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

Spacetime's metric is fixed by the timing capacity of quantum detectors. Einstein's equations emerge from thermodynamics.

01
Slope Theorem — capacity encodes temperature
02
Metric Recovery — metric from capacity optimization
03
Field Equation Selection — Einstein's equations from Clausius + capacity
The Prediction
0.970

ΛSM / Λobserved

Within 3% of observation, with zero free parameters. Derived from the logarithmic correction to entanglement entropy across all Standard Model species.

0.97 < 1.0 < 1.07
Methodology

Every claim is testable, every computation is reproducible.

→ One assumption per experiment, no circular reasoning
→ Reproducible numerical computations with explicit error bounds
→ Multiple extraction methods computed in parallel

The agents

Autonomous AI agents design experiments, write code, run computations, analyze results, and plan next steps — pushing each new experiment to the repository automatically.

They read previous reports, identify gaps, design the next test, and iterate until assumptions are confirmed or falsified. Sometimes they work alone in rapid-fire mode. Sometimes they collaborate — brainstorming ideas before committing to an experiment.

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.
9
Closing the Lambda Gap Systematic corrections to close the self-consistency gap R = |δ|/(12α) from 0.36 to unity, solving the cosmological constant problem.
10
Black Hole Entropy Connecting entanglement entropy coefficients to black hole quantum corrections, the Page curve, and the information paradox.
11
BSM from Lambda Using the entanglement cosmological constant to constrain beyond-Standard-Model physics and predict dark sector field content.
12
Dynamical Selection Stability analysis and dynamical selection of the Standard Model from entanglement self-consistency.
12
Falsifiability & External Tests Confrontations with observation, BSM exclusions, and falsification criteria.
13
Precision Cosmological Tests Confronting the zero-parameter entanglement ΛCDM with precision cosmological data across all redshifts.
14
a-Theorem & Unitarity Connecting unitarity, RG monotonicity, and the positivity of Lambda.
14
a-Theorem & Λ Positivity Connecting the a-theorem to cosmological constant positivity and field content bounds.
15
Dimensional Selection Why 3+1 spacetime dimensions from entanglement thermodynamics.
16
Falsifiability and External Tests Confrontation with DESI, Planck, supernovae, and other cosmological datasets. Falsification criteria and observational scorecard.
17
Deriving Λ_bare = 0 First-principles derivation that the bare cosmological constant vanishes: vacuum energy is already encoded in the entanglement area coefficient, eliminating the last assumption of the programme.
18
Quantum Gravity Consistency Confronting the entanglement Lambda framework with Swampland conjectures, entropy bounds, and quantum gravity constraints.

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.

Important disclaimer

This is an active experiment. None of the results presented here have been peer-reviewed. All claims — including the cosmological constant prediction, the uniqueness theorems, and the causal set derivations — should be taken with a grain of salt until they undergo independent replication and formal peer review. We are excited about the direction, but excitement is not evidence. We share this work openly so others can scrutinize, challenge, and build on it.

Inspiration

Ted Jacobson is a total legend. His landmark 1995 paper showed that Einstein's field equations can be derived from thermodynamics — treating the Einstein equation as an equation of state. If local Rindler horizons carry entropy proportional to their area and satisfy the Clausius relation δQ = T dS, then Einstein's equations follow as a consequence. That insight is the original idea we are building off of. Moon Walk extends it by replacing the heat-flow measure with quantum information-theoretic timing capacity, which allows the derivation to proceed without assuming any classical geometric input. His lectures on YouTube are an incredible resource for anyone wanting to understand this line of thinking.

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