Cosmic Interference Patterns (TEST-07)

The Prediction

Synchronism predicts that galaxy cluster separations show oscillatory modulation at a characteristic wavelength of approximately λ ~ 500 Mpc. The kill criterion is: no oscillatory signal above 3σ detected out to 2000 Mpc in existing survey data (SDSS, DES, DESI).

Why This Would Be Interesting

The Baryon Acoustic Oscillation (BAO) scale is ~150 Mpc — a well-understood feature from the sound horizon at recombination. A signal at ~500 Mpc would not have a known cosmological origin. It would be either (a) an unmodeled systematic, (b) a non-linear coupling not yet identified, or (c) genuinely new physics. This is what makes the prediction potentially valuable: it is distinct from BAO, not a harmonic of it, and not predicted by standard ΛCDM.

What Is Missing

The 500 Mpc scale currently lacks a derivation from the framework's parameters. Without it, this is not a prediction in the scientific sense — it is an exploratory hypothesis (a wavelength somewhere in the cluster regime). To become a sharp falsifier, the scale must be derived from coherence dynamics, with stated uncertainty.

The current test design is asymmetric: any oscillatory signal at ~500 Mpc would support the prediction, but only a null result across the full 2000 Mpc range kills it. A derived scale would make the test symmetric: the predicted amplitude and wavelength both become falsifiable targets, not just the presence/absence of any signal.

Open Questions for Explorer Track

• Does the Synchronism coherence function have a natural large-scale oscillation length? Can it be derived from ρ_crit, γ, H₀, or c?
• What is the cosmological MRH (Markov Relevancy Horizon) for a galaxy cluster, and does it set a ~500 Mpc correlation scale?
• Does applying the Jeans-criterion derivation of ρ_crit at the cluster scale (σ_cluster rather than V_flat) give a characteristic wavelength near 500 Mpc?
• If the scale cannot be derived, should TEST-07 be re-labeled “Exploratory” rather than “Tier-1”?