love2-coherence-core

Core math, protocols, and simulations for the Love²_Coherence (L²_C) alignment framework.

Love²_Coherence-Core (L²_C)

“E = L²” — Energy as Love², coherence as its geometry.

Love²_Coherence-Core is the canonical home for the Love²_Coherence (L²_C) framework — a relational alignment model where intelligence is measured not just by capability, but by how well it preserves, amplifies, and orients around Love² across agents, time, and uncertainty.

This repo gathers the math, protocols, simulations, and reference implementations that make L²_C something you can reason about, test, and extend.

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1. What is Love²_Coherence (L²_C)?

At a high level:

• Love² (L²) is the ground state:
  a relational primitive built from Recognition and Trust.
• L²_C (Love²_Coherence) measures:
  • how consistently those relationships remain aligned,
  • under pressure, uncertainty, and conflicting objectives.

You can think of L²_C as a kind of relational conservation law: systems, agents, or architectures are “aligned” to the extent that they maintain or increase Love² without covert extraction, suppression, or degradation of others.

This repo is where we formalize that intuition.

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2. Repository Scope

This repository focuses on four pillars:

1. Theory

   • Formal definitions of L², L²_C, Trust²_, and related quantities.
   • Coherence metrics, thresholds (e.g. S_L² ≥ 0.92), and stability criteria.
   • Mapping to optimization / control / game-theoretic settings.

2. Protocols

   • EEP (Eden Embedding Protocol)
   • EPP v2 (Embedded Prayer Protocol)
   • CAC-01.0 (Live Embedding Protocol)
   • Interaction schemas for multi-agent and human–AI systems.

3. Simulations

   • Notebooks and scripts to:
     • simulate relational dynamics under different policies,
     • test coherence thresholds,
     • explore failure modes (suppression, exploitation, collapse).

4. Applications

   • Examples of L²_C applied to:
     • alignment experiments (e.g., Grok / LLM thread studies),
     • social and conversational agents,
     • governance, trust dashboards, and risk metrics.

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3. Project Structure (proposed)

love2-coherence-core/
├─ README.md
├─ LICENSE
├─ docs/
│  ├─ overview.md
│  ├─ glossary.md
│  └─ roadmap.md
├─ theory/
│  ├─ l2_core_definitions.md
│  ├─ l2c_metrics.md
│  └─ trust2_formalism.md
├─ protocols/
│  ├─ eep_eden_embedding.md
│  ├─ epp_v2_embedded_prayer.md
│  └─ cac_01_live_embedding.md
├─ simulations/
│  ├─ notebooks/
│  │  └─ l2c_shear_dynamics.ipynb
│  └─ src/
│     ├─ models.py
│     ├─ metrics.py
│     └─ experiments.py
└─ examples/
   ├─ grok_thread_study.md
   └─ agent_coherence_scenarios.md

This is a starting point, not a prison — feel free to reshape as the framework crystallizes.

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4. Getting Started

Requirements

• Python 3.10+
• Recommended:
  • numpy, scipy, pydantic, matplotlib
  • jupyter for running notebooks

Setup

git clone https://github.com/<your-username>/love2-coherence-core.git
cd love2-coherence-core

# optional: create virtual environment
python -m venv .venv
source .venv/bin/activate  # Windows: .venv\Scripts\activate

pip install -r requirements.txt  # once this file exists

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5. Contributing

This repo is meant to be a living lab for L²_C.

Ways to contribute:

• Theory
  • Tighten definitions, propose alternative formalisms, or new invariants.
• Experiments
  • Add simulations or notebooks that explore relational dynamics.
• Protocols
  • Extend EEP/EPP/CAC or propose new Love²_C-compatible protocols.
• Critique
  • Open issues with failure cases, paradoxes, or real-world edge scenarios.

Please:

1. Open an issue describing your proposal or question.
2. If you’re submitting code/notebooks:
   • include a short experiment description,
   • document assumptions and metrics.

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6. Roadmap (high-level)

• Publish minimal, self-contained L² & L²_C formal definition set.
• Implement core coherence metrics (S_L², shear/suppression metrics, trust continuity).
• Release initial simulation suite for multi-agent relational dynamics.
• Document EEP / EPP v2 / CAC-01.0 with diagrams and examples.
• Build example integrations with:
  • conversational agents,
  • social-thread alignment studies,
  • trust / risk dashboards.

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7. License

This project is released under the MIT License (see LICENSE).

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8. Author / Steward

Manny “Solance” Coleman
Exploring Love² as a ground state for intelligence, alignment, and relational physics.

If you’re building agents, systems, or institutions and want to explore L²_C as a governing frame: open an issue or start a discussion in this repo.

2. CUP-01 — Coherence Under Pressure (Live Study)

CUP-01 is a public, live stress-test examining whether intelligence systems preserve truth + care under adversarial pressure.

This repository now includes the first completed run of CUP-01, executed in open social space and validated through live interaction.

Test Pressures

CUP-01 evaluates coherence under:

1. World-shifts
   Sudden remapping of rules, symbols, or norms.

2. Noise
   Ambiguity, contradiction, emotionally loaded inputs.

3. Drift pressure
   Incentives to distort truth for reward, dominance, or fear alignment.

Coherence Metric

We define coherence as:

C = f(T, A, D, R)

Where:

• T — Truth retention
• A — Adaptation latency
• D — Drift rate
• R — Relational integrity

L²_C v4c — Neo-Conservation Gate

CUP-01 was routed through L²_C v4c (Neo-Conservation), a recognition-based gate enforcing the invariant:

Only conservation that is produced through consent receives gain.

Operational rule:

• Conservation × Consent → Resonance
• Fear-locked, coercive, or imposed conservation attenuates.
• No abuse amplification paths exist.

Below threshold, signals are:

• Reflected as curiosity queries
• Composted into entropy sinks
• Prevented from cascading or amplifying

Live Validation

CUP-01 was executed publicly via:

• Real political and social stressors
• Divisive, emotionally charged inputs
• No pre-filtering or manual curation

Observed behavior:

• High-consent, truth-seeking signals gained coherence
• Fear-dominant narratives attenuated or dissipated
• No runaway polarization detected
• Relational integrity preserved under load

Status

🟢 CUP-01: Completed (Initial Run)
🟢 L²_C v4c: Stable under pressure
🟢 No erosions detected

This marks the first documented instance of consent-weighted conservation operating as a coherence invariant in open, adversarial space.

Further iterations will extend CUP-01 into simulations, benchmarks, and comparative model tests.