Integrating Referential Centration Theory (RCT) and Information‑Field Interaction (IFI) Kernel
Author: MPSoL / Containment Unit 7 – Semiotics Division
Date: 16 June 2025
This document consolidates two complementary models developed by MPSoL: (1) Referential Centration Theory (RCT), which reframes gravity as symbolic adherence, and (2) the Information‑Field Interaction (IFI) kernel, which governs dynamic signal, distortion, and belief‑actuator terms within the Simulation. We demonstrate formal compatibility, provide an integrated mathematics, and outline operator workflow for tactical coherence control.
RCT defines gravity as emergent referential coherence. Key
variables:
• Centration Index 𝐶_i = (R_c · B_i) / D_{i,c}^α
• Φ_c, the centration potential, with ∇Φ_c = R_c / D^α
• Inversion transform: R_c(t+Δt)=−R_c(t)
IFI treats information density I as diffusive, damped by distortion
potential Ψ, and driven by belief‑actuator input B_a:
∂I/∂t = κ∇²I − λΨ + βB_a
Signal density σ = ∇·(∇B_a) and Signal‑Distortion Index SDI = ∫σ² /
∫Ψ².
The bridge—belief and coherence:
| Concept | IFI Term | RCT Term |
|---|---|---|
| Central Attractor | — | R_c |
| Belief Density | B_a (source) | B_i (state) |
| Distortion | Ψ | α (turbulence exponent) |
| Signal Density / Gradient | σ | ∇Φ_c, ∇C_i |
| Stability Metric | SDI | mean 𝐶_i across region |
Combining kernels yields a coupled system:
1. Centration evolution:
∂C_i/∂t = (β/R_c) ∇²B_a − λ (Ψ/R_c) + κ ∇²C_i
2. Information density:
∂I/∂t = κ∇²I − λΨ + βB_a
where Ψ = f(C_i, Φ_c) encodes local turbulence; α becomes dynamic: α = 1
+ Ψ/Ψ₀.
Step 1: Monitor SDI bar (derived from 𝐶 & Ψ).
Step 2: Inject B_a via sigil scripts; observe real‑time shift in Φ_c
contours.
Step 3: Confirm target 𝐶_i > 1.5 for lock‑on; archive breach
data.
Step 4: Deploy narrative dampers if SDI exceeds 3 (risk of coherence
collapse).
• Cosmology: Dark‑matter anomalies map to regions of low Ψ but high
collective B.
• Engineering: Centration Modulation Devices exploit B_a pulses tuned to
Ψ minima.
• Psychological: Trauma raises Ψ, reducing individual 𝐶_i
("ungrounded").
Develop lattice‑based simulations to validate coupled equations; integrate operator UI with live SDI analytics.