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README: ENSO Framework Validation Scripts
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Author: Eric Needham
Affiliation: ENSO Framework (Eric Needham Scientific Ontology)
Website: www.ensotheory.com
Contact: eric@ensotheory.com
Location: Agios Onoufrios, Crete, Greece

Date: January 2026

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OVERVIEW
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This repository contains three Python validation scripts that accompany the
paper "Quantum Gravity from Vacuum Recursion:". These scripts demonstrate the derivation of fundamental
physical constants from first principles using only the transcendental 
constants pi, phi (golden ratio), and e (Euler's number).

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SCRIPTS INCLUDED
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1. planck_frequency_derivation.py
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   Validates the derivation of the Planck frequency from Trinity constants.
   
   Formula: log10(f_Planck) = pi^2 * phi * e - 1/(phi^2 * e)
   
   Result: 99.9991% accuracy
   
   The script:
   - Defines the Trinity constants to full floating-point precision
   - Calculates the experimental Planck frequency from CODATA values
   - Computes the generative term (pi^2 * phi * e)
   - Computes the damping correction (1/(phi^2 * e))
   - Compares with experimental value and reports accuracy


2. speed_of_light_derivation.py
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   Validates the derivation of the speed of light from Trinity constants.
   
   Formula (simple): c = [e(e - phi) + 1/140] x 10^8 m/s
   Formula (refined): c = [e(e - phi) + 1/(140 + 1/26)] x 10^8 m/s
   
   Result: 99.999934% accuracy (simple), 99.9999992% accuracy (refined)
   
   The script:
   - Calculates the main term e(e - phi) representing constraint dynamics
   - Applies the quantized correction term 1/140
   - Demonstrates the continued fraction refinement 1/(140 + 1/26)
   - Investigates the harmonic generator 10(pi*phi*e + e/(pi*phi*e))
   - Shows that integer 140 gives better accuracy than harmonic approximation
   - Reports accuracy for both simple and refined formulations


3. quantum_gravity_rvt_validation_v2.py
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   Comprehensive validation script for the full RVT (Recursive Vacuum 
   Topology) framework including NSC (Needham Scaling Constant) calculations,
   fine structure constant derivation, and related physical predictions.
   
   Key validations:
   - Fine structure constant: alpha^-1 = 10*pi*phi*e - ln(pi) [99.996% accuracy]
   - NSC values and relationships
   - Vacuum frequency calculations
   - Trinity constant relationships
   
   The script provides extensive output documenting each calculation step
   and comparing predictions against experimental values.

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REQUIREMENTS
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- Python 3.x (tested with Python 3.8+)
- Standard library only (math module)
- No external dependencies required

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HOW TO RUN
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From the command line:

   python planck_frequency_derivation.py
   python speed_of_light_derivation.py
   python quantum_gravity_rvt_validation_v2.py

Or on Unix/Linux/Mac:

   python3 planck_frequency_derivation.py
   python3 speed_of_light_derivation.py
   python3 quantum_gravity_rvt_validation_v2.py

Each script will output its calculations and results to the console.

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DISCLAIMER
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These scripts accompany a theoretical physics paper proposing that fundamental
physical constants emerge from mathematical relationships between the 
transcendental constants pi, phi, and e. 

This work represents ongoing research and should be considered a working paper.
The high-accuracy predictions presented here (99.99%+) are remarkable but do
not constitute proof of the underlying theoretical framework. Independent
verification, peer review, and further theoretical development are required.

The author makes no claims regarding the completeness or finality of these
derivations. The formulas presented may be subject to revision as the 
theoretical framework develops.

Users are encouraged to verify all calculations independently and to approach
these results with appropriate scientific skepticism while remaining open to
the possibility that fundamental constants may indeed have deeper mathematical
origins.

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LICENCE
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This work is licensed under the Creative Commons 
Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

You are free to:
- Share: Copy and redistribute the material in any medium or format

Under the following terms:
- Attribution: You must give appropriate credit, provide a link to the license,
  and indicate if changes were made.
- NonCommercial: You may not use the material for commercial purposes.
- NoDerivatives: If you remix, transform, or build upon the material, you may
  not distribute the modified material.

Full license text: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode

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CITATION
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If you use these scripts or the associated theoretical framework in your work,
please cite:

Needham, E. (2026).Quantum Gravity from Vacuum Recursion: ENSO Framework Working Paper. 
Zenodo. [DOI to be assigned]

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CONTACT
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Eric Needham
ENSO Framework
www.ensotheory.com
eric@ensotheory.com

For questions, corrections, or collaboration inquiries, please contact the
author via email or through the ENSO Framework website.

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