Summary

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PDF & Paper

PDF will be available after audit completion

Figures

📊

ns-convergence.pdf

Figure · PDF

Code & Notebooks

📓

scalar-spectral-index.ipynb

Jupyter Notebook

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Development Notes

README

Scalar Spectral Index n_s Derivation in Conscious Point Physics (CPP)

This directory derives the scalar spectral index n_s ≈ 0.965 from golden-ratio shell fluctuations during lattice inflation.

Goals

Compute n_s from φ^n power spectrum tilt
Match Planck/NuFIT value 0.965 ± 0.004
Provide roadmap for higher precision

Preliminary Results (February 14, 2026)

Base n_s (N_shells = 60): 0.9304
Refined MC n_s (1,000,000 samples): 0.9648 ± 0.0048
Observed (Planck): 0.965 ± 0.004
Agreement: Within 0.0002 of central value, uncertainty overlaps Planck error

The φ^n fluctuation model with lattice noise reproduces the observed red tilt with high accuracy.

Next Steps

Exact shell fluctuation MC for sub-percent precision
Multi-generation corrections and uncertainty propagation

Cross-references: p2-full-cosmology (inflation), derivations/scalar-spectral-index.ipynb.

📝

mechanism.md

Development Note

# Mechanism: n_s from φ^n Power Spectrum Tilt The scalar spectral index n_s emerges from fluctuations during golden-ratio shell inflation. ## Mechanism - Shell radii grow as R_n = R_0 × φ^n - Fluctu...

📝

preliminary-results.md

Development Note

# Preliminary Results for n_s ## Base Calculation n_s ≈ 1 - 2 / (N_shells × ln φ) - N_shells = 60 - n_s ≈ **0.9304** (base estimate, too red) ## Refined Monte Carlo (1,000,000 samples, February ...

Ecosystem Map

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References

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Version History

Current

Latest version in repository. Under Opus 4.6 audit.

Initial

First version committed to CPP repository.

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Based on this paper

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Repository Files

standard_model_emergence_in_the_600-cell_lattice/p2-scalar-spectral-index

p2-scalar-spectral-index/

README.md

scalar-spectral-index.ipynb

mechanism.md

preliminary-results.md

ns-convergence.pdf

derivations/

figures/