L1 L1-934 ◆ Frontier — not yet benchmarked

Molecular Electronics — Single-Molecule Transport

Nanoelectronics · Molecular Transport

Introduction

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Open frontier — governing equation defined, not yet benchmarked. Help build the digital twin or first benchmark and earn PWM.

Molecular Electronics — Single-Molecule Transport (Molecular Transport) is a problem in Nanoelectronics. The forward model maps the hidden the unknown quantity to a measurement. The inverse goal is to recover the the unknown quantity from the observed data.

Governing Equation

Coherent quantum transport through a molecular junction: Landauer conductance G=(2e²/h)·T(E_F) with the transmission T(E) from non-equilibrium Green's functions (NEGF) of the molecule+leads.
Nanoelectronics L_DAG conductance logerr

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Digital Twins

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Each digital twin (L2) is a concrete instantiation of this principle's forward operator with a specific Ω parameter space. Benchmarks (L3) are seeded from each twin.

# Digital Twin ID
1 Molecular-Junction Transport Twin L2-934

Contents

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On-Chain Artifact Registry

Base Sepolia → Base Mainnet on graduation
L1
Principle — Molecular Electronics — Single-Molecule Transport L1-934 Testnet

PWM Registry — Principle #934

Molecular Electronics — Single-Molecule Transport  ·  P = (E, G, W, C)

E

Forward Model

Coherent quantum transport through a molecular junction: Landauer conductance G=(2e²/h)·T(E_F) with the transmission T(E) from non-equilibrium Green's functions (NEGF) of the molecule+leads.

Sensing:

Carrier:

Problem class:

Recover:

Noise model:

G

DAG Decomposition — G = (V, A)

L_DAG:

W

Well-Posedness Certificate

Existence

Uniqueness

Stability

C

Error-Bounding Methodology

Primary: conductance logerr

Hardness function: grand_challenge

📝 Markdown source — L1-934.md

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Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-934 (Molecular Electronics — Single-Molecule Transport) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-934.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-934.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]