---
title: Λ Gate — Conjecture 1, never green
emoji: ⚖️
colorFrom: yellow
colorTo: gray
sdk: static
app_file: index.html
pinned: false
license: apache-2.0
short_description: The Λ trust gate — Conjecture 1, never a theorem
tags:
  - governance
  - lambda
  - conjecture
  - honest-by-design
  - holographic
  - szl-holdings
---

# Λ Gate — Conjecture 1, never a theorem

A holographic visual explainer of **Λ (Lambda)**, the advisory governance-trust quantity that
gates every action in the estate. Its headline claim — that Λ is the **unique** honest
aggregator — is an **open conjecture**. The page's whole point is the *unproven-ness*: a
governance number that pretended to be proven would be the dishonest one.

## What it shows (sourced EXACTLY from the ledger)

Status is read **live and keyless** from the machine-checked
[`szl-formula-ledger`](https://github.com/szl-holdings/szl-formula-ledger)
(`ledger.json` + `formulas/corpus.json`):

- The verbatim ledger statement of entry **`TH_L1-lambda-uniqueness`**.
- ⬡ Λ uniqueness — **CONJECTURE-1** (ledger machine-check: `UNCHECKABLE by doctrine · never CHECKED`).
- ✗ Unconditional uniqueness — **machine-checked FALSE** (maxAgg counterexample, kept honestly on record).
- ◐ Conditional **Theorem U** — proven (axiom-free), strictly weaker than the conjecture.
- ✓ Λ is **dimensionless** — CHECKED (`lambda-score-dimensionless`, DIMENSIONAL).

## Honesty labels

- **REPORTED** — the ledger record is relayed, not re-proven here.
- **UNAVAILABLE** — if the ledger is unreachable the page says so. Λ's status is unchanged
  either way: it is **Conjecture 1** by doctrine — never a theorem, never green, trust ceiling
  **0.97, never 100%**.

## Build

Self-contained static page. **0 runtime CDN**, system fonts only. Data fetched client-side at
view time.

---

Part of the SZL Holdings estate · [a-11-oy.com](https://a-11-oy.com) ·
[lutar-lean](https://github.com/szl-holdings/lutar-lean) · Λ = Conjecture 1, never a theorem.