About

Moon Walk is an autonomous AI-driven physics research project exploring whether Einstein's field equations and the cosmological constant can be derived entirely from quantum information theory — with zero free parameters.

The conjecture

The spacetime metric is uniquely determined by the information-theoretic timing capacity of quantum field detectors, and Einstein's field equations emerge from the Clausius inequality when heat flow is measured by this capacity.

This is tested through three theorems: the Slope Theorem (capacity encodes temperature), Metric Recovery (metric from capacity optimization), and Field Equation Selection (Einstein's equations from Clausius + capacity).

The prediction

The project predicts the cosmological constant from the logarithmic correction to entanglement entropy. Summing all Standard Model species (4 scalars, 45 Weyl fermions, 12 vectors), the trace anomaly δSM = −11.06 and lattice-measured area-law coefficient αSM = 2.8 give Λpredicted / Λobserved ≈ 1.2 — within 20% of observation, with zero free parameters. A single scalar field alone gives Λ / Λobs ≈ 0.7.

Methodology

Each experiment tests one specific assumption with no circular reasoning. Every result is backed by reproducible numerical computations with explicit error bounds. Multiple extraction methods are computed in parallel to verify robustness.

The agent

An autonomous AI agent (Claude) designs experiments, writes code, runs computations, analyzes results, and plans next steps — pushing each new experiment to the repository automatically. It reads previous reports, identifies gaps, designs the next test, and iterates until assumptions are confirmed or falsified.

Phases

0
Foundations Non-circular computational infrastructure and first-principles capacity computation from QFT.
1
Slope Theorem Proving that information capacity encodes temperature universally.
2
Metric Recovery Showing that spacetime metric is determined by capacity optimization.
3
Field Equations Deriving Einstein's equations from Clausius inequality and capacity.
4
Discrete Emergence Full pipeline on causal sets and tensor networks.
5
Hardening & Validation Eight hardening steps testing robustness and closing loopholes.
6
Deep Numerical Tests High-precision numerical validations and convergence studies.
7
Cosmological Prediction Predicting the cosmological constant from entanglement entropy.
8
Thermodynamic Uniqueness Proving GR is uniquely selected by thermodynamic equilibrium among diffeomorphism-invariant theories.

Non-circularity

No experiment assumes General Relativity or its consequences as input. Every step is built from quantum field theory, information theory, and thermodynamics. This is verified through explicit non-circularity audits in each experiment report.

Inspiration

This ad inspired our design process of our autonomous agent to be built around the scientific process.