Branch-Resolved Derivation of Correlated Physical Readouts from a Finite Pregeometric Grammar

Meta-Connective Physics (MCP) asks whether physical quantities usually treated as independent inputs can instead arise as correlated readouts of one finite pregeometric branch. The central difficulty is to identify that branch without using the same electromagnetic, electroweak, gravitational or flavor quantities that will later be compared with observation. This work establishes such a fixed-cover self-location result. The finite cover size $N_\Theta$ is retained as an environmental premise, but its branch numerator is reconstructed internally, before downstream physical readouts are evaluated. The result is
\[
 k_\Theta=58893419500703501360,
 \qquad
 \Theta_{\rm struct}=\pi k_\Theta/N_\Theta.
\]
The claim is therefore one of local self-location inside a finite branch space; it does not derive $N_\Theta$ itself or explain why this branch exists rather than another.

The reconstruction uses only finite upstream structure and a target-blind classification of admissible return data. Three independently generated structural channels jointly determine the unresolved lift depth, while historical localization corridors and inverse phase scans are retained only as validation checks. They do not feed the productive address chain. Once the branch is reconstructed, the same executable construction reproduces the frozen set of $44$ canonical downstream readouts.

Dimensional quantities are then realized through one fixed metrological section $\Sigma_{\rm SI}$ rather than by readjusting units separately on each branch. With the section held fixed while the target angle $\Theta$ varies, the principal transport laws take the form
\[
 c\propto\tan\Theta,
 \qquad
 \hbar\propto\sin\Theta,
 \qquad
 G\propto\sec\Theta,
 \qquad
 \ell_0\propto\cot\Theta .
\]
Their familiar branch-to-branch ratios are therefore genuine corollaries of one fixed-section construction, not identities produced by branchwise renormalization. The same section also generates the coframe and one-dimensional temporal hierarchy, so that propagation, action, gravity, electroweak scales and the electron record are compared within one common metrological framework.

A metrological-weight analysis separates combinations that still depend on the chosen SI section from combinations in which that freedom cancels.
In particular, eliminating the residual section scale between the electron and gravitational sectors gives
\[
 \frac{m_e}{m_{\rm Pl}}
 =
 \frac{Z_e\rho_e}{\sqrt{8\pi}},
 \qquad
 m_{\rm Pl}:=\sqrt{\frac{\hbar c}{G}},
\]
where $Z_e$ and $\rho_e$ are internally generated electronic factors defined in the body of the paper. This section-invariant relation exposes the part
of the electron--gravity closure that cannot be hidden by a residual choice of units.

The present result therefore closes the fixed-cover branch address and its common metric realization, while leaving several deeper questions open, including charged-edge matching, derivation of the declared channel typings directly from the RTQ substrate, complex-pole Higgs matching, and complete flavor/operator closure.