Colossians 1:17 holds together
Logos Field chi(x,t) = self-grounding informational substrate
"Logos" (λόγος) means "word, reason, pattern, principle" in Greek. It was philosophical terminology (Heraclitus, Stoics) before it was theological (John 1:1). We use it because it captures the semantic nature of the field—it carries meaning, not just syntax. If "Logos" offends, call it "χ-field" and lose the historical resonance.
The χ-field is defined to explain phenomena we already observe:
Predictions are developed in Papers 5-12. The field is not ad hoc; it's the minimal postulate required to ground information ontology.
Excellent question—this is addressed in [[014_P2.2_Chi-Semantic-Content|P2.2]] (Chi Semantic Content). The χ-field is self-interpreting because it includes consciousness (the observer) as an emergent property. The meaning isn't external to χ; meaning arises when χ configures into conscious patterns (Φ > 0). The Logos is both message and reader.
If the properties required of a self-grounding informational substrate with semantic content and consciousness match the properties theologians attribute to God, that's convergence from independent starting points. We're not assuming God; we're deriving that something God-like must exist. The identification is explicit in [[066_ID7.1_Terminal-Observer-Is-God|ID7.1]].
See [[012_E2.1_Master-Equation-First-Form|E2.1]] (Master Equation First Form): χ = ∫(G·K)dΩ where G = geometry, K = [[029_D4.1_Kolmogorov-Complexity|Kolmogorov complexity]], Ω = configuration space. This is the first form—subsequent axioms refine it. Klein-Gordon-like dynamics (∂²χ/∂t² - ∇²χ + m²χ = 0) give propagation. The full Master Equation is in [[146_E19.1_Full-Master-Equation|E19.1]].
The χ-field as scalar field:
Analogous to known scalar fields in physics:
| Field | Symbol | Role | Equation |
|-------|--------|------|----------|
| Higgs | φ | Mass generation | (∂² + μ² - λ|φ|²)φ = 0 |
| Inflaton | ϕ | Cosmic inflation | φ̈ + 3Hφ̇ + V'(φ) = 0 |
| Dilaton | σ | String theory | e^σ couples to gravity |
| χ-field | χ | Information substrate | See [[012_E2.1_Master-Equation-First-Form|E2.1]] |
Key difference: χ is ontologically prior to spacetime. The others exist "in" spacetime; χ generates spacetime.
Formal definition:
\chi: M \rightarrow \mathbb{R}
Where M is the spacetime manifold (or pre-geometric structure if spacetime is emergent).
Properties:
1. Scalar: χ transforms as Lorentz scalar (χ' = χ under boosts/rotations)
2. Real-valued: χ(x) ∈ ℝ (no phase = no gauge symmetry)
3. Continuous: χ is C∞ (smooth) or at least C² (twice differentiable)
| Domain | Mapping |
|---|---|
| Physics | Physical Instantiation |
| Theology | Divine sustaining |
| Consciousness | Neural correlates |
| Quantum | Hilbert space |
| Scripture | Colossians 1:17 holds together |
| Evidence | No counterexample |
| Information | Physical storage |
Bridge Count: 7