§2.7 — Other Reference Values

Reference Purpose

The values in this section support the main derived-value ledger. They are used across CPP structure, transport, curvature, and observational comparison, but they do not replace the primary calibration sequence defined in §2.1 through §2.6.

\[ \lambda_k \rightarrow \bar{A} \rightarrow \tau_0 \rightarrow \Gamma \rightarrow C_{\mu} \]

The reference values below provide additional definitions and comparison quantities used by that sequence.

Core Reference Terms

Term	Symbol	Reference Value	Use
Coherent Phase Packet	CPP	Fundamental oscillating lattice unit	Defines primordial and compound Region construction.
Intra-cycle phase parameter	\(\theta\)	King recurrence phase coordinate	Describes sub-cycle phase position; not recorded in Constellus.
Native light propagation	\(c_{L_0}\)	\(1.667800087\times10^{26}\,L_0\,s^{-1}\)	Maps measured time to native lattice distance.
Measured light speed bridge	\(c\)	\(2.99792458\times10^8\,\mathrm{m\,s^{-1}}\)	Used for SI comparison and \(\tau_0\) projection.
Fabric impedance	\(Z\)	\(376.730313412\,\Omega\)	Reference impedance used in field-response comparison.
Vacuum energy density bridge	\(\rho_{\mathrm{vac}}\)	\(5.36\times10^{-10}\,\mathrm{J\,m^{-3}}\)	Used to map the dormant corridor mean amplitude.
Constellus Snapshot Ledger	\(CS_k\)	Boundary-state difference ledger	Records lattice-state changes between King-cycle boundaries.

Propagation and Timing

The measured speed of light enters the framework as a dimensional bridge between the King coherence length and the update time. In native form, propagation is expressed in lattice units.

\[ c = 2.99792458\times10^8\,\mathrm{m\,s^{-1}} \] \[ c_{L_0} \approx 1.667800087\times10^{26}\,L_0\,s^{-1} \]

These values support photon transport, horizon-scale calculations, and native distance comparisons through Dormant Corridors.

Amplitude and Spectral Comparison Limits

Several observational comparison limits are used to evaluate whether the lattice remains consistent with measured background stability.

\[ |\varepsilon-1| \leq 1.7\times10^{-5} \]

This represents the CMB spectral-distortion comparison limit for the zero-phase baseline. Fine-structure stability is represented by:

\[ \frac{\Delta\alpha}{\alpha} \lesssim 10^{-5} \]

These are comparison constraints. They are used to test whether derived EOTU behavior remains compatible with observed background and spectral stability.

Geometric Reference Factor

The framework also uses a recurring geometric factor derived from the \(43/102\) lattice relation:

\[ \sigma = \sin\!\left(\frac{43\pi}{102}\right) \approx 0.9697969360 \]

This factor appears where the lattice geometry requires the resolved angular projection associated with the \(43\)-over-\(102\) relation.

Measurement Bridge Rule

The EOTU framework does not use measured physical constants as ontological starting points. Recurrence equations are written in intrinsic variables. Measured constants enter only when a native value is projected into SI units or compared against observation.

\[ \text{intrinsic recurrence} \rightarrow \text{native lattice value} \rightarrow \text{SI bridge} \rightarrow \text{measured comparison} \]

Thus measured values such as \(c\), \(G\), and \(h\) are not treated as primitive origins of the framework. Their use reflects calibration and comparison, not the source of the recurrence law.

Intrinsic Variable Set

Native EOTU relations are expressed through recurrence, coherence, phase, amplitude, and transport variables. The core intrinsic set includes:

\[ t_k,\quad \lambda_k,\quad \nu_k,\quad A_k,\quad \tau_0,\quad \Delta\phi \]

These variables define the internal recurrence structure. SI values are introduced only after the native relationship has been established.

Summary

§2.7 collects supporting reference values used across the EOTU public theory pages, including \(c_{L_0}\), \(c\), \(Z\), \(\rho_{\mathrm{vac}}\), spectral-distortion limits, fine-structure stability limits, and the geometric factor \(\sigma=\sin(43\pi/102)\).

These values support measured comparison and framework continuity. They do not replace the native recurrence variables of the theory, and they do not function as independent physical origins of the EOTU construction.