Cross-Registration Consequence Networks in Canonical ACRF-4: Receiver-Conditioned Edge Constitution, Boundary-Controlled Criticality, and a Percolation Conjecture

Scope

The exact ACRF-4 inputs are the two-channel receiver boundary field, receiver quotient, matched receiver-isolated intervention, mean-channel gauge no-go, and finite-amplitude receiver-conditioned quotient dynamics. The reported network-operator values are computational results for the declared 12,000-state reference ensemble, normalized quotient metric, eight-bin finite projection, and outward branching number b=2. The spectral-radius threshold is standard multitype branching mathematics; the current operator tracks consequential incidence rather than complete successor-state propagation. The Cross-Registration Successor Kernel and the stronger Cross-Registration Percolation statement remain theorem/conjecture targets.

Abstract

Registration Theory treats physical registration as a dynamically consequential relation. This paper defines an effective consequential edge from the invariant receiver difference between the canonical ACRF-4 successor and a matched receiver-isolated intervention, then constructs a finite-type cross-registration reproduction operator. In a declared admissible-state ensemble, removal of the exact non-gauge mean channel shifts the operator from rho=1.02091 to rho=0.61267 at a common receiver resolution, while low versus high retained-boundary organization shifts rho from 0.53974 to 1.40048. The paper identifies these RT-internal controls, rather than the standard spectral-radius criterion itself, as the substantive contribution, and defines the Cross-Registration Successor Kernel as the next theorem target for true successor-state propagation.

Relation to other papers

• Builds on Canonical Foundations of Registration Theory
• Builds on Finite-Amplitude Permutation-Quotient Dynamics
• Builds on Particle–Field Trinity Conjugacy
• Builds on Retained History as a Determinant of Boundary Action
• Builds on Six-Mode Host Consequence Structure
• Builds on Consequential Closure Diagnostic
• Extended by Bilateral Participatory Registration in ACRF-4
• Extended by Compact Closure and Noncompact Conjugate Escape

Relevant research claims

• Computational ResultReceiver-conditioned ACRF-4 consequence generates a boundary-sensitive effective network operator

Keywords

• Registration Theory
• ACRF-4
• cross-registration
• receiver-conditioned consequence
• consequential networks
• retained boundary
• boundary consequence
• network criticality
• multitype branching
• spectral radius
• percolation
• Cross-Registration Successor Kernel
• physical coarse-graining