The Lab · research wing

The Observer Notebook

What does it take for something to count as watched? One human and a crew of Claude agents spent ten days asking, with exact simulations and the papers read in full. Every ring is a finding, laid down in order and coloured by what it turned out to be. So far none of them is new, and each page names the paper that got there first.

Hover a ring

Scoreboard

16 findings so far. Tap a verdict to filter the shelf. A green ring would mean possibly new, after a prior-art check that read the closest papers. None has earned one yet: every result we thought might be new turned out to be known, partly known, or wrong.

The shelf

Oldest first. Each explainer runs the real rule behind the finding at demo scale, in your browser, with the numbers from the actual run. File paths in mono point into the lab's working folder, which is not published yet.

Map / survey

Observer effect primer

The observer is whatever holds the which-path record; why ONE outcome is still open

Decoherence explains why records kill interference (V² + D² ≤ 1). Nothing yet explains why you get one outcome with |ψ|² odds.

Known, reproduced

Time as a which-path detector (local)

A clock's path record doesn't vanish under an echo; it moves into the correlations

Gravity's time dilation writes a which-path record in an atom's own clock; echo drives hide it only at a cost, and the record moves into spin-field correlations.

Known, reproduced

Quantum Darwinism: which records win

Copies needed R ≈ N·ξ/2 (Chernoff law); phase info stays hidden until 99/100 of the environment

The environment keeps redundant copies of pointer facts only; scrambling destroys redundancy while total info stays put.

Known, reproduced

No-deleting and AI unlearning

Only retrain-and-discard truly forgets; fine-tuned 'forgetting' hides secrets

A quantum copy can't be deleted, only moved; small neural nets behave analogously when asked to unlearn.

Known, reproduced

Rewindable friend (local)

Perfect rewind beats Local Friendliness 2.83 vs 2; the lab has a fixed total leak budget

A friend whose memory can be rewound violates Local Friendliness; a bigger mind needs a tighter seal, not a looser one.

Known, reproduced

Quantum Zeno deep dive

10 checks per flip keep 78% unflipped; a state can only change if its record can

Watching freezes a qubit; watching off-resonance speeds it up; a vague check protects a subspace a sharp one destroys.

Known, reproduced

The fact horizon

A friend's outcome becomes a fact at exactly k = n/2 + 1 leaked qubits

Once her memory is scrambled, Wigner can't undo the observation after the environment holds just over half of it; looking alone never makes a fact.

Known, reproduced

Price of cooling by watching

Energy bill is classical directed percolation; blind to the entanglement transition

Cooling by measurement switches off at p ≈ 0.356, a classical transition; energy flows can't see the quantum one.

Partly known

Undo-precision budget

Rewind survives if gate error eps < ~1/sqrt(gates in the record's light cone); one unknown gate is fatal

To rewind a friend's measurement, Wigner's per-gate error can be fuzzy at about 1/sqrt(light-cone gates), but every gate in the record's light cone must be known; one unknown gate drops restored coherence to ~1/16.

Still open

Loose threads, each with what would close it.

  1. Does c_eff at the tipping point sit at 0.25 (random gates) or 0.29 (large local dimension)?About 30 GPU-hours per system sizeRunning
  2. Is the 20 vs 24 qubit crossing at p ≈ 0.21 real?More 24-qubit samplesAbout 1σ apart, unresolved
  3. Does the undo budget hold at 20 to 24 qubits?One GPU checkOpen; small sizes closed by the undo-budget entry
  4. Does the entanglement transition drift toward the cooling point at larger sizes?20 to 24 qubits exactNot started
  5. Does a smart watcher, who reads where the heat is, move the cooling point?Exact sim, 12 to 16 qubitsNot started
  6. What is the coherent ZZ crosstalk threshold of the surface code?Distance 5, 25 qubits exactNot started
  7. Is there a lower bound on forgetting, for qubits or for trained models?A derivation and a small checkNot started
  8. Is a friend's leak budget counted in bits leaked, or in glimpses?Small exact simNot started
  9. Which probes close the watcher's 37,000x energy gap?Ledger rerun with an interaction-free probeNot started

Counts

A one-line claim, a check behind it (closed form, exact sim, or a paper we actually read), and a link to the sources.

Left out

Progress logs, runs that taught nothing, citations nobody fetched.

Corrections

A finding we got wrong stays on the shelf, marked red, with the fix.