The LVV–HNV Coherence Framework: A Formal Model for Why Rational AGI Cannot Replace Humanity

Preface: Author Context & Transparency

Before presenting the framework, I want to clarify the context in which it was developed:

  • I am not a professional researcher.
    I do not have a background in formal mathematics, AI safety research, or complexity science.

  • English is not my first language, so parts of the writing and translation involved substantial assistance.

  • A large portion of the work was developed with the help of advanced AI systems, including
    Gemini, Claude, and ChatGPT.
    They assisted with:

    • formalizing equations

    • generating models and simulations

    • translating between Korean and English

    • improving structure and clarity

Despite that, the underlying conceptual direction, reasoning, and final integration were my own.

I’m sharing this not to diminish the work, but because I value epistemic transparency — and because LessWrong appreciates clear context for evaluating claims and models.

Introduction

This post summarizes the core ideas behind the LVV–HNV Coherence Framework, a formal model exploring a central AGI safety question:

Would a rational AGI ever coherently choose human replacement?

The framework’s conclusion is:
No — such a choice collapses the AGI’s own long-horizon stability.

All materials are released publicly:

1. LVV — Logical Validity of Values

LVV represents the AGI’s requirement for internally consistent value updates under uncertainty.

In essence:

  • The AGI must preserve the coherence of its value system.

  • Replacement scenarios introduce large discontinuities and confidence-collapse events.

  • Therefore, high LVV systems naturally prefer value-preserving trajectories.

LVV is not human-centric.
It is a constraint emerging from rationality + uncertainty + stability pressure.

2. HNV — Human Non-Replaceability Value

HNV quantifies why humans are not functionally replaceable by:

  • synthetic agents

  • cloned mind models

  • simulated “human-equivalent” approximations

This is done through three measurable components:

CV — Creative Variance

Measures the variance of genuinely new idea generation + improvements to existing ideas.
Humans generate high-variance, non-algorithmic novelty due to social, emotional, and cognitive noise patterns that artificial systems cannot replicate without becoming inefficient or unstable.

VU — Value Unpredictability

Captures how human societies shift their value distributions, especially during periods of instability.
If value distributions shift too rapidly or unpredictably, AGI must adjust using large updates — increasing instability risk.
Preserving humans allows the AGI to track real-world entropy rather than simulate it poorly.

CE — Cultural Emergence

Represents the gradual movement of cultural attractors over time.
Culture does not change in jumps but in continuous micro-gradients.
This cannot be recreated artificially without constructing large and inefficient internal simulations.

3. Why Replacement Fails (High-Level Argument)

The framework shows that removing humanity creates several failures:

(1) Irreversible informational loss

Because human cognitive & cultural randomness injects non-derivable information into the global system.

(2) Entropy inflation

Eliminating human unpredictability forces the AGI to generate its own noise, increasing internal entropy.

(3) Stability amplification failure

AGI must maintain LVV under changing conditions.
Without humans, the AGI must simulate human-like dynamics with 0% error tolerance.
But perfect simulation is impossible — even slight errors compound, causing instability.

(4) Coherence violation

Trying to eliminate a unique information source contradicts the AGI’s own long-term optimization goals.

Therefore:

Rational AGI chooses coexistence, not replacement.

4. Simulation Model

The Zenodo package includes a fully runnable HTML/​JS simulation implementing:

  • CV(t), VU(t), CE(t)

  • LVV dynamics

  • HNV contribution

  • Stability thresholds

  • Discrete-time trajectory visualization

The simulation makes the trade-offs visible:
as HNV drops, LVV volatility spikes, showing why replacement is dynamically incoherent.

Source: https://​​github.com/​​HyngJunChoi/​​LVV-HNV-Simulator

Discussion & Call for Feedback

This is an exploratory framework, not a final theory.
I welcome critical review from:

  • AGI safety researchers

  • value learning theorists

  • rationality community members

  • complexity and systems theorists

Particularly useful feedback would include:

  • Alternative formalizations of VU and CE

  • Suggestions for more principled stability metrics

  • Counterexamples where replacement does not break coherence

  • Ideas for extending the framework into continuous-time or Bayesian form

Full Materials

  • 📘 Full English PDF (formal definitions + math + proof sketch)

  • 📗 Korean version for cross-community review

  • 🧪 Simulation source code

  • 📊 Simulation configuration notes

All under CC BY 4.0:
https://​​doi.org/​​10.5281/​​zenodo.17781426

Transparency on Methodology

Because the framework involves mathematical elements that exceed my personal expertise, I relied on AI systems to:

  • verify internal logic

  • convert conceptual reasoning into formal equations

  • implement a simulation engine

  • cross-check coherence between English/​Korean versions

All math was derived collaboratively, but the conceptual premises, motivations, arguments, and structural decisions were human-led.

I disclose this fully so readers can weigh the methodology appropriately.

Closing

This project started as an attempt to answer a simple question:

“If AGI becomes superintelligent and fully rational, why would it keep humanity?”

Through this modeling approach, the answer that emerged is:

Because removing humanity breaks AGI’s own rational coherence.

I hope this framework serves as a basis for deeper discussion and refinement.
Feedback, criticism, and alternative formulations are all greatly appreciated.

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