Nothing Matters
The personal science website of Kevin Donahue
Welcome. This site is home to the Quantum Family Tree program — a trilogy of papers establishing that spatial distance, geometry, and spacetime emerge from entanglement structure in a solvable random quantum process on a binary Bruhat–Tits tree.
The core idea is simple: distance isn't where you are, it's how related you are. The universe is a genealogy, and space is the readout of quantum kinship.
For the layperson version, start with the simple explanation. For the mathematics, go to the papers.
Latest
Paper 1 submitted to Communications in Mathematical Physics — April 2026
Emergence of Distance from a Quantum Family Tree. The entropy-rate problem reduces exactly to a single scalar quantity. All structural components solved in closed form. The remaining step — Lemma D — is formulated as an explicit conjecture, confirmed to 10.34σ.
Papers 2 and 3 posted as preprints — April 2026
Emergence of Geometry (first law exact, Rényi-2 asymptotics, fixed-point theorem) and Spacetime and the Quantum Family Tree (linear response, de Sitter, causality, Conjoined Theorem, IBM Quantum hardware validation).
In the beginning there was maybe — February 2026
The opening essay introducing the Quantum Family Tree. Why the first quantum superposition is the seed of all spacetime.