ali-integral 0.3.1

A Python library for calculating Information Flux at the Cauchy Horizon

The Ali Integral: Observable Future Information 🌌

Ali Integral is a Python library implementing the "Vision Theory" — a framework for calculating the maximum observable information at the Cauchy Horizon of a Kerr Black Hole.

It combines General Relativity (gravitational blueshift) with Information Theory (Shannon-Hartley theorem & Landauer's limit) to solve the infinite energy paradox.

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🚀 Quick Start

1. Installation

Install via pip:

pip install ali-integral

2. Usage (The "One-Liner")

You can run a full simulation for famous black holes with a single command:

import ali_integral

# Run simulation for TON 618 (The largest black hole)
ali_integral.run("TON618")

3. Advanced Usage

You can calculate the integral for any custom mass:

import ali_integral

# Calculate for a black hole with 1000 solar masses
ali_integral.run(1000.0)

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📊 Features

• Catalog of Presets: Built-in data for SgrA*, M87*, TON618, CygnusX-1.
• Physics Engine: Calculates g(tau) (blueshift factor) and dynamic Bitrate.
• Crash Detection: Simulates Thermal Crash (when energy flux > structural limit) and Lloyd Limit (computational bound).
• Visualization: Automatically generates plots showing the "Information Horizon".

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🔬 Scientific Background

This library implements the mathematical model described in the paper: "The Ali Integral: Observable Future Information" (2026).

The core metric ($I_{Ali}$) quantifies the total amount of bits a probe can decode before destruction:

$$ I_{Ali} = \int_{0}^{\tau_{crash}} \min(C_{in}(\tau), C_{Lloyd}) d\tau $$

Where:

• $C_{in}(\tau)$: The incoming Shannon capacity, which grows exponentially due to gravitational blueshift ($g \to \infty$).
• $C_{Lloyd}$: The ultimate physical limit of computation (Landauer's limit), determined by the probe's effective energy.
• $\tau_{crash}$: The moment of Thermal or Structural failure (when Radiation Pressure > Material Strength).

Observable Signature: "Perturbation.A"

Version 11.0 of the theory predicts a specific deformation of the black hole's photon sphere caused by internal information pressure. This library includes visualization tools to generate the expected EHT signature (Difference Map).

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📄 Citation

If you use this code or the theoretical framework in your research, please cite it using the following BibTeX entry:

@misc{ali2026integral,
  author       = {Ali},
  title        = {The Ali Integral: Observable Future Information},
  year         = {2026},
  publisher    = {Zenodo},
  version      = {10.0},
  doi          = {10.5281/zenodo.18135385},
  url          = {https://doi.org/10.5281/zenodo.18135385}
}

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👨‍💻 Author

Ali (Troxter222)

• Independent Researcher in AI & Theoretical Physics.
• GitHub: Troxter222
• Research Profile: Zenodo

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Licensed under the MIT License. Copyright © 2026 Ali.