IndisputableMonolith.Constants.RSNativeUnits
RSNativeUnits establishes the base RS-native unit system with the tick as fundamental time quantum and c=1. Researchers deriving quantities from the forcing chain or expressing constants like ħ = φ^{-5} would cite these definitions to keep all work in tick/voxel units. The module consists entirely of definitions for Time, Length, Velocity, Energy, Action, Mass, Frequency, Momentum, Charge, tick, voxel, and c.
claimThe RS-native units are defined with fundamental time quantum $\tau_0 = 1$ tick, $c = 1$, length in voxels, and derived quantities for energy, action, mass, and charge, consistent with the Recognition Composition Law and the eight-tick octave.
background
The module imports Constants, where the fundamental RS time quantum satisfies $\tau_0 = 1$ tick. It also imports KDisplayCore, whose clock-side display definition is $\tau_{rec}(display) = (2\pi \cdot \tau_0) / (8 \ln \phi)$, and Alpha for the fine-structure constant band.
This supplies the notational foundation for the Recognition Science framework in which all physics is expressed without external numerals. Sibling definitions cover the full set of base quantities (Time, Length, Velocity, Energy, Action, Mass, Frequency, Momentum, Charge) together with the primitives tick, voxel, and c.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the unit definitions that feed the SI calibration adapters (IndisputableMonolith.Measurement.RSNative.Calibration.SI and SingleAnchor) and the neutrino sector derivation. It implements the base layer for expressing constants such as $\hbar = \phi^{-5}$ and $G = \phi^5 / \pi$ in native units, closing the seam between theory and measurement reporting while preserving the T0-T8 forcing chain and RCL.
scope and limits
- Does not perform any SI unit conversions.
- Does not introduce CODATA numerals or fit parameters.
- Does not contain theorems or proofs.
- Does not depend on external calibration records.
used by (3)
depends on (3)
declarations in this module (64)
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abbrev
Time -
abbrev
Length -
abbrev
Velocity -
abbrev
Energy -
abbrev
Action -
abbrev
Mass -
abbrev
Frequency -
abbrev
Momentum -
abbrev
Charge -
def
tick -
def
voxel -
def
c -
def
U -
lemma
U_tau0 -
lemma
U_ell0 -
lemma
U_c -
def
cohQuantum -
def
energy_raw -
def
hbarQuantum -
def
action_raw -
lemma
hbarQuantum_eq_Ecoh -
def
massQuantum -
def
mass_raw -
def
freqQuantum -
def
freq_raw -
def
momentumQuantum -
def
momentum_raw -
lemma
momentumQuantum_eq_cohQuantum -
def
phiRung -
def
scaleByPhi -
lemma
phiRung_pos -
lemma
phiRung_zero -
lemma
phiRung_one -
lemma
phiRung_neg_one -
lemma
phiRung_add -
lemma
phiRung_neg -
def
octavePeriod -
def
breathCycle -
def
ticksToOctaves -
def
octavePhase -
def
gap45 -
def
syncPeriod -
lemma
syncPeriod_eq_lcm -
def
tau_rec -
def
lambda_kin -
theorem
tau_rec_eq_K_gate_ratio -
theorem
lambda_kin_eq_K_gate_ratio -
def
planckTime_rs -
def
planckLength_rs -
def
planckMass_rs -
def
planckEnergy_rs -
def
alphaInv_rs -
def
K_rs -
def
E_coh_rs -
lemma
E_coh_rs_eq_E_coh -
structure
ExternalCalibration -
def
to_seconds -
def
to_meters -
def
to_m_per_s -
def
to_joules -
def
to_kg -
def
to_hertz -
theorem
c_in_si -
def
status