STRAP is a non-Markovian gravitational framework in which spacetime dynam-ics emerges from a boundary memory kernel, with a single critical exponentfixed by laboratory–galaxy scaling and predictive across astrophysical and cos-mological regimes.We propose STRAP (Spacetime as Topological Response to Anomalous Patchwork), a frame-work in which bulk spacetime emerges as a response to informational inconsistencies on afundamental holographic boundary. Adopting Wheeler’s “It from Bit” philosophy as anoperational principle, STRAP treats information—not geometry—as ontologically primary.The boundary carries an obstruction field [ω] measuring local gluing incompatibilities, whichrelaxes with a scale-dependent timescale τS . For physical length scales, τS (L) ∝ Lα (largersystems relax slower); equivalently, for CMB multipoles l ∼ 1/L, we have τS (l) ∝ l−α (lowermultipoles relax slower). This hierarchy naturally explains why large-scale modes remainfrozen while small-scale modes equilibrate, producing: (i) apparent dark matter as local [ω]gradients, (ii) apparent dark energy as homogeneous residual [ω], and (iii) CMB anomaliesas imprints of unrelaxed low-l modes. The framework offers an alternative to inflation byadopting a closed (Klein-like) boundary topology where initial conditions are inherited fromthe previous cosmological cycle via Penrose’s conformal rescaling mechanism. We derive therelaxation equation from the Schwinger-Keldysh formalism for open quantum systems andcalibrate the model using rotation curves of 171 SPARC galaxies, obtaining χ2/dof ≈ 1.86with a correlation κH ∝ M 0.38±0.05bar . The framework makes falsifiable predictions: laboratorymeasurement of τS in Casimir systems, specific CMB multipole ratios, and anomalous po-larization at Hawking points. If confirmed, STRAP would unify dark sector phenomenology,CMB anomalies, and quantum gravity within a single informational principle: the universecomputes itself into existence. Notably, we argue that Dark Energy is not a vacuum fluctua-tion, but the irreducible topological frustration of a Klein-bottle boundary preventing totalinformation relaxation.Keywords: holographic principle, emergent gravity, dark matter, dark energy, CMB anoma-lies, entropic cosmology, Loop Quantum Gravity, It from Bit2