---
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
---

<div align="center">

# ⚖️ lambda-gate-holo — Λ Gate, Conjecture 1, never a theorem

[![demo](https://img.shields.io/badge/demo-%CE%9B%20explainer-3af4c8?style=flat-square)](https://szlholdings-lambda-gate-holo.static.hf.space)
[![kernel](https://img.shields.io/badge/parent-szl--lambda--gate-5b8dee?style=flat-square)](https://huggingface.co/SZLHOLDINGS/szl-lambda-gate)
[![CDN](https://img.shields.io/badge/runtime%20CDN-0-d7b96b?style=flat-square)](https://a-11-oy.com)
[![Λ](https://img.shields.io/badge/%CE%9B-Conjecture%201%20%C2%B7%20never%20green-7e8aa3?style=flat-square)](https://a-11-oy.com)

</div>

## What this live demo shows

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. It is the in-browser explainer for the [`szl-lambda-gate`](https://huggingface.co/SZLHOLDINGS/szl-lambda-gate) kernel.

## How to read it — 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`).

**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: **Conjecture 1** by doctrine — never a theorem, never green, trust ceiling **0.97, never 100%**. Self-contained static page, **0 runtime CDN**.

## Parent & platform

Parent kernel: [`szl-lambda-gate`](https://huggingface.co/SZLHOLDINGS/szl-lambda-gate) (advisory Λ gate, Conjecture 1, OPEN). Suite: [`szl-kernels`](https://huggingface.co/SZLHOLDINGS/szl-kernels). Source refs: [lutar-lean](https://github.com/szl-holdings/lutar-lean). Substrate: [a-11-oy.com](https://a-11-oy.com).

---

<sub><b>SZL Holdings honesty footer.</b> Λ = Conjecture 1 (advisory, never a theorem). locked-proven = exactly 8 {F1,F4,F7,F11,F12,F18,F19,F22}. Honesty labels: MEASURED / REPORTED / MODELED / HEURISTIC / UNKNOWN / UNAVAILABLE. Trust never 100% (ceiling 0.97). Λ is never green. <a href="https://a-11-oy.com">a-11-oy.com</a> · <a href="https://huggingface.co/SZLHOLDINGS">huggingface.co/SZLHOLDINGS</a></sub>