The Informational Genesis of Early Supermassive
Black Holes

Published: November 2025
10.5281/zenodo.17771376

Abstract

This work introduces a unified informational framework for the formation of early supermassive black holes (SMBHs) — objects observed at redshifts z>10z > 10z>10 whose rapid emergence challenges all conventional models of seed formation, accretion, and cosmological structure growth. Building upon the Unified Informational Physics Ontology (UIPO), the paper demonstrates that SMBHs can arise naturally through two coupled, mathematically defined mechanisms: informational curvature seeding and informational recursion acceleration.

In this model, the universe evolves on an informational manifold

I=(M,F,O),I = (M, F, O),I=(M,F,O),

where MMM is a differentiable informational substrate, FFF are informational fields (entropy, coherence, curvature), and OOO are evolution operators including recursion, projection, and scalar-time deformation. These structures produce an additional curvature term, the informational curvature scalar, which modifies the Einstein–Hilbert action and seeds massive, high-density attractors immediately after recombination.

Growth is then accelerated by nonlinear recursion dynamics and scalar informational time TST_STS, whose evolution obeys:

dTSdt=ΦI⋅Ck⋅TEI,\frac{dT_S}{dt} = \Phi_I \cdot C_k \cdot \text{TEI},dtdTS=ΦI⋅Ck⋅TEI,

where ΦI\Phi_IΦI is informational coherence, CkC_kCk is a coupling coefficient, and TEI is the triadic harmonic equilibrium index inherited from UIPO. This allows super-linear mass amplification without invoking super-Eddington accretion or finely tuned astrophysical conditions.

The resulting formation trajectory:

M(t)=Mseedexp⁡ ⁣[∫0tλI(TS(t′))dt′],M(t) = M_{\mathrm{seed}} \exp\!\left[\int_0^t \lambda_I(T_S(t')) dt'\right],M(t)=Mseedexp[∫0tλI(TS(t′))dt′],

yields SMBH-scale masses (10810^8108–109M⊙10^9 M_{\odot}109M⊙) within the first 100100100 Myr — fully consistent with JWST observations.

This paper provides explicit definitions, mathematical derivations, a comparison to direct-collapse and primordial black hole scenarios, and a set of falsifiable, observational predictions accessible to current and near-future surveys.

Core Structure of the Framework

1. Informational Manifold and Tri-Field Dynamics

The universe is modeled as an informational geometry

I=(M,F,O),I = (M, F, O),I=(M,F,O),

with the informational fields:

• SIS_ISI: informational entropy,

• ΦI\Phi_IΦI: informational coherence,

• φ\varphiφ: informational curvature-coupling field.

The informational Laplacian ΔI\Delta_IΔI and metric gijg_{ij}gij generate curvature terms analogous to (but distinct from) classical Riemannian curvature.

2. Informational Curvature Seeding

The modified action:

S=∫d4x−g[12κ(R+Rinfo)+Lmatter],S = \int d^4x \sqrt{-g} \left[ \frac{1}{2\kappa}(R + \mathcal{R}_{\text{info}}) + \mathcal{L}_{matter} \right],S=∫d4x−g[2κ1(R+Rinfo)+Lmatter],

introduces the curvature scalar:

Rinfo=α∣∇SI∣2+β ΔISI+γφ2,\mathcal{R}_{\text{info}} = \alpha |\nabla S_I|^2 + \beta\,\Delta_I S_I + \gamma \varphi^2,Rinfo=α∣∇SI∣2+βΔISI+γφ2,

creating high-curvature attractors that naturally produce seed masses:

Mseed∼104−107M⊙.M_{\mathrm{seed}} \sim 10^4 - 10^7 M_{\odot}.Mseed∼104−107M⊙.

This eliminates the need for rare direct-collapse environments and explains the abundance of massive seeds near cosmic dawn.

3. Scalar-Time Dynamics and Recursion Acceleration

SMBH growth is driven not strictly by baryonic accretion but by informational recursion:

Xn+1=R1Xn+R2Xn2+R3Xn3,(R1:R2:R3=1:2:3),X_{n+1} = R_1 X_n + R_2 X_n^2 + R_3 X_n^3, \qquad (R_1:R_2:R_3 = 1:2:3),Xn+1=R1Xn+R2Xn2+R3Xn3,(R1:R2:R3=1:2:3),

and by the deformation of informational time:

dTSdt=ΦI⋅Ck⋅TEI.\frac{dT_S}{dt} = \Phi_I \cdot C_k \cdot \text{TEI}.dtdTS=ΦI⋅Ck⋅TEI.

This produces exponential–superexponential amplification:

M(t)=M0exp⁡ ⁣(∫λI(TS)dt),M(t) = M_0\exp\!\left(\int \lambda_I(T_S) dt\right),M(t)=M0exp(∫λI(TS)dt),

allowing rapid black hole formation without violating Eddington limits.

4. Comparison to Standard Cosmological Models

The framework addresses the shortcomings of:

• Stellar-remnant seeds: too small and too slow.

• Direct-collapse black holes: require fine-tuning of metal-free gas, inflow rates, and LW backgrounds.

• Primordial black holes: fail to reproduce observed quasar clustering and luminosity functions.

Informational curvature seeding provides large initial masses, while recursion dynamics provide accelerated growth.

5. Falsifiable Predictions

The framework generates measurable predictions:

1. Non-Gaussian clustering signatures at cosmic dawn due to informational curvature.

2. Scalar-time spectral imprints in quasar variability patterns.

3. Lensing deviations inconsistent with NFW profiles or standard dark matter halos.

4. Early SMBH mass function skewed toward heavier seeds than predicted by DCBH or Pop III models.

These predictions are testable with JWST, Euclid, Roman, SKA, and next-generation time-domain surveys.

Key Contributions

1. A Coherent Informational Framework for SMBH Genesis

Provides a first-principles geometric explanation for seed formation and accelerated growth.

2. Formal Definition of Informational Curvature

Establishes Rinfo\mathcal{R}_{\text{info}}Rinfo as a mathematically grounded extension to curvature dynamics.

3. Non-Baryonic Growth Mechanism

Recursion acceleration provides growth independent of accretion physics.

4. Integration With the Decadic Recursion Matrix

Cosmology, vacuum structure, gravity, and causality are shown to converge within a single informational paradigm.

5. Direct Observational Falsifiability

The model makes clear predictions that can be confirmed or ruled out with current instrumentation.

Reviewer Guidance

Reviewers are invited to assess the manuscript based on:

• internal mathematical consistency of the informational manifold structure,

• clarity and correctness of the curvature-scalar derivation,

• plausibility of recursion-driven growth under informational dynamics,

• alignment between predicted formation trajectories and JWST observations,

• falsifiability of the proposed observational signatures,

• coherence with UIPO principles,

• absence of causal or nonphysical claims.

The framework is intended as a rigorous informational cosmology model, not a modification of general relativity or quantum mechanics.

Keywords

Informational Cosmology,
Supermassive Black Holes,
Cosmic Dawn,
Informational Manifold,
Curvature Seeding,
Scalar Informational Time,
Nonlinear Recursion,
Informational Curvature,
Unified Informational Physics Ontology,
Early Universe Structure,
Quasar Variability,
Gravitational Lensing Signatures,
High-Redshift Astrophysics