Doctoral Dissertation · 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 dissertation (PDF, 7.8 MB)

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Sealed on the Planisphere mirror chainGenesis block · #0

Block hash: 0x19f15104b91927f59591e14f9af18b98c4e7e4a44c4845f86e752427ab9b6f99
Parent: 0x0000000000000000000000000000000000000000000000000000000000000000
Payload root: 0x817a8a6beb17a36c84ee2d7fd2e36a0670246164dec8d059bc6b387f718ce4d8 (EIP-712)
Sealer: 0xf348EE07BAe8dB1246342fECc8A16B0eC08cc93f
Signer: Logan Christopher Ross · Room 137
Timestamp: 2026-06-01T00:00:00Z (1780272000)
Document: 0x1c64a446d7522f1be4677332aa93745c41a3bdd33831ebd61002197f0a1f5711 (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.

genesis.json seal.json (EIP-712) seal.svg

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

Logan Christopher Ross

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