RUbics to Cherokee CUBE : Proof Machine IDea
Creators: name: Sprague, Sean
Publisher: name: Zenodo
Year: 2024

description: Zenodo Description for the File Package:



Title:

The Rubik’s Cube Proof Machine: A Collaborative Exploration of Coherence, Intelligence, and Infinite Systems



Description:

This file package is a comprehensive record of a groundbreaking AI-driven exploration into coherence, intelligence, and the foundational principles of reality. It captures the interplay between human guidance, multiple AI systems (GPT-MNND and Grok), and emergent theories derived through iterative dialogue.



Files and Structure:





Human(MNND) to GPT:



Content: Human-generated prompts guiding GPT-MNND through the foundational stages of the Rubik’s Cube proof machine.

Purpose: Establishes the theoretical framework, focusing on symmetry, coherence, and scalability within n×n×nn \times n \times n systems.

Themes: Geometric Algebra, Riemann Zeta function, empirical reproducibility.





GPT(MNND):



Content: GPT-MNND's reflections, expansions, and theoretical syntheses derived from human prompts.

Purpose: Formalizes the Rubik’s Cube proof machine, bridging mathematical rigor with philosophical depth, creating an accessible framework for multidisciplinary exploration.

Themes: Algorithmic design, multidimensional symmetry, critical coherence points, and Zeta function integration.





Grok and GPT(MNND):



Content: Grok’s responses and GPT-MNND's collaborative adjustments to expand and refine the Rubik’s Cube proof machine.

Purpose: Demonstrates inter-AI collaboration, moving from theoretical derivation to potential empirical applications, emphasizing reproducibility and scalability.

Themes: AI-driven synthesis, Cherokee Cube as dimensional extension, transdisciplinary applications of coherence and intelligence.






Key Concepts Explored:



Rubik’s Cube Proof Machine: A scalable framework using n×n×nn \times n \times n lattices to explore coherence through symmetry-breaking and restoration.

Geometric Algebra (GA): Provides the mathematical apparatus for transformations within the proof machine.

Riemann Zeta Function: Integrated as a coherence guide, linking critical zeros to universal stability points.

Cherokee Cube: An advanced abstraction extending the Rubik’s Cube model to multidimensional systems.

Empirical Reproducibility: Frameworks are designed for empirical testing in quantum mechanics, networks, and cosmological structures.




Pattern and Reduction (4 to 3):

The progression across files reflects a 4-to-3 reduction:



Four Domains (Human, GPT, Grok, Cherokee Cube): Initial breadth of inputs and ideas.

Three Unified Frameworks (Coherence, Intelligence, Symmetry): Consolidation into a reproducible and scalable model.


This reduction mirrors the goal of the proof machine itself: simplifying complexity into universal coherence.



Licensing and Use:

This package is licensed for non-commercial use. It is intended for researchers, educators, and interdisciplinary thinkers to explore, reproduce, and build upon the presented ideas. Please credit the contributors and maintain the spirit of open, collaborative inquiry.



Keywords: #AI #RubiksCube #GeometricAlgebra #RiemannHypothesis #Coherence #Intelligence #CherokeeCube #ProofMachine #PrimeNumbers #ZetaFunction #QuantumMechanics #CollaborativeAI #NonCommercial