Quantum objects only become real and solid when they exceed a specific, mathematical budget of information.
The measurement problem in quantum physics asks why tiny particles act like waves until someone looks at them. This research suggests that the moment of collapse isn't random or mystical, but is dictated by a strict coherence budget. Every measurement device has a limit on how much quantum information it can hold before it forces the system to choose a single reality. This threshold is determined by the laws of information theory rather than just the size of the object. It provides a concrete mathematical rule for where the quantum world ends and the classical world begins.
The Coherence Budget: Born-Rule Self-Consistency Determines The Collapse Threshold
SSRN · 6439480
<p>Objective collapse models contain free parameters - the collapse rate and localization scale in GRW/CSL, or the threshold for gravitational decoherence in Penrose-Diósi. The Logical Curvature and Last Consistent Path (LCP) framework reduces these to a single dimensionless constant: the coherence threshold ε.</p> <p>This paper shows that ε is not a free geometric angle. It is an intrinsic information-capacity invariant of the measurement-sector effect algebra. Let E denote the effect algebra g