Zero Point Spiral v4: Layer Map v2.2, the Bidirectional Projection Model, and the Observation Operator

Note: This version is published as a historical snapshot of the state of ZPS in the first half of 2026. Four points have been revised by subsequent research; see the note following the abstract. This version develops the observation-operator component of ZPS: it gives the compressive direction of generation a concrete operator, the observation operator Ow , and formalizes the visibility and whitening of difference. We separate the intrinsic difference an object carries from the difference a given window reports, and give a discriminator theorem separating object-side symmetrization (δint = 0 ) from observation-side projection collapse (δint 6= 0 , kOwδintk εw ). The Layer Map v2.2—a thirteen-layer, three-act organization of the generative stages—and the bidirectional projection model (generation as the expansive direction, observation as the compressive one) are used as an operational schema for situating observation, not as a completed taxonomy. We further distinguish the morphogenetic generation system (ZPS-13G) from the cognitive circulation system (ZPS-10C) as two readings of a common core.