  Is wave function collapse a prediction of the Schr\"odinger equation? This
unusual problem is explored in an enlarged framework of interpretation, where
quantum dynamics is considered exact and its interpretation is extended to
include local entanglement of two systems, including a macroscopic one. This
property of local entanglement, which results directly from the Schr\"odinger
equation but is unrelated with observables, is measured by local probabilities,
fundamentally distinct from quantum probabilities and evolving nonlinearly.
When applied to a macroscopic system and the fluctuations in its environment,
local entanglement can also inject a formerly ignored species of incoherence
into the quantum state of this system,. When applied to a quantum measurement,
the conjunction of these two effects suggests a self-consistent mechanism of
collapse, which would directly derive from the Schr\"odinger equation. (This
work develops and improves significantly a previously circulated version with
the same title [23])
