Published February 6, 2026
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STRAP: Spacetime as Topological Response to Anomalous Patchwork:A Holographic Framework for Emergent Gravity, Dark Matter, and CMB Anomalies
Description
STRAP is a non-Markovian gravitational framework in which spacetime dynam-
ics emerges from a boundary memory kernel, with a single critical exponent
fixed 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 a
fundamental holographic boundary. Adopting Wheeler’s “It from Bit” philosophy as an
operational principle, STRAP treats information—not geometry—as ontologically primary.
The boundary carries an obstruction field [ω] measuring local gluing incompatibilities, which
relaxes with a scale-dependent timescale τS . For physical length scales, τS (L) ∝ Lα (larger
systems relax slower); equivalently, for CMB multipoles l ∼ 1/L, we have τS (l) ∝ l−α (lower
multipoles relax slower). This hierarchy naturally explains why large-scale modes remain
frozen 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 anomalies
as imprints of unrelaxed low-l modes. The framework offers an alternative to inflation by
adopting a closed (Klein-like) boundary topology where initial conditions are inherited from
the previous cosmological cycle via Penrose’s conformal rescaling mechanism. We derive the
relaxation equation from the Schwinger-Keldysh formalism for open quantum systems and
calibrate the model using rotation curves of 171 SPARC galaxies, obtaining χ2/dof ≈ 1.86
with a correlation κH ∝ M 0.38±0.05
bar . The framework makes falsifiable predictions: laboratory
measurement 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 universe
computes 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 total
information relaxation.
Keywords: holographic principle, emergent gravity, dark matter, dark energy, CMB anoma-
lies, entropic cosmology, Loop Quantum Gravity, It from Bit
2
ics emerges from a boundary memory kernel, with a single critical exponent
fixed 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 a
fundamental holographic boundary. Adopting Wheeler’s “It from Bit” philosophy as an
operational principle, STRAP treats information—not geometry—as ontologically primary.
The boundary carries an obstruction field [ω] measuring local gluing incompatibilities, which
relaxes with a scale-dependent timescale τS . For physical length scales, τS (L) ∝ Lα (larger
systems relax slower); equivalently, for CMB multipoles l ∼ 1/L, we have τS (l) ∝ l−α (lower
multipoles relax slower). This hierarchy naturally explains why large-scale modes remain
frozen 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 anomalies
as imprints of unrelaxed low-l modes. The framework offers an alternative to inflation by
adopting a closed (Klein-like) boundary topology where initial conditions are inherited from
the previous cosmological cycle via Penrose’s conformal rescaling mechanism. We derive the
relaxation equation from the Schwinger-Keldysh formalism for open quantum systems and
calibrate the model using rotation curves of 171 SPARC galaxies, obtaining χ2/dof ≈ 1.86
with a correlation κH ∝ M 0.38±0.05
bar . The framework makes falsifiable predictions: laboratory
measurement 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 universe
computes 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 total
information relaxation.
Keywords: holographic principle, emergent gravity, dark matter, dark energy, CMB anoma-
lies, entropic cosmology, Loop Quantum Gravity, It from Bit
2
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Additional details
Dates
- Created
-
2026-02-05