Mersenne Primes within the Temporal Dynamics Framework: Computational Verification and phi-to-pi Decoherence Analysis

Key Points

• The aim is to analyze Mersenne primes using the Temporal Dynamics Framework to understand their classification and verification.
• Applied the Temporal Dynamics Framework for analysis.
• Utilized the revised resonance function and Universal Prime resonance for dual-state classification.
• Conducted validation against the OEIS sequence A000043.
• Performed 28 verification tests to ensure results accuracy.
• Observed decoherence frequencies ranging from 70-97% across different prime ranges.
• All 52 known Mersenne primes successfully analyzed.
• Verified that all 28 tests passed, supporting the findings.

Abstract