Fields and Waves from Completed Events: A QTT Source-to-Observation Reconstruction

How finite source updates become interference, field equations and detector records \[ {{gathered} sₙ₊₁=U_A s_n, U_A^T U_A=I,\\ p_y(n)=\|Ky,RU_A^n s_0\|^2,\\ ∑_y Ky,R^T Ky,R=I. {gathered}} \] QTT constructs wave and field behaviour from a finite source: real phase dials, admitted updates and completed receiver records. The paper carries that source through an exact two-path interference calculation, normalized sequential instruments and a quantitative detector-error bound. A smooth continuum field is not an additional starting substance in this construction. When does a field image contain enough information? A projected field has an autonomous linear update exactly when the source information it omits cannot feed back into view: \[ {gathered} C_RU_A=V_RC_R\\ \\ U_A C_R⊆ C_R. {gathered} \] Two worked sources have the same present retained image and opposite future output ports. The paper then constructs finite electromagnetic Gauss, Faraday and work balances, connects the inherited exact wave propagator to its smooth limit, and gives an A2 gravitational source reading. The reconstruction states its source metric, transport, instrument and count-completion premises explicitly. It distinguishes finite addresses from finitely many possible phase states, and physical source selection from mathematical representation. The ideal matched quantum calculation also requires no outcome fitting. The reconstruction archive includes full source, the scientific illustration, three numerical tables, 1,109 deterministic checks and 15 mutation checks. These are reproducible mathematical fixtures, not new experimental observations. The fixed finite-wave residual retains its separate laboratory-access and sensitivity requirements. Stable paper DOI · Wave Dynamics · Completed-Event Transport · Main Book · Corpus Tree