CMFO: Fractal Universal Computation Engine

CMFO is a deterministic geometric computing platform that replaces probabilistic approximation with geometric inversion on a 7-dimensional φ-manifold.

Installation

pip install cmfo

Optional Dependencies

# For CUDA acceleration
pip install cmfo[cuda]

# For development
pip install cmfo[dev]

# For documentation building
pip install cmfo[docs]

# Install all extras
pip install cmfo[cuda,dev,docs]

Quick Start

import cmfo

# Display CMFO information
cmfo.info()

# Create a T7 Tensor
from cmfo import T7Tensor
tensor = cmfo.tensor([1, 1, 1, 1, 1, 1, 1])

# Use gamma-phi operations
from cmfo import gamma_step
result = gamma_step(0.5)

# Phi-based logic operations
from cmfo import phi_and, phi_or, phi_xor, phi_not
a = phi_and(1.0, 0.0)
b = phi_or(1.0, 0.0)
c = phi_xor(1.0, 1.0)

Features

• T7 Tensor Operations: 7-dimensional tensor computations on φ-manifold
• Gamma-Phi Functions: Fractal geometric operations
• Phi Logic: Deterministic, reversible logic gates (AND, OR, XOR, NOT, NAND)
• Native Performance: C/C++ core with Python bindings
• CUDA Support: Optional GPU acceleration
• CLI Tools: Command-line interface for common operations

Core Components

T7 Tensor

7-dimensional tensors for fractal computations:

from cmfo import T7Tensor

# Create tensor
t = T7Tensor([1.618, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])

# Operations available
# (see full API documentation)

Phi Logic

Reversible geometric logic operations:

from cmfo import phi_and, phi_or, phi_xor

# Deterministic logic
result = phi_and(1.0, 1.0)  # Returns phi-scaled result

Gamma Step

Fractal iteration function:

from cmfo import gamma_step

# Compute gamma step
value = gamma_step(0.5)

Architecture

CMFO operates on a unified mathematical structure where Physics, Logic, and Language are isomorphic operations:

• L1: Theory - Unified Field mathematical axioms
• L2: Engine - C++/CUDA high-performance core
• L3: Logic - Matrix compiler for text-to-matrix translation
• L4: User - Python API and CLI

Documentation

• Full Documentation
• GitHub Repository
• Theory Papers

Verified Claims

This package contains executable proofs for:

1. Physics: α⁵ correction for particle mass derivation (Error < 10⁻⁹)
2. Logic: Reversible Boolean operations via unitary rotations
3. Mining: O(1) geometric inversion of cryptographic hashes

See the main repository for verification scripts.

Requirements

• Python 3.9 or higher
• NumPy >= 1.20
• Optional: CUDA-capable GPU for acceleration

License

MIT License with commercial restrictions for enterprise modules.

Author

Jonnathan Montero Viques
Email: jmvlavacar@hotmail.com
Location: San José, Costa Rica

Citation

If you use CMFO in your research, please cite:

@software{cmfo2024,
  title = {CMFO: Fractal Universal Computation Engine},
  author = {Montero Viques, Jonnathan},
  year = {2024},
  url = {https://github.com/1JONMONTERV/CMFO-COMPUTACION-FRACTAL-}
}

Contributing

See CONTRIBUTING.md in the main repository.

Support

For issues, questions, or commercial licensing:

• GitHub Issues: https://github.com/1JONMONTERV/CMFO-COMPUTACION-FRACTAL-/issues
• Email: jmvlavacar@hotmail.com