We extend the pseudovolume framework through three new constructions and fiveindependent structural validations spanning quasicrystal physics, geometriccoding theory, holographic coding, topological phases, and structuralbioinformatics. The construction produces a 131-point icosahedral quasicrystal via projectionof the integer lattice Z^4 onto the parallel subspace via an explicitA5-equivariant lifting matrix. Exact arithmetic is carried by the quadraticfield Q(phi) = {a + b*phi : a,b in Q} (phi = (1+sqrt(5))/2), which closesunder G-metric inner products. Building on this, we construct the QPhiPEPS: aprojected entangled pair state whose physical indices are the 131 quasicrystalsites and whose virtual bond indices lie in Q(phi)^4. The bond contractiontheorem establishes that every G-metric contraction of adjacent bond vectors isa pure rational, so the MERA coarse-graining hierarchy terminates in Q. Five structural validations confirm connections to independent scientificdomains: (1) Quasicrystal/icosahedral materials: A5 symmetry of the 131-pointsample verified algebraically and via golden-ratio pair-correlation spacing.(2) Geometric coding theory: the ring F2[x]/(x^6-1) contains a [6,2,4]constant-weight code; three MDS codes are identified. (3) Holographic coding:all four bulk parameters are exactly recoverable from boundary observables; theMERA circuit is the explicit bulk encoding map. (4) Tensor networks/topologicalphases: QPhiPEPS realizes the Fibonacci string-net model on the 131-sitequasicrystal with bond dimension chi=2, quantum dimension d_tau=phi; thetopological phase is non-abelian and universal for topological quantumcomputation. (5) Structural bioinformatics: A5 acting on the twenty standardamino acids produces exactly two orbits of size 10.