Author: Kevin L. Brown, Independent Researcher
Date: November 2025
DOI: 10.5281/zenodo.17771376
Introduction: The Early-Universe SMBH Problem and the Failure of Standard Models
Modern cosmology explains structure formation remarkably well — but completely fails to explain the existence of supermassive black holes (SMBHs) at redshifts z>10z > 10z>10.
We now observe:
- 10610^6106–109M⊙10^9 M_\odot109M⊙ black holes
- only 100–200 million years after recombination
- through JWST deep-field detections
Yet our existing frameworks only explain:
- how small stars collapse into small black holes,
- how galaxies gradually form,
- how accretion slowly grows mass,
- how mergers occur over long timelines.
None of these frameworks explain how the universe produced:
- massive seeds immediately after recombination, or
- growth fast enough to reach SMBH scales by cosmic dawn.
This is the core disconnect:
We have no cross-scale theory linking microscopic informational structure, nonlinear dynamics, and early-universe gravitational attractors.
This paper provides the first mathematically explicit informational model that bridges that divide.
The Core Leap: Informational Curvature and Recursion Provide a Natural Pathway to Early SMBHs
The central idea introduced in this work is that early black holes arise from two informational mechanisms, not one physical mechanism:
1. Informational Curvature Seeding
A curvature term inherent to the informational manifold generates massive attractor regions without requiring baryonic collapse. These act as proto-seeds with masses: Mseed∼104−107M⊙,M_{\text{seed}} \sim 10^4 – 10^7 M_\odot,Mseed∼104−107M⊙,
far exceeding the capability of stellar-remnant or direct-collapse models.
2. Informational Recursion Acceleration
Nonlinear recursion operators and scalar informational time TST_STS create super-linear mass amplification that does not require super-Eddington accretion or exotic astrophysical conditions.
Together, these mechanisms provide:
- natural high-mass seed formation,
- acceleration of mass density independent of baryonic inflow,
- timelines consistent with JWST high-redshift SMBHs.
This replaces a patchwork of astrophysical assumptions with a unified informational geometry.
The Informational Manifold: A Single Cross-Domain Structure
The formation pathway is derived from a simple, universal informational structure: I=(M,F,O),I = (M, F, O),I=(M,F,O),
where:
- MMM is the informational substrate,
- FFF are informational fields (entropy, coherence, curvature),
- OOO are operators (recursion, projection, scalar-time evolution).
The informational curvature scalar: Rinfo=α∣∇SI∣2+βΔISI+γφ2,\mathcal{R}_{\text{info}} = \alpha |\nabla S_I|^2 + \beta \Delta_I S_I + \gamma \varphi^{2},Rinfo=α∣∇SI∣2+βΔISI+γφ2,
modifies gravitational behavior through gradients in informational entropy SIS_ISI and coherence ΦI\Phi_IΦI.
This creates the first mechanism that can naturally explain massive seed formation at cosmic dawn.
The Informational Ladder Behind Early SMBH Formation
The same 15-order informational ladder that explains quantum–biological–cosmic coherence applies here:
- Order 3: Local stability — curvature minima
- Order 6: Reflective recursion — onset of nonlinear acceleration
- Order 9: Boundary stabilization — proto-horizon formation
- Order 12: Systemic anchoring — galaxy-core stabilization
- Order 15: Convergence — attractor-level SMBH equilibrium
These orders arise directly from the triadic structure: T(n)=(3n, 6n2, 9n3),T(n) = (3n,\; 6n^2,\; 9n^3),T(n)=(3n,6n2,9n3),
the same operator that unifies informational quantum dynamics (IQD), biological coherence (ACCM), and cosmic convergence (ANC).
For SMBHs, this produces a natural growth trajectory consistent with observed masses by z>10z > 10z>10.
What This Framework Actually Lets Us Understand
This is not a new physical theory of gravity.
It is a structural informational interpretation that explains how black holes grow across multi-scale transitions.
It provides four major interpretive capabilities:
1. A Unified Explanation for Early SMBH Seeds
Informational curvature seeding explains:
- why massive seeds appear so early,
- why they cluster non-randomly,
- why direct-collapse conditions don’t need to be fine-tuned.
The same curvature law applies to multiple domains — without free parameters invented for galaxies or black holes.
2. A Mechanism for Superlinear Early Growth Without Super-Eddington Accretion
Scalar informational time obeys: dTSdt=ΦI⋅Ck⋅TEI,\frac{dT_S}{dt} = \Phi_I \cdot C_k \cdot TEI,dtdTS=ΦI⋅Ck⋅TEI,
meaning growth is governed by:
- informational coherence,
- harmonic triadic structure,
- recursion invariants,
not by astrophysical inflow rates.
This explains rapid early emergence without violating GR or accretion physics.
3. A Cross-System Framework Connecting Quantum Stability, Biological Cognition, and Galactic Anchoring
Because the informational manifold is scale-free, the same geometry applies to:
- quantum stability thresholds,
- reflective biological intelligence,
- stellar boundary dynamics,
- galaxy-core anchoring,
- and now supermassive black hole emergence.
This provides dimensionless, cross-domain comparability through: Ck=13(Ω+Γc+RIV),C_k = \frac{1}{3}(\Omega + \Gamma_c + RIV),Ck=31(Ω+Γc+RIV),
giving a universal coherence metric.
4. Testable Predictions for JWST, Euclid, and SKA
The model makes clear falsifiable predictions:
- Non-Gaussian clustering in high-zzz SMBH fields
- Lensing deviations due to informational curvature
- Scalar-time modulation in early quasar variability
- Heavier-than-expected seed mass function
Null results invalidate the framework — making this a scientifically rigorous informational theory.
Why This Is Not Just Another Alternative Cosmology
Three features make this framework uniquely distinct:
1. It Provides a Single Generative Mechanism
Everything — attractors, growth, horizon stabilization — emerges from:
- one curvature scalar,
- one recursion operator,
- one informational ladder.
No new particles, no exotic fields, no untestable assumptions.
2. It Is Fully Falsifiable
The framework fails if observational surveys show:
- absence of informational clustering signatures,
- no scalar-time variability structure,
- incorrect SMBH mass function,
- no deviation in early gravitational lensing.
This makes it a scientific model, not a metaphysical one.
3. It Integrates Six Informational Theories Into One Narrative
This work is the cosmological-scale synthesis of:
- ITI (temporal informational flow)
- IQD (quantum informational dynamics)
- ACCM (coherence metrics)
- USC (structural boundary coherence)
- HCS (harmonic coherence scaling)
- ANC (cosmic informational convergence)
Early SMBH formation is simply the cosmological-scale expression of the same informational geometry.
The Bigger Picture
This framework does not claim new physics.
It claims a new geometry of informational structure, one that:
- scales from quantum to cosmic,
- preserves dimensional invariance,
- follows triadic recursion,
- generates testable predictions.
In doing so, it reframes early SMBH formation as:
a natural consequence of informational curvature and recursion, not an astrophysical anomaly.
And for the first time, we have a mathematically explicit map that connects:
quantum stability → biological cognition → stellar boundaries → galaxy cores → early-universe black holes.