralPattern L231
def rs_neutral_pattern L236
theorem rs_pattern_peak L240
theorem rs_pattern_phi_components_neutral L243
theorem rs_pattern_sqrt_components_neutral L250
theorem phi_cubed_in_theta_band L268
theorem phi_fifth_in_alpha_band L276
theorem phi_eighth_in_gamma_band L283
theorem modes_span_distinct_bands L288
structure PBMDeviceSpec L301
def rs_device L325
theorem device_matches_octave L344