The Entropic Principles
of Organization

A theoretical framework proposing dual entropic drives as fundamental organizing principles

Paul Phillips
Development: 2010-2024
Philosophy studies at Drew University → Comprehensive framework

Dual Entropic Framework

EPO-D (Dispersive)

Classical thermodynamic entropy: $\frac{dS}{dt} \geq 0$

  • Energy dispersion and heat generation
  • Cosmic expansion and dark energy
  • Quantum decoherence processes
  • Arrow of time emergence

EPO-I (Integrative)

Information entropy: $\frac{dS_{info}}{dt} \leq 0$ (Vopson's Law)

  • Information integration and complexity
  • Structure formation and organization
  • Consciousness as integrated information
  • Gravitational effects from complexity
🌌

Dark Matter Problem

27%

of universe unexplained by Standard Model

Dark Energy Problem

68%

of universe driving accelerated expansion

🧠

Consciousness Gap

0%

integration in current physics frameworks

Mathematical Foundations

Fundamental EPO Equations

Dispersive Entropy (EPO-D)

$$\frac{dS_D}{dt} = \frac{\dot{Q}}{T} + \sigma_{irr} \geq 0$$

Where $\sigma_{irr} \geq 0$ represents irreversible entropy production

Integrative Entropy (EPO-I)

$$\frac{dS_I}{dt} = -\int \Phi(\mathbf{r},t) \cdot \nabla \mu(\mathbf{r},t) d^3r \leq 0$$

Where $\Phi$ is integrated information and $\mu$ is information potential

Information-Gravity Coupling

$$G_{eff}(\mathbf{r}) = G_0 \left(1 + \alpha \frac{\Phi(\mathbf{r})}{\Phi_0}\right)$$

Parameters

  • $G_0$: Newtonian gravitational constant
  • $\alpha$: Information-gravity coupling constant
  • $\Phi(\mathbf{r})$: Local integrated information
  • $\Phi_0$: Reference information scale

Implications

  • Gravity strength varies with information complexity
  • Explains "dark matter" effects without exotic particles
  • Links structure formation to information integration
  • Predicts enhanced gravity in organized systems

Information-Mass Equivalence (Vopson)

$$m_{info} = \frac{I \ln(2)}{c^2}$$

Where $I$ is information content in bits, providing a testable prediction for particle-antiparticle annihilation experiments.

10⁻³⁵ kg

Mass of 1 bit of information

2.2 × 10⁸

Bits in 1 gram of matter

10⁴³

Bits stored in observable universe

Observational Evidence

Galaxy Rotation Curves

Standard dark matter models predict specific velocity profiles. EPO predicts that rotation curves should correlate with galactic information complexity rather than just baryonic mass distribution.

ΛCDM Prediction v ∝ √(M_DM + M_bar)
EPO Prediction v ∝ √(M_bar × Φ_complexity)

JWST Early Galaxy Formation

JWST observations show galaxies formed earlier and more massive than ΛCDM predictions. EPO's information-driven structure formation naturally explains accelerated early galaxy assembly.

ΛCDM Expectation
Gradual assembly over ~1 billion years
JWST Observations
Massive galaxies at z > 10 (< 500 million years)
EPO Explanation
Information integration accelerates structure formation

Testable Predictions

Bullet Cluster Test

Gravitational lensing should correlate with information complexity maps derived from observable properties, not just mass distribution.

Complexity Index = f(Temperature⁻¹, Velocity Dispersion⁻¹, Structural Coherence)
Expected: r > 0.8
Correlation between lensing and complexity

Information-Mass Detection

Particle-antiparticle annihilation should show measurable mass discrepancy corresponding to information content.

Δm = I×ln(2)/c²
Mass difference due to information erasure
Requires precision of ~10⁻³⁵ kg measurement

Consciousness Detection Framework

Φ Measurement

Integrated Information Theory metrics

$$\Phi = \min_{M} D(p(X_t|X_{t-1}^M), \prod_i p(X_t^i|X_{t-1}^M))$$

Physical Signatures

Observable information integration

  • • Neural connectivity patterns
  • • Information flow dynamics
  • • Causal structure complexity

EPO Predictions

Consciousness thresholds

Φ > Φ_critical = threshold
∇·S_I < 0 = integration

Research Collaboration

About This Work

The EPO framework represents 14+ years of theoretical development by Paul Phillips, beginning with philosophical studies at Drew University. This work synthesizes insights from information theory, consciousness studies, and modern physics to address fundamental questions about the nature of reality.