Fix lithium anomaly base-10 harmonic tuning

[Sir-Ripley]

Fixes the lithium anomaly calculation in Copy_of_QAG_AVI.ipynb by replacing np.tanh with np.sin. The original code used a step function np.tanh despite the comment explicitly calling for "base-10 harmonic tuning," which implies an oscillatory function over a logarithmic scale. This change resolves the discrepancy and fulfills the user's request.

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PR created automatically by Jules for task 11260312385771613100 started by @Sir-Ripley

Summary by Sourcery

Fix lithium anomaly visualization to use a base-10 harmonic tuning and update astrophysical plot labels to use proper Greek symbols and units.

Bug Fixes:

• Correct the lithium anomaly model to use a sinusoidal base-10 harmonic modulation instead of a step-like activation.

Enhancements:

• Standardize figure labels to use proper Greek characters (κ, Λ) and micro-unit notation (μK²) in plots within the notebook.

Chores:

• Add a .gitignore file to the repository.

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[sourcery-ai]

Reviewer's guide (collapsed on small PRs)

Reviewer's Guide

Updates the QAG AVI analysis notebook to correct the lithium anomaly model to use a sinusoidal base-10 harmonic tuning, standardizes plot labels to use the proper Greek symbols, and adds a repository .gitignore.

File-Level Changes

Change	Details	Files
Correct lithium anomaly model to use sinusoidal base-10 harmonic tuning instead of a step-like transition.	Replace np.tanh-based lithium anomaly factor with a np.sin-based oscillatory factor over log10(z). Keep lithium baseline Li_LCDM model and plotting structure unchanged, only altering the anomaly modulation term.	Copy_of_QAG_AVI.ipynb
Standardize figure labels to use proper Greek characters in plots.	Update kappa-related plot labels from the Latin letter 'k' or 'κ' literal to the Unicode Greek kappa character. Change 'Planck ΛCDM' label to use the Unicode capital Lambda. Change CMB y-axis label to use the Unicode micro sign in 'μK²' instead of the ASCII 'micro-K' representation.	Copy_of_QAG_AVI.ipynb
Introduce a .gitignore file for the repository.	Add a .gitignore file (contents not shown in diff) to exclude common generated or local files from version control.	.gitignore

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[sourcery-ai]

Hey - I've left some high level feedback:

• The change from np.tanh to np.sin introduces oscillations that can drive Li_QAG below zero for some z; consider constraining or shifting/scaling the sinusoid so the lithium abundance remains physically meaningful over the plotted domain.
• Since the lithium term is described as 'base-10 harmonic tuning', you might want to document or adjust the frequency factor (np.log10(z)-8.5)/0.5 to make the intended number of oscillations and phase around 10**8.5 explicit and easier to reason about.

Prompt for AI Agents

Please address the comments from this code review:

## Overall Comments
- The change from `np.tanh` to `np.sin` introduces oscillations that can drive `Li_QAG` below zero for some `z`; consider constraining or shifting/scaling the sinusoid so the lithium abundance remains physically meaningful over the plotted domain.
- Since the lithium term is described as 'base-10 harmonic tuning', you might want to document or adjust the frequency factor `(np.log10(z)-8.5)/0.5` to make the intended number of oscillations and phase around `10**8.5` explicit and easier to reason about.

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