Network-Layer Axiom Restatements (N1–N4)

Canonical definition

Network-Layer Axiom Restatements (N1, N2, N3, N4). Four derivative restatements, introduced in Appendix A, Section A.5.7.2, to specify the network layer of the three-layer formalism in the same way M1 through M5b specify the fast layer and B1 through B3 specify the slow layer. N1 through N3 restate Axioms 5, 7, and 8. N4 restates the finite energy budget of Chapter 4, Section 4.1. N1 Observability as Inter-Individual Channel (from Axiom 7 and the Observability Gradient): the exogenous input $m{obs}^{i}(t)$ at the population scale is a realised signal produced by the valuations and behaviours of other Individuals, weighted by the observability-gradient edge weight $\lambda{ij}$. N2 Evidence as Coupling-Mediated Input (from Axioms 5 and 8): coupling-mediated Evidence entering Individual $i$ is a function of the emitted Evidence propositions $Et^{j}$ of other Individuals $j$, weighted by the interpersonal coupling strength $\kappa{ij}$. N3 Non-Commutativity Propagation (from the From-Wang-to-Mechanism derivation): intrapersonal non-commutativity of measurement contexts entails interpersonal coupling as a derived consequence, making path-dependence of Belief trajectories the expected regime at the network scale and the Hilbert-space formalism of Quantum Epistemology the natural language for the network-layer Belief Register. N4 Finite Intake Budgets (from the finite energy budget of Chapter 4, Section 4.1): an Individual's intake of other Individuals draws on two finite budgets. The Observer's intake is a perceptual-selection budget, and the Thinker's intake is a working-memory and deliberation capacity that also carries the I-Override. Both are spent out of the one energy envelope, which bounds them (Appendix A, Section A.5.7.2).