Observational Tests and Predictions

Current Constraints (2024)

The oscillating brane dark matter theory must satisfy existing experimental bounds:

1. Fifth Force Tests

Newton’s Law at 25 μm

• Current limit: No deviation detected
• Our prediction: L = 0.2 μm (well below detection threshold)
• Verdict: ✓ Compatible

2. Pulsar Timing Arrays

15-year PTA data

• Current limit: h_c < 3×10⁻¹⁵
• Our prediction: h_c ~ 2×10⁻¹⁸
• Verdict: ✓ Silent at current sensitivity

3. Hubble Tension

H₀ dipole anisotropy

• Current limit: < 2%
• Our prediction: 1.5% anisotropy
• Verdict: ✓ Within bounds but potentially detectable

Future Predictions (2026-2030)

Euclid Mission

• Target: Oscillating dark energy equation of state
• Signature: w(z) sinusoidal with A ≥ 3×10⁻³
• Refutation threshold: Signal < 5σ

DESI Full Survey

• Target: Power spectrum modulation
• Signature: ΔP/P = 0.5% at k₀
• Refutation threshold: Smooth spectrum

IPTA Data Release 5

• Target: Gravitational wave background
• Signature: Doublet at f₀ and 2f₀
• Refutation threshold: Pure noise spectrum

H0LiCOW++ Program

• Target: Directional H₀ measurements
• Signature: Anisotropy ≤ 1.5%
• Refutation threshold: Isotropy < 0.2%

Key Observable Signatures

1. Growth Suppression

The oscillating w(z) leads to a 5.2% suppression in structure growth:

D₊^osc/D₊^ΛCDM(z=0) = 0.948

This naturally reconciles:

• Planck S₈ = 0.83
• Weak lensing S₈ ≈ 0.79

2. Gravitational Echo

The membrane reversal creates a unique GW signature:

• Primary peak: f₀ = 1/T ≈ 1.6 × 10⁻¹⁷ Hz
• Echo: 2f₀ (reversal harmonic)

Detectable by SKA-PTA + LISA networks post-2035 if coherence maintained over ≥ 5 cycles.

3. Local Tension Variations

Spatial variations in brane tension induce:

δH/H ≃ ½ δτ/τ₀ ~ 10⁻⁴

Future programs measuring H₀ directionally at 0.05% precision over 10° patches could map this cosmic tension field.

4. Kaluza-Klein Tower

First KK excitation mass:

m_KK = ℏ/(Lc) ≃ 1 eV

Too light for colliders but potentially visible as:

• CMB N_eff deviation
• Ultra-light dark matter component

5. Trans-dimensional Current

Dark matter flux through bulk induces energy dilution:

ρ̇/ρ ~ L⁻¹H₀ ~ 10⁻¹¹ yr⁻¹

Potentially detectable by:

• MADMAX experiment
• NANOGrav precision timing

Bayesian Model Comparison

Current Bayesian evidence strongly favors the oscillating brane model:

Δln K = 3.33 ± 0.24

This represents “strong” evidence on the Jeffreys scale, indicating the data prefer our vibrating cosmos over standard ΛCDM.

Timeline for Discovery/Refutation

• 2025-2027: Euclid first data release - w(z) oscillations
• 2026-2028: DESI full survey - power spectrum features
• 2027-2030: IPTA DR5 - gravitational wave doublet
• 2030-2035: Next-gen H₀ programs - tension anisotropy
• Post-2035: SKA-PTA + LISA - definitive GW signature

The theory makes specific, quantitative predictions across multiple observational channels. The coming decade will either confirm a revolutionary new understanding of cosmic dynamics or definitively rule it out.