Pattern Field Theory

Pattern Field Theory Expansion: Black hole information turbulence and the Hubble tension

How a fractal information cascade inside black holes maps to PFT’s coherence, scaling, and resonance laws

Pattern Field Theory expansion

Paper: Black hole information turbulence and the Hubble tension — by Juan Luis Cabrera Fernández, Universidad Politécnica de Madrid & Instituto Venezolano de Investigaciones Científicas (March 2025). Open the whitepaper

PFT intro: Pattern Field Theory (PFT) treats black-hole interiors as coherence-seeking fields that organize information flow through scale-coupled cascades. When coherence, efficiency, and stability are jointly optimized under perturbation, PFT predicts bifurcating resonance regimes, quantized scaling behaviour, and bounds on effective “expansion rates.” Cabrera Fernández derives a delayed-cascade model whose fractal dimensions yield two emergent Hubble values; PFT generalizes this as a universal field-cascade phenomenon and adds testable predictions about where the regime switches appear.

1) What the paper shows (in its own terms)

The author models the black-hole interior as a quantum circuit evolving via a delayed logistic map, producing a fractal cascade whose coarse-grained and motif dimensions generate two characteristic growth rates — matching the early and late Hubble constants, ~62.8 and ~70.1 km/s/Mpc. This proposes that the Hubble tension arises from intrinsic fractal dynamics, not observational error.

2) PFT mapping

• Delayed cascade dynamics → PFT field cascade: nested fractal coefficient generation is analogous to a PFT self-organizing transport cascade under perturbation.
• Fractal dimension vs coherence efficiency: coarse-grained vs motif dimension growth mirrors PFT’s scale-dependent Coherence–Efficiency scaling law.
• Dual H₀ values: early/late fractal regimes correspond to bifurcated resonance regimes predicted by PFT under multi-scale structure.
• Topological symmetry: inverse-cascade behaviour reflects Frequency Synthesis symmetry in PFT networks (information modulates geometry).

3) Frequency Synthesis (PFT addition)

This fractal information cascade is not merely turbulence — it is field frequency flowing in discrete generations. PFT interprets this as Frequency Synthesis at cosmic scale: cascading information modulates spacetime geometry, not radiation alone. The dual H₀s emerge as natural “notes” on a resonance curve defined by the cascade’s dimension growth.

4) New predictions (testable)

• Predictive Hubble “notes”: future large-scale surveys should reveal bifurcated expansion regimes traceable to underlying fractal dimension plateaus.
• Field-coherence crossover zones: intermediate redshifts should show transition bands where coherence flips between the two regimes.
• Redshift–fractal coupling: mapping structure dimension vs. redshift should show quantized jumps/plateaus (cascade stage signatures).

5) Where this expands the field’s results

The PFT framing elevates a specific information-cascade model into a universal pattern logic. It unifies black-hole microdynamics, cosmic expansion, and fractal information flow inside one coherence-driven field theory — offering concrete, testable signals for redshift-resonance coupling and new constraints for cosmology and quantum gravity.

In Plain Patterns

Picture the universe humming with echoes inside black holes — repeats that fold back and cascade. Those cascades express two “tempos” of expansion. That mismatch is the Hubble tension. In PFT, those tempos are natural notes in a field’s resonance, not mistakes: the same logic that shapes leaves and networks scales up to the cosmos.