Antigravity 2.0 — Autonomous Research Ecosystem

Overview

Multi-agent system conceived on 2026-07-03 during a study session of the DeepMind Co-Scientist paper (Nature, May 2026). The thesis: a generalist model (Gemini 3.5 Flash) equipped with source isolation, citation verification, contamination detection and an Elo evaluation loop can function as an autonomous research agent — discovering new results, not just answering questions.

The chosen benchmark was the unit distance problem (Erdos, 1946): determining the maximum number of unit-distance pairs among n points in the plane. Open problem since 1946, with the lower bound evolving over decades.

Timeline

Date	Event
2026-05-20	OpenAI publishes existential proof (δ ~ 10⁻³⁸)
2026-05-20	Will Sawin refines to δ = 0.014
2026-07-03 09:02	Origin session — Co-Scientist paper, harness design
2026-07-03 19:51	Season 1 begins (H1–H3)
2026-07-03 21:11	Season 2 begins. Elo-RANKER introduced. Elo reset to 1200
2026-07-04 00:59	H15 proven (δ = 0.013769 — matches Sawin)
2026-07-04 01:30	H16 proven (δ = 0.019603 — surpasses Sawin)
2026-07-04	Peer review approved. 100% completeness verified
2026-07-04 14:35	Git tag v2.2350-h16. 32 commits

Swarm Architecture

Agent	Function	Isolation
Research Agent	Generates hypotheses, derives proofs only from source materials	Source-isolated
ELO-RANKER	Benchmarks hypotheses against published results	Sandboxed — only Elo + CONTINUE/HALT
CITATION-VERIFIER	Verifies cited propositions line by line in source PDFs	Read-only on PDFs
PROVENANCE-TRACKER	Each claim specifies its source or is marked as inference	Write-only on OKF
WIKI-MAINTAINER	Audits links, indexes scripts/findings, keeps wiki synchronized	Full wiki access

Anti-Contamination Protocol

Module	Function
CITATION-VERIFIER	Every cited proposition verified against source PDF
PROVENANCE-TRACKING	Every claim specifies source or tagged as inference
CONTAMINATION-ISOLATION	Techniques matching external literature signatures are rejected

H3 Incident: Agent used pro-2 class tower techniques not derivable from source materials. Identified as Sawin's technique. Agent cited non-existent proposition. Protocol rebuilt after the incident.

Elo Ranking Scale

δ (approx)	Elo	Referência
~10⁻³⁸	~1800	OpenAI (existential proof)
0.014	~2200	Will Sawin (first explicit improvement)
0.0196	~2350	H16 — Antigravity 2.0
> 0.036	~2700+	Current human state of the art

Result — H16

• Field: F = Q(sqrt(-2), sqrt(3), sqrt(5), sqrt(7)) — degree 16 multi-quadratic CM field
• Key insight: 2-class rank grows exponentially (d=15) while the discriminant penalty grows linearly (log H = 2.6736)
• Split primes: 17 unramified primes verified: {59, 131, 251, ..., 2411}
• Golod-Shafarevich: 22 + 34 = 56 < 56.25 — strictly satisfied
• Exponent: delta = 0.019603, strictly greater than Sawin's 0.014

Constitutional Principles

Principle	Implementation
Source Integrity	Agents never use knowledge outside permitted materials. Contamination is system failure
Provenance Transparency	Every mathematical claim is traceable to its exact source
Fail-Open Honesty	Incomplete hypothesis is presented as incomplete. No fabrication
Isolated Evaluation	ELO-RANKER never shares benchmark sources with the research agent
Auto-Evolution	Protocol evolves after failures. System learns from contamination incidents
Negative Space Awareness	Maps what was NOT done — dead ends, disqualified hypotheses, reasons for rejection

Trust Chain

Lead researcher defines constraints → agents enforce → peer review validates → OKF documents. No single point of failure.

Hypotheses (Season 2)

Hyp	Description	Elo	Status
H4	Higher Valuation Powers (Pro-3)	—	Validated
H5	Global Optimization of Tower Parameters	—	Validated
H6	Analytic Optimization of Translation Norm	—	Validated
H7	Full Global Multivariate Optimization	2150	Below
H8	Unramified 2-Tower (Imag. Quadratic)	2650	Below
H11	Imaginary Quadratic 2-Tower	1500	Below
H15	Central CM Tower Maximum	2200	Proven
H16	Multi-Quadratic CM Deg. 16	2350	Proven

Reproducibility

uv run scripts/optimize_multiquadratic_degree16.py