IndisputableMonolith.Engineering.CorticalNeuromodulationDevice
This module defines the carrier frequency and supporting parameters for a cortical neuromodulation device in Recognition Science. The key specification is a cortical-column carrier frequency of 5 phi Hz. It supplies positivity, band, and anti-monotonicity results for pulse spacing and entrainment confidence. Engineers designing neuromodulation hardware based on the phi-ladder would reference these definitions.
claimThe cortical-column carrier frequency is given by $f_c = 5 phi$ Hz. Pulse spacing is a positive quantity in the phi band, and entrainment confidence is a positive real number at most one with strict anti-monotonicity.
background
The upstream Constants module defines the RS time quantum as τ₀ = 1 tick. Cost supplies the J-cost and related functions. This module translates these into engineering objects for cortical neuromodulation, introducing carrier frequency, pulseSpacing, entrainmentConfidence, and the device certificate, each with mathematical bounds drawn from the Recognition Composition Law and phi fixed point.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module instantiates Recognition Science constants for practical neuromodulation engineering. It feeds the CorticalNeuromodulationDeviceCert sibling definition. The parameters connect the T7 eight-tick octave and T8 D=3 to device design, providing an interface for applying the mass formula and alpha band in neurotechnology.
scope and limits
- Does not derive the 5 phi frequency from the forcing chain T0 to T8.
- Does not include clinical trial data or safety margins.
- Does not model the interaction with the Berry creation threshold.
depends on (2)
declarations in this module (14)
-
def
carrier -
theorem
carrier_pos -
theorem
carrier_band -
def
pulseSpacing -
theorem
pulseSpacing_pos -
theorem
pulseSpacing_band -
def
entrainmentConfidence -
theorem
entrainmentConfidence_zero -
theorem
entrainmentConfidence_pos -
theorem
entrainmentConfidence_le_one -
theorem
entrainmentConfidence_strict_anti -
structure
CorticalNeuromodulationDeviceCert -
def
corticalNeuromodulationDeviceCert -
theorem
neuromod_one_statement