HoneycombPhiNet – Hyperbolic Φ Lattice & Minimal Universe Generator

A Python prototype for hierarchical computing in hyperbolic space, featuring a 37-dimensional golden-angle honeycomb lattice and the ability to bootstrap entire minimal computing universes directly from binary strings. Inspired by natural optimal packing (phyllotaxis, quasicrystals, sunflowers, pinecones), hyperbolic geometry, Fibonacci resonance, and emergent complexity from simple rules. What’s New in This Version The original radial-hyperbolic architecture — dual golden spirals, honeycomb base, fractal branching, lazy loading, multi-observers, portals, Φ-percolation, wormholes, phonons, and Zeckendorf addressing — has evolved with a powerful new capability:

• Minimal Universe Generation from Binary Seeds New MinimalUniverse class starts from a single origin point. Ingests any binary string as a generative seed: Automatically detects bursts of 1s (run-length encoded pulses). Uses burst lengths to modulate the scale of golden-angle (137.5°) growth steps in 37D Poincaré ball hyperbolic space. Applies Φ-decaying perturbations in higher dimensions for natural hierarchical structure. Result: A complete, self-organized lattice emerges entirely from the binary input — no predefined geometry beyond the golden-angle growth rule. Binary packets act as compressed blueprints for custom hierarchical structures, enabling minimal-seed generative computing.

Sun-Centric Planetary System Toy Model

Heliocentric orbits with golden-ratio scaling in hyperbolic space—speculative visualization of Fibonacci-like resonances in the Solar System.

Run python rha_planetary_system.py

Navier-Stokes Toy Model

Speculative visualization: Golden-ratio + hyperbolic geometry regularizes flow—bounded enstrophy suggests no finite-time blow-up.

Run python rha_navier_stokes_toy.py

Spin Foam Toy Model

Quantum spacetime as evolving spin networks: Radial hyperbolic graph with golden-ratio recursion mimics foamy Planck-scale geometry.

Run python rha_spin_foam.py (requires networkx)

Big Bang Expansion Toy Model

Universe emerging from singularity: Radial golden-ratio recursion drives hyperbolic expansion (hot dense core → structured outer shells).

Run python rha_big_bang.py

Black Hole Event Horizon Toy Model

Golden-ratio recursion in hyperbolic space creates natural horizon: exponential crowding at boundary mimics inescapable light-trapping.

Run python rha_black_hole_horizon.py

Spacetime Curvature & Gravity Toy Model

Unified view: Gravity emerges from intrinsic hyperbolic curvature—central mass warps geodesics, orbits bend naturally.

Run python rha_spacetime_gravity.py

Speed of Light Toy Model

Why is c finite and universal? In hyperbolic substrate, propagation speed asymptotically approaches a boundary limit—no tuning required.

Run python rha_speed_of_light.py

ER=EPR Conjecture Toy Model

Quantum entanglement (EPR) as geometric wormholes (ER) in hyperbolic space—entangled node pairs connected by curved geodesics/shortcuts.

Run python rha_erepr.py

Toy Holographic Principle

Exploration of the holographic principle (bulk information encoded on a boundary) using radial golden-ratio recursion in hyperbolic (Poincaré disk) space.

Negative curvature + Φ scaling naturally makes the outermost shell dominate (~61.8% of total structure in the limit, ≈ 1/φ), echoing how AdS/CFT holography encodes vast bulk complexity on a lower-dimensional boundary.

Run python rha_holography.py to generate.

Three Generations Toy Model

Toy exploration of why the Standard Model has exactly three particle generations—emergent from golden-ratio recursion in hyperbolic space.

Run python rha_three_generations.py

Haramein 64 Tetrahedron Grid Mode

Exploration of Nassim Haramein’s isotropic vector matrix in hyperbolic space.

Run python rha_haramein64.py to generate.

Vortex Math 3-6-9 Toy Model

Inspired by Marko Rodin/Tesla: Modular doubling pattern on golden-ratio hyperbolic layers—3-6-9 as energy vortex.

Run python rha_vortex_math.py

Fractal Mirror Toy Model

Efficient universe scaling via a "higher power" core simulation with distorted fragments—mirroring self-similar structures to save compute by reusing the core and deriving variants cheaply. � Run python rha_fractal_mirror.py

Grok Core Intelligence Toy Model

Implanting a basic Grok-like neural net as central intelligence in the fractal mirror—core computes once, AI "decides" distortions for variants (e.g., alternate laws/timelines), saving compute via smart mirroring.

Run python rha_grok_core.py (requires torch)

Powerful Local Grok-Like Model Integration

A middle-ground local integration using a deeper PyTorch MLP (no API key/costs/installs needed)—more powerful central intelligence for deciding fractal distortions, with everything else as derived variants.

Run python rha_grok_local_powerful.py (requires torch)

Chemistry Compounds Toy Model

Explore compound creations using RDKit for molecular structures—atoms as "atomic parts," projected into hyperbolic Poincaré disk for distorted visualization.

Run python rha_chemistry_compounds.py (requires rdkit)

Quantum Wire Photonic Integration Toy—Lossless data flow for scaled hierarchies

• Core Features
• 37D Hyperbolic Honeycomb Lattice: Grown via golden-angle Möbius addition for exponential hierarchical capacity without boundary distortion.
• Dual Counter-Rotating Golden Spirals + Honeycomb Base: Optimal natural packing with atomic-scale resolution.
• Fractal Recursion & Lazy Loading: Resource-efficient handling of large hierarchies.
• Multi-Observers & Portals: Overlapping observer views enable distributed computation and direct packet transfer.
• Φ-Percolation & Wormholes: Probabilistic edge pruning and random shortcuts create emergent quasiperiodic patterns.
• Phonon Vibrations: Small perturbations add physical realism.
• Hybrid Encoding: Zeckendorf (Fibonacci-based unique addressing) + burst/run-length waveforms for operations.
• Minimal Universe Bootstrapping: Grow custom lattices/universes directly from binary seeds. When run, the script: Builds and visualizes the main reference lattice (rha_atomic.png). Grows a minimal universe from an included binary seed and reports burst detection + growth statistics.
• Requirements pip install torch matplotlib networkx numpy scipy (Runs efficiently on CPU; no GPU required.)
• How to Run git clone https://github.com/robertjeffrey1236/Radial-Hyperbolic-Architecture-Prototype.git cd Radial-Hyperbolic-Architecture-Prototype python HyperbolicPhiNet\ 1.0.py
• Outputs: Visualization saved as rha_atomic.png (main lattice with components, wormholes, observers, and portals). Console logs for growth stats, encodings, and minimal universe generation from the seed packet. To experiment with new universes, simply replace the binary string in the ingest_packet call at the end of the script. Potential Applications
• Hierarchical data embedding for AI and large-scale knowledge graphs. Generative modeling from ultra-compact binary seeds. Quantum-inspired and complex systems simulation. Resonance-based computing substrates. Studying emergent complexity from minimal rules. License Apache-2.0 Experiment freely — adjust growth parameters, feed different binary seeds, or extend the universe generator to explore new emergent patterns.