Mission

To develop and openly share a rigorous, cross-disciplinary framework that explains natural recursion — from molecules to minds — using only measurable variables and falsifiable hypotheses.

  • Publish reproducible models and datasets under open licenses.
  • Bridge thermodynamics, biology, and computation with a single language of recursion.
  • Turn theory into tools: simulations, visualizations, and decision models.

Scientific Approach

Our work formalizes the E³ model — Energy (drivers), Environment (constraints), and Entropy (equilibrator) — and tests it across domains with scaling laws, network analysis, and non-equilibrium thermodynamics.

Methods

  • Non-equilibrium thermodynamics & transport models
  • Fractal geometry & power-law scaling
  • Agent-based & network simulations
  • Statistical learning for model fit and prediction

Principles

  • Fractal recursion across scales
  • Nested equilibria/steady states
  • Entropy as harmonizer (balance, not decay)
  • Emergence via feedback under constraints

Research Pillars

Thermodynamic Foundation

Fractal Entropy → Fractal Equilibrium → Fractal Genesis

Reinterpret entropy and equilibrium, then derive minimal conditions for prebiotic self-organization.

Biological Application

Fractal Evolution → Fractal Mechanics → Fractal Sapience

Scale E³ into evolution, molecular machines, and recurrent intelligence as a thermodynamic attractor.

Systemic Extension

Fractal Consciousness → Fractal Morality → Fractal Spacetime

Model awareness, behavioral dynamics, and theoretical physics using the same recursive formalism.

Team

Juan F. Culajay

Principal Researcher, Independent Research Division

Independent researcher (theoretical & molecular biology). Leads the E³ formalism and Fractalism Series development across thermodynamics, evolution, and cognition.

OpenReview
ORCID
Email

Independent Research Division

Agile, project-based collaboration across institutes and industry. We prioritize open access, reproducibility, and rapid iteration with transparent feedback.

Open Science

Open Science Policy

  • Archival: Zenodo as the canonical repository (DOI + versioning).
  • Visibility: ResearchGate mirror; OpenReview for transparent feedback.
  • Licensing: Prefer CC-BY 4.0 for papers; MIT/Apache-2.0 for code.
  • Reproducibility: Share data, code, and figure generators whenever feasible.

Contact

For collaborations, reviews, or data/code requests: