
This paper gives the total-system review of Algebraic Quantum Morphogenesis (AQM)on the basis of the first eighteen component papers, synchronized with Papers XVII and XVIII in the gravitational sector and with several recent topical revisions.This review is not a simple concatenation of the component papers,nor does it re-prove every technical detail.Its purpose is to provide a unified map from a finite noncommutative neck algebra to low-energy observable cosmology and particle-spectrum outputs. The main AQM chain is M2(C) → SAQM → KAQM → Fib → Toric(e) → Z3→ ASM → B ∂ → (dspace = 3,T = φ)→ cosmological and particle-spectrum outputs. The review explains the logical relations among the minimal noncommutative neck algebra,legal state space,main dynamical framework, lexicographic K-functional,three-step condensation path, StandardModel-type finite algebra,exclusion of low-energy local ∆B = 1 operators,the boundary-center readout theorem,the three-dimensional spatial spectral dimension,the boundary time field,the dark-energy Arrhenius constant,Hubble time rescaling,CMB amplitude layering, S 8 damping,the three-step condensation gravitational-wave spectrum, and the finite Dirac particle-spectrum structure. The text uses proof levels L0–L6 throughout,in order to avoid mixing definitions,conditional theorems,identification lemmas,dynamical outputs,semi-hard predictions,and outlook-level conjectures. 1 The review emphasizes that AQM has currently reached the stage of“conditional structural closure +several semi-hard numerical audits +multiple falsifiable predictions.” Papers XVII and XVIII have advanced the Lorentzian/Einstein form limit and the three-step condensation gravitational-wave spectrum,but the absolute normalization of Newton’s constant,a complete single dynamics for quantum gravity, and a full global observational likelihood are not yet fully closed.These problems are explicitly listed as the most important theoretical gaps for the next stage. The review also organizes the early intuition“time equals entanglement exit”into the structural chain among the Wilson-line complement projection,boundary entanglement entropy,and center-condensation progress: ⟨W ⟩ = 1 −φ, SEE = −SPl ln⟨W ⟩, T = 1 −e−SEE/SPl = φ. In a single-branch,approximately constant-rate,minimal condensation model, SE˙E = SPlΓ3 may be used as an L4 conditional dynamical output for boundary entanglement exit.It is not a universal theorem of constant entropy-flow rate,and it does not imply that“time stops”or that the second law of thermodynamics has been unconditionally derived.
