anchor
Part I, The Sentence and the Kernel · defined in Chapter I, The Founding Sentence
Also vantage
The report an observer stands on. Moving it along a letter is a re-anchoring.
Chapter I defines it together with the clock: an anchored observer is a pair of a clock and a line of the Fano plane missing , and , one of the clock’s four reports, is its anchor. Chapter V reads the same choice on the kernel graph. Standing on one report breaks the report group from to the stabilizer of that report, and the six letters split three and three: the anchor’s rods, one on each axis, and the odd letters opposite them. Standing on and re-anchoring to moves the vantage along the letter , so a history of re-anchorings is a walk on . The reports are places, none of them an origin, and only a vantage makes a report an origin.
Chapter II says what the choice buys. The apparatus of the selection theorem has four decoders, one for each report it could stand on, and their uniform average returns only the normalized trace of the decoded block. An observer spread evenly over its possible anchors recovers nothing of its report qubit but the trace: to see anything it must stand somewhere.
As mathematics
With the clock fixed, an anchor is a line of missing , one vertex of the complete quadrilateral formed by the four such lines. Its stabilizer in the clock’s group is : choosing an anchor is choosing an origin of the affine plane on the four reports, which matches each place with the displacement that reaches it.
As a line of the plane the anchor belongs to the object of the seven lines, with stabilizer . With the clock varying, the pairs (clock, anchor) are the antiflags of the Fano plane, the object of size 28 with stabilizer .
| Its name in another field | Bridge |
|---|---|
| a vertex of the kernel graph | built |
| an origin of the affine plane | built |
| with its clock, an antiflag of the Fano plane | built |
| a frame of the lift | a reading |
- In the dictionary
- the seven lines
- In the volume
- IThe Founding SentenceIIBlind ObserversIVWorld, Kernel, ObserverVFour Reports, Six LettersVIIThe Branchial TreeVIIISpace as a TallyXThe Finite Celestial SphereXIRulial RelativityXIIThe Coxeter GraphXVIThe QuartetXIXRulial InvariantsXXThe Commuting SquaresXXIIILight, Vacuum and HandednessXXIVA Number Nature Could Refute