Volume · Room 137

Shadow & Mirror

Treewidth as the Universal Meter of Computation, Physics, and Consciousness

Logan Christopher Ross · 895 pages ·June 1, 2026

The gap between any separable structure and the inseparable whole it belongs to is measured by one invariant — treewidth.

A series of formal constructions spanning eight substrates, from the hydrogen bond to the cosmic microwave background, each exhibiting the same three‑term shadow–mirror–coupling architecture under a shared treewidth meter. The central theorem is Ross’s Law: the cost of classically simulating a quantum circuit with entanglement graph G scales as exp(Θ(tw(G))) — quantum advantage exists iff that treewidth grows with input size.

Read the volume (PDF, 7.8 MB) Essays — the ideas, made plain

895 pages. Best read in a desktop PDF viewer. · New to the thesis? Start with the topic guides — treewidth, quantum simulation, and knowledge architecture — or browse the complexity matrix and the deposited-record vault.

Sealed on the Planisphere mirror chainGenesis block · #0

Block hash: 0x5d4f8afa58b45062f6ba5b1066256a09395859b635fb6fcecd2e3f441d2fa97f
Parent: 0x0000000000000000000000000000000000000000000000000000000000000000
Payload root: 0xc014dea72199155f8c1f1bd0aca633a32508946e9c3e3556e7dde905660a5e8f (EIP-712)
Sealer: 0x3B0d7A009aae049828796a28b86230f6c46C1328
Signer: Logan Christopher Ross · Room 137
Timestamp: 2026-06-01T00:00:00Z (1780272000)
Document: 0x4d5d076648d86a37d80be0fd86db1e3064e3f17d5a7cd868a9a5e26199e243c5 (keccak256 · 895pp)
Mark: 0x52bc2a0642988d9c18b48557a0eb13a4265c3ed038c7e04a260473af13608d6a (keccak256 · seal.svg)

EVM-canonical. The block hash is keccak256(rlp([parent, number, timestamp, sealer, payloadRoot, signature])); the payload root is an EIP-712 typed-data digest whose signature recovers the sealer by ecrecover. Every field above is committed — change any one and the genesis hash moves. As above, so below.

Explore the genesis block → genesis.json seal.json (EIP-712) seal.svg

No server, no trust required — your browser recomputes every hash from the bytes this page serves.

Add your own witness mark

Connect any EVM wallet and sign a gas-free attestation to the genesis block — from any chain. Nothing is broadcast; the signature recovers your mainnet-canonical address (ENS and all), inherited for free from Ethereum’s keyspace.

Logan Christopher Ross

Signed & sealed by Planisphere · Room 137 · June 1, 2026