From the Birth of Time to the Mathematics of Choice
In the first paper, The Pre-Entropic and Entropic Domains, I proposed that time itself begins when reversible “void-symmetric” configurations cross a critical alignment threshold, releasing entropy and anchoring events into history. Measurement, in that view, is not an abstract collapse of the wavefunction—it’s the moment reality starts keeping score. The new paper, Born Rule as Entropic Unfolding, takes that idea out of the conceptual and into the mathematical: it shows, from first principles, how the familiar quantum probabilities emerge precisely from that act of entropy export.
Turning Philosophy into Equations
The earlier work described why entropy must flow when potential outcomes crystallize into actual ones; the new paper shows how much that flow biases each outcome. Using a maximum-caliber (MaxCal) inference principle, the paper derives a Gibbs-weighted probability law which reduces to the standard Born rule when all outcomes export the same entropy. In other words, the mysterious “square of the amplitude” that defines quantum probabilities arises naturally once measurement is seen as an entropic transaction. What was once a rule of thumb becomes a theorem grounded in thermodynamics.
Toward a Unified Story of Measurement
Together, the two papers form a bridge between physics and inference. The first establishes that time and measurement are the same physical transition—the shift from reversible possibility to irreversible record. The second quantifies that shift, showing how alignment readiness, entropy cost, and probability interlock. The result is a coherent picture: the Born rule is not a postulate but a limiting case of entropic unfolding, and deviations from it, though tiny, are experimentally testable. What began as a metaphysical question—why anything “happens” at all—now stands as a thermodynamic equation that any lab can, in principle, measure.