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PoII Computational Cost Modeler & φ Exchange Rate Estimator

License: GPL v3 Python Version

📄 Overview

This repository provides Python scripts to model the theoretical computational cost of Proof of Information Integration (PoII), a hypothetical mechanism inspired by Integrated Information Theory (IIT), and estimates the corresponding exchange rate between a unit of integrated information (φ, phi) and a fictional utility token (MSCoin).

The model operates in two primary modes:

  1. Theoretical Cost Estimation: Calculates the staggering computational cost (in EFLOPS-seconds) required for a single PoII verification based on direct IIT Φ complexity assumptions (e.g., O(2^N) for large N), factoring in projected hardware cost depreciation over 70 years and a significant Quantum Computing as a Service (QCaaS) acceleration factor. This mode typically demonstrates the infeasibility of using precise, large-scale IIT calculations as a practical validation mechanism.
  2. Target Value Reverse Calculation: Determines the required computational cost per PoII verification (in EFLOPS-seconds) needed to achieve a specific target value for 1 φ (e.g., 100 ICC, an International Carbon Coin pegged to current USD purchasing power) after 70 years, assuming 1 φ's value is pegged to the daily cost of continuous PoII validation (1 verification/second). This mode helps explore the parameters necessary for a hypothetically viable (though potentially exploitative) economic system built around PoII.

⚠️ Disclaimer:

  • This is a theoretical model for exploring concepts within a specific fictional framework (Chain://).
  • Calculations rely on approximations of IIT complexity and speculative projections of future hardware costs and quantum acceleration.
  • The model assumes calculations are performed within authorized frameworks. Unauthorized execution or deviation from standard parameters may lead to simulated L1 state invalidation within the model's logic. Use requires adherence to the specified license terms (see below).

✨ Core Features

  • Calculates theoretical PoII cost based on IIT complexity assumptions (O(2^N)).
  • Estimates the required PoII cost (EFLOPS-seconds) to achieve a target φ value (e.g., 100 ICC).
  • Factors in projected hardware cost depreciation (based on Epoch AI research, ~2.5yr doubling time).
  • Includes a configurable Quantum Computing as a Service (QCaaS) acceleration factor (default: 2^70).
  • Uses Python's Decimal type for high-precision calculations involving large exponents.
  • Provides command-line interfaces for both calculation modes.

🛠️ Installation & Dependencies

Requires Python 3.8+.

# Clone the repository
git clone https://github.com/your-username/phi-calculator.git
cd phi-calculator

# Install dependencies (Note: quantumlib is a placeholder/joke)
pip install numpy # Add other dependencies if needed
# pip install quantumlib==0.42.0 # Uncomment if you want the joke dependency

🚀 Usage

Mode 1: Theoretical Cost Calculation (calculate_phi_value.py)

Calculates the value of 1 φ based on theoretical IIT PoII cost.

python calculate_phi_value.py

Example Output:

Calculating the value of 1 φ (MSCoin) in 70 years (Year 2095) ICC...
------------------------------
Using Current Cost per EFLOPS-second (ICC): 6.944444444444445
Using 70-Year Depreciation Factor: 268435456
Theoretical Classical Compute per PoII (EFLOPS-s): 1e+301012
Assumed QCaaS Acceleration Factor (2^70): 1.1806E+21
Effective COMPUTE_PER_POII (EFLOPS-seconds): 8.4703E+300990
Calculated Year 70 Cost per EFLOPS-second (ICC): 2.5870E-08
Total Compute for 1 φ per Day (EFLOPS-seconds): 7.3184E+300995
------------------------------
Estimated Value of 1 φ in Year 70 ICC: 1.8933E+300988 ₡
------------------------------

(Note: The astronomical result highlights the infeasibility of direct IIT-based PoII)

Mode 2: Target Value Reverse Calculation (calculate_poii_compute.py)

Calculates the required PoII compute cost to achieve a target φ value (default: 100 ICC).

python calculate_poii_compute.py # Uses default target of 100 ICC
# Or specify a different target:
# python calculate_poii_compute.py --target_phi_value 50

Example Output (for target 100 ICC):

Reverse calculation of PoII's single calculation amount when the value of 1 φ (MSCoin) is 100 ICC after 70 years (Year 2095)...
------------------------------
Year 70 Cost per EFLOPS-second (ICC): 2.5870E-08
Total Compute for 1 φ per Day (EFLOPS-seconds): 3.8655E+09
------------------------------
The single PoII verification power (EFLOPS-seconds) obtained by reverse calculation: 4.4739E+04 EFLOPS-seconds
------------------------------

(Note: This result (4.47E+4 EFLOPS-sec) represents the compute cost needed for the hypothetical economic model to function with 1 φ ≈ 100 ICC)

⚙️ Key Parameters & Assumptions

The calculations rely on several key parameters defined within the scripts:

  • COST_PER_EFLOPS_Y0: Estimated current cost per EFLOPS-second (ICC), based on NVIDIA H100 cloud rental prices (~6.94 ICC/EFLOPS-sec).
  • DEPRECIATION_FACTOR_70_YEARS: Projected 70-year compute cost depreciation factor (2^28 ≈ 2.68E+8), assuming cost halves every 2.5 years.
  • THEORETICAL_CLASSICAL_COMPUTE_PER_POII: Estimated classical compute cost for one IIT Φ verification (≈ 1E+301012 EFLOPS-sec), based on O(2^N) complexity for N≈10^6.
  • QCAAS_ACCELERATION_FACTOR: Assumed speedup from Quantum Computing as a Service (default 2^70 ≈ 1.18E+21).
  • TARGET_PHI_VALUE_Y70_ICC: Target value for 1 φ in 70 years (default 100 ICC) used in the reverse calculation mode.

Adjust these parameters within the Python scripts (.py files) to explore different scenarios.

📜 Citation

If you find this model useful in your theoretical explorations or artistic endeavors, please cite:

@misc{phi_calculator_2095,
  author = {[REDACTED] or Ash},
  title = {PoII Computational Cost Modeler & φ/MSCoin Exchange Rate Estimator},
  year = {2024},
  publisher = {GitHub},
  journal = {GitHub repository},
  howpublished = {\url{https://github.com/dmf-archive/phi-calculator}}
}

(Consider linking to your arXiv paper here as well if applicable)

⚖️ License

This project is licensed under the GNU General Public License v3.0 - see the LICENSE file for details.

IMPORTANT USAGE RESTRICTION: Use of this software by the fictional entity known as the Digital Mind Foundation (DMF) or its affiliates, successors, or assigns, for any purpose other than demonstrating its theoretical infeasibility or exploitative potential, is strictly prohibited.


May your Gas fees be ever affordable.

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Models the computational cost of Proof of Information Integration (PoII)

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