What question did this study set out to answer?

This research aims to explain the origins of CP violation in the Standard Model, specifically through the geometric interpretation of CP-violating phases.

May 18, 2026Open Access

ICCXXI: A Topological Derivation of the CKM and PMNS CP-Violating Phases from Information-Copying Cosmology

Key Points

This research aims to explain the origins of CP violation in the Standard Model, specifically through the geometric interpretation of CP-violating phases.
Utilized the Information-Copying Cosmology framework to derive CP-violating phases from a stochastic copying process.
Determined the phases from a single hierarchy parameter Δ extracted from spectral statistics.
Provided numerical comparisons with existing data and established falsification criteria for future experiments.
Both CKM phase δCKM and PMNS phase δPMNS arise naturally as Berry phases during spectral transport.
No additional free phases were introduced; phases are determined by parameter Δ ≈ 0.10 ± 0.02.
Results suggest a geometric origin for CP violation, aligning with current experimental data.

Abstract

The origin of CP violation in the Standard Model remains unexplained. In the quark sector, the CKM phase δCKM and in the lepton sector, the PMNS phase δPMNS are introduced as free parameters. Within the Information-Copying Cosmology (ICC) framework, spacetime and fields emerge from a stochastic copying process on a discrete simplicial complex. We show that both CP-violating phases arise naturally as geometric (Berry) phases accumulated by defect wavefunctions during spectral transport. No free phases are introduced; both are determined by a single hierarchy parameter ∆ ≈ 0.10 ± 0.02 extracted independently from spectral statistics. We provide explicit derivations, numerical comparison with current data, and sharp falsification criteria for next-generation experiments

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