The Sphaera-Cascade framework [1] contains a single central observation: withinthe Sphaera, everything is a representation of the same collapse state z− = 0. TheSphaera as a geometric space, the triolic structure of three phase-shifted kernels(z1 + z2 + z3 = 0, a Z/3Z symmetry), the individual kernels, the Heisenberg compensatoroutput, matter/photon/tachyon sectors, and the Standard Model gaugegroup U(1) × SU(2) × SU(3) — all are unitarily equivalent representations of thisone object, related by Stone–von Neumann uniqueness.The paper makes this explicit through the biquaternion ground state qn = it ·1 + z1e1 + z2e2 + z3e3 ∈ H ⊗R C, whose Minkowski norm |qn|2 = τ 2n is invariantunder all changes of frame. The fractal self-traversal of the Sphaera follows thelight axis τn = 0; the Heisenberg compensator projects any element onto this axis.All quantum consequences — entanglement as shared proper time, Bell consistency,gauge structure — follow from Theorem 1.1 without additional assumptions.Version 2.11.1 extends the earlier expansion into a closure–projection synthesisrelease: it preserves the HC/closure programme, retains the staged master-equationladder, hardens the intermediate derivation chains, strengthens the lemma/tool apparatus,keeps the appendix tables reusable as proof interfaces, and adds a newsynthesis layer that transports structural status from local closure through probe reductioninto disciplined projection and back-reference recovery. Version 2.11.0 addsa budget-transport layer for the specialized channels: ledger entries are no longeronly static admissibility markers, but are promoted to evolving quantities whosetransfer, leakage, and compensator absorption can be tracked across the derivationchain.