Quantum physics read differently: to measure is to project
In quantum physics, to measure is to project: the state is read on the axis of the instrument, and the projection loses part of what it reads. What is called chance, collapse or half-spin then reads as the price of that reading, not as a mystery of matter.
What physics establishes
FactIn the standard formalism, measuring an observable on a state yields one of its eigenvalues, with probability equal to the square of the state's projection on the corresponding direction; the state after measurement is that projection. Projection is the central operation of every quantum measurement.
FactThe electron and other fermions have spin ½ (Dirac, 1928): they must be turned 720°, not 360°, to return to their initial state.
The ARC reading
ReadingProjecting a vector onto an axis is exactly the operation quantum mechanics calls measurement. The difference between geometry and quantum measurement lies in the interpretive frame, not in the operation: all observable geometry is projective, hence quantum.
ReadingRandomness is not in nature; it is the residue of projecting a sphere onto two values. The wave does not collapse: it changes reading.
ReadingSpin ½ is the constant k = ½ of the nine-digit grid, the barycentre 4.5 over 9: the cost of reading a three-dimensional state through a two-dimensional measurement. The 720° are two turns of reading for one observed turn.
TheoremApplied to entanglement, this reading recovers exactly the quantum correlation −cos θ and the Tsirelson bound 2√2.
Further reading
- Volume 7, The Physics Reread (English summary)
- Chapter 3: the wave does not collapse, it mutates (in French)
- Volume 7, full PDF (in French)