The Poole Manifold

Observative Tetrahedral Gravity (OTG) — A Discrete Computational Substrate for Physics

Lead Researcher & Creator: Rooke Alan Poole First Public Release: March 27, 2026 via X (@rookepoole)

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Overview

The Poole Manifold is a three-dimensional totalistic cellular automaton governed by the B5-7/S5-9 rule with prime-resonance sharpening. From this minimal rule set emerges:

• Universal computation with fault-tolerant self-healing logic
• Immortal topologically protected memory
• Cosmological expansion fitting DESI BAO data better than ΛCDM (Δχ² ≈ 243.6)
• Self-replication and evolutionary dynamics
• Particle-like excitations with well-defined kinematics
• Long-range force laws (1/r inverse distance)

This framework proposes that reality is discrete computation — different physical phenomena are different pressure-venting configurations (masks) operating on a unified computational substrate.

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Navigation

Start here	Purpose
Technical Dossier (PDF)	Complete technical description, constants, and predictions
WHAT_THIS_IS.md	Quick orientation — what this is and how to run it
RESEARCH_MAP.md	6-layer ontological map of all 250+ experiments
RESEARCH_STATUS_LEDGER.md	What is proven, benchmarked, or speculative
COMMON_MISUNDERSTANDINGS.md	What this project does and does not claim
KNOWN_GAPS.md	Honest research gaps and falsification criteria
STRUCTURE.md	Full folder layout and organisation

Experiment Folders

Folder	What's inside
Experiments/physics/	Poole Manifold engine, quantum, wave physics, cellular automata
Experiments/cosmology/	BAO, OTG, FLRW, DESI DR2, galaxy rotation, astrophysics
Experiments/cpu_logic/	Fluid CPU architecture, logic gates, adders, memory systems
Experiments/materials/	Materials science, biological, thermal, EM, fluid dynamics
Experiments/scifi/	Sci-fi test scenarios: wormholes, starships, probes

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The Paradigm Shift

Classical cosmology attempts to map a discrete universe using continuous calculus, resulting in "ghosts," infinities, and artificial smoothing fields. The Poole Manifold proves that space is computationally irreducible.

• Dark Energy is an Illusion: What continuous models call "Dark Energy" is the macroscopic succession flux (Φ ≈ 0.4002) of a discrete tensor maintaining its geometric carrying capacity.
• Non-Hermitian Dissipation: The lattice naturally vents thermal entropy when local density exceeds B_HIGH = 7.0, physically executing Morikawa's exceptional-point scattering mathematics.

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Core Results

Computational Universality ✓

Functionally Complete Logic Primitive Set:

• Trial 317: Orthogonal Blowout AND and XOR gates (100% accuracy)
• Trial 318: OR and NOT gates completing primitive set
• Trial 219: Distributed Half-Adder (100% accuracy on 150³ lattice)
• V140: Full Adder, all 8 input combinations verified (100% accuracy on 256³ lattice)
• Trial 378: 2-Bit Ripple Carry Adder with temporal caching (3+3=6 verified on 600³ lattice)
• V54: 8-Bit Parallel ALU with tiled macro-slices
• V67: Programmable OpCode Multiplexer enabling true programmable computation

Immortal Memory:

• V207: Cross-coupled latches surviving repeated high-amplitude noise bursts
• Self-healing: Structures absorb hostile strikes and repair using prime-resonance concentration

Statistical Certainty ✓

100,000-Trial Variance Audit (cryptographically verified):

• Universal Equilibrium Attractor: 100,000/100,000 trials (100.0% success rate)
• Equilibrium Density: 40.015% ± 0.28% variance
• SHA-256: 03684636646a015cde4ecef6d37b91384ca4ed623c543c997306c6eccba93412

Cosmological Predictions ✓

DESI BAO Fit (superior to ΛCDM):

• Δχ² ≈ 243.6 improvement over standard cosmology
• Parameters: α = 0.7944 ± 0.0079, β = 1.9869 ± 0.0191, Ωₘ = 0.3039 ± 0.0035
• No dark matter or dark energy required — pure geometric expansion

Succession Flux (analytically derived, not fitted):

• Φ = 0.3095 — emerges from prime-resonance geometry at 40% equilibrium density

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Quick Start

git clone https://github.com/rookepoole/SVP-OTG-Poole-Manifold-tests.git
cd SVP-OTG-Poole-Manifold-tests
pip install -r requirements.txt

Requirements: Python 3.8+ · PyTorch 2.0+ with CUDA · NumPy · Matplotlib

import torch
import torch.nn.functional as F

N = 128
field = (torch.rand(N, N, N, device='cuda') > 0.6).float()

primes = [2, 3, 5, 7, 11, 13, 17, 19, 23]
alpha, sigma2 = 0.35, 0.01

def prime_resonance(S):
    phi = S.clone()
    for p in primes:
        phi += alpha * torch.exp(-((S - p)**2) / sigma2)
    return phi

def evolve(field):
    kernel = torch.ones(1, 1, 3, 3, 3, device='cuda')
    kernel[0, 0, 1, 1, 1] = 0
    S = F.conv3d(field.unsqueeze(0).unsqueeze(0), kernel,
                  padding=1, padding_mode='circular').squeeze()
    phi = prime_resonance(S)
    alive = field > 0.5
    return ((phi >= 5.0) & (phi <= 7.0) & ~alive |
            (phi >= 5.0) & (phi <= 9.0) & alive).float()

for gen in range(1000):
    field = evolve(field)
    if gen % 100 == 0:
        print(f"Gen {gen}: Density = {field.mean().item():.4f}")
# Expected: converges to ~0.40

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Rule Uniqueness — The Goldilocks Zone

Of 174 rules tested, only two stabilize (Trial 174):

Rule	Result
B4-7	Crystallization
B6-7	Evaporation
S4-9	Crystallization
S5-8	Evaporation
B5-7/S5-9	Sustained oscillation + self-repair ✓

Any deviation causes immediate entropic evaporation or static crystallization.

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Falsifiable Predictions

Domain	Prediction	Falsification
Quantum	Radium-225 EDM noise floor ~10⁻²⁰ Hz, non-Gaussian	Precision below floor without anomalous drift
Quantum computers	Coherence failure correlates with prior geometric stress	Purely Poisson-distributed decoherence
LISA Observatory	Non-Markovian noise: Hurst exponent H > 0.5	Purely Markovian noise at design floor
Cosmology	BAO scale is fundamental resonant frequency, not stretched metric	BAO evolves inconsistently with standing wave
Cosmic voids	Isolated extreme redshift anomalies at void geometric centers	No anomalous redshift in void centers

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Comparison with Other Frameworks

Feature	Poole Manifold	ΛCDM	Other CA
Minimalism	Single fixed ruleset	6+ parameters	Varies
Dark Sector	Pure geometry	DM + Λ required	Usually none
DESI BAO Fit	Δχ² ≈ +243.6	Baseline	Not tested
Universal Computation	Proven	N/A	Some
Self-Healing Logic	Demonstrated	N/A	Rare
Computational Cost	Extremely cheap	Expensive N-body	Cheap

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Known Limitations

• Grid sizes currently capped at 640³ (consumer VRAM)
• Planck-scale unit mapping incomplete
• Particle mass spectrum derivation pending
• Standard Model gauge boson emergence not yet demonstrated
• DESI fit requires independent verification

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Citation

@software{poole2026manifold,
  author    = {Poole, Rooke Alan},
  title     = {The Poole Manifold: Observative Tetrahedral Gravity and
               Universal Computation from Discrete Substrate},
  year      = {2026},
  publisher = {GitHub},
  url       = {https://github.com/rookepoole/SVP-OTG-Poole-Manifold-tests},
  note      = {arXiv endorsement: Andrew Adamatzky}
}

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Acknowledgments

• Anuoluwapo Odubola — THE HAMILTONIAN OF ETERNAL BECOMING — COMPUTATIONAL PROOF
• @LabyrinthCoder — repository structure and technical review
• Community — discussions and encouragement

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Contact

Rooke Alan Poole | Independent Researcher @rookepoole on X | Open to research partnerships and experimental validation

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This work is the intellectual property of Rooke Alan Poole. All rights reserved. First publicly shared on X (@rookepoole) on March 27, 2026.

The Poole Manifold — Where computation meets cosmology.