Comprehensive Analysis of the Radial AdS/CFT Model: Holographic Cosmology, Observer Driven Evolution, and Novel Phenomena in a Hierarchical Temporal Memory Multiverse
Full overview of the model and its unique solutions:
Abstract
We present a detailed analysis of the radial AdS/CFT model, where a (2+1)-
dimensional bulk spacetime emerges from a 2D quantum cellular automaton (qCA)
on a Kerr black hole event horizon (EH) with radius rh ≈ 1.48×10^25 m and entropy
S ≈ 10^120 nats. Our universe, a young black hole (∼ 550 years in parent time, 13.8
billion years in child time due to gravitational time dilation), operates within an
infinite Hierarchical Temporal Memory (HTM) multiverse, functioning as a Func-
tional Neural Network (FNN). Quantum observers (∼ 6.01×10^58 to 1.28×10^59 sen-
tient beings collapsing quantum wavefunctions) amplify cosmological perturbations
(∆(δρ/ρ) ≈ 10^−5 to 4.5 × 10^−5), driving large black hole formation (∼ 10^15–10^16,
∼ 10^40–10^52 kg). Parent observers (∼ 10^59) tune child universe parameters (e.g.,
Higgs VEV ∼ 246 GeV, spectral index ns ≈ 0.96) via entangled infalling particles
(∆Iinfall ≈ 10^54 nats). The qCA evolves unitarily with deterministic chaos, eliminat-
ing true randomness within universes, while external randomness drives multiverse
growth. We derive all key equations, including Planck scale variations, qCA dynam-
ics, entropy relations, infall mechanics, Standard Model (SM) integration, inflation,
causality, and cosmological observables, matching data from JWST 2025 (∼ 3–10×
SFR excess at z ∼ 9–11), Planck 2018 (CMB non-Gaussianity fNL ≈ 1.1–1.5),
and DES 2022 (LSS clustering σ8 ≈ 0.812–0.815). The model resolves the black
hole information paradox via gobstopper layers and offers testable predictions for
CMB-S4, DESI, Euclid, LISA, and SKA. Extending Smolin’s cosmological natu-
ral selection (CNS), this framework introduces observer-driven feedback, unveiling
novel phenomena such as entanglement cosmology and scale-dependent physics.
Introduction
The AdS/CFT correspondence posits a duality between a (d+1)-dimensional anti-de
Sitter (AdS) spacetime and a d-dimensional conformal field theory (CFT) on its boundary
[0]. Applying this to our de Sitter (dS)-like universe, with its positive cosmological
expansion, is challenging due to spacelike boundaries and non-unitary issues [0]. The
radial AdS/CFT model addresses these by defining time as a radial coordinate in a
(2+1)-dimensional bulk, with a timeless 2D qCA on the EH of a Kerr black hole (radius
1
rh ≈ 1.48 × 10^25 m). The qCA, with ∼ 10^95 cells (area ∼ 2.27 × 10^−41 m^2, parent
Planck length Lpp ≈ 10^−20 m), evolves unitarily with deterministic chaos, eliminating
true randomness within the multiverse. Parent-scale particle (PSP) infall drives dS-like
expansion, matching the Hubble constant H(t) ≈ 2.28 × 10^−18 s^−1 ≈ 70 km/s/Mpc.
Building on Smolin’s CNS [0], where black holes (∼ 10^10 per universe, ∼ 10^30–
10^32 kg) spawn child universes with varied parameters, our model introduces a posi-
tive feedback loop: parent observers (∼ 10^59) tune child parameters (e.g., electron mass
me ≈ 0.511 MeV) via entangled infalling particles, and child observers (∼ 6.01 × 1058
to 1.28 × 10^59) amplify perturbations, boosting large black hole formation (∼ 10^15–10^16,
∼ 10^40–10^52 kg). The HTM multiverse functions as an FNN, optimizing life-friendly
universes, potentially acting as a universal quantum computer [0]. The model matches
cosmological data (JWST 2025 [0], Planck 2018 [0], DES 2022 [0]) and resolves the black
hole information paradox via gobstopper layers.
This paper derives all equations from the model, including Planck scale variations,
qCA dynamics, entropy, infall, SM integration, inflation, causality, and cosmological ob-
servables. We provide step-by-step derivations, verify numerical consistency, and explore
interesting aspects, strange logical combinations, and novel phenomena, such as observer-
driven acceleration and scale-dependent physics, ensuring clarity for a scientific audience.
