What question did this study set out to answer?

This research aims to explore the directional features of the CMB associated with the MTN-G framework and the Temporal Layering conjecture.

June 26, 2026Open Access

DIRECTIONAL CMB PARITY ASYMMETRY AND THE MTN-G WINDOWED POWER SPECTRUM: A Pre-Registered Spherical-Cap Patch-Scan Analysis of Planck 2018 PR3 Data

Key Points

This research aims to explore the directional features of the CMB associated with the MTN-G framework and the Temporal Layering conjecture.
Conducted a spherical-cap patch-scan analysis of Planck 2018 PR3 data.
Executed H3 Bayesian factor tests using Variational Inference across parameter space.
Verified hypotheses H1 and H2 based on published Planck 2018 results.
D5 windowed spectrum significantly improved fit to Planck 2018 TT band-powers (ln B = 50.2).
Bayesian model comparison revealed directional model probability ~10¹⁷⁸ times greater than isotropic model.
Hypothesis tests H1 (TT suppression > 2.5σ) and H2 (E/B parity > 2σ) validate from Planck outcomes.

Abstract

ABSTRACT The Non-Hermitian Algebraic Gravity framework (MTN-G) derives spacetime geometry as a thermodynamic phase transition from a Type III₁ von Neumann algebraic substrate. At the cosmic Exceptional Point (EPᵈ), eigenvector coalescence archives pre-geometric modular coherence into the Sparse-Reservoir Substrate Memory (SRSM) network, leaving a spectral scar: a k²-suppressed primordial power spectrum at wavenumbers k 2. 5σ) and H2 (E/B parity > 2σ) both pass from published Planck 2018 VII results (3. 5σ and 2. 1σ; foreground 2. 0), indicating the directional Temporal Layering model is ~10¹⁷⁸ times more probable than isotropic D5 given Planck data. Two additional falsifiable predictions advance the falsifiability architecture: H4 (T-E cross-correlation RTE 0 at ℓ=2–5), both testable on existing Planck data once island direction is determined. The MTN-G core framework (D1–D6) is not falsified. The Temporal Layering conjecture is now SUPPORTED, contingent on H4 and H5 validation. Upgrade to S3 (definitive) epistemic grade pending full nested sampling on Planck PR3 Q/U polarisation maps with exact Plikₗite likelihood. Keywords: MTN-G · Non-Hermitian Algebraic Gravity · Temporal Layering · Exceptional Point · Type III₁ von Neumann algebra · emergent spacetime · primordial power spectrum · k²-suppression · CMB low-ℓ anomalies · quadrupole suppression · E/B parity asymmetry · directional power spectrum · Planck 2018 PR3 · Bayesian model comparison · MultiNest · Bayes factor · pre-registration · falsifiability

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