In our framework classical emergence of motion may be governed by a stochastic proper-time threshold T₀, below which directionality in motion is undefined.
This proposal introduces a switching function:
F(Δt)=1−e−Δt/T₀F(Δt) = 1 - e^{-Δt/T₀}F(Δt)=1−e−Δt/T₀
This models the probability of classical trajectory emergence, and considers T₀ to vary slightly between experimental runs.
This opens a provocative question:
Could the small fluctuations in observed fringe visibility in cold atom interferometry (often attributed to noise) reflect an intrinsic stochasticity in decoherence onset?
I’m seeking insight on:
- Whether any existing data sets from cold atom/nanoparticle interferometry could already hint at this effect.
- Whether such fluctuations would be distinguishable from conventional decoherence or technical noise.
- What experimental protocol (e.g., paired-run with μs offsets) would be viable to test such a hypothesis.
Appreciate all thoughts—including critical ones.
Relevant preprints: Preprint Theory of Emergent Motion (ToEM)
Preprint Event-Dependent T₀ and the Quantum → Classical Crossover
Stefan-Alexandru Gheorghe
Interesting idea — modeling classical emergence with a stochastic threshold does give clear predictions: averaged visibilities would deviate from a single exponential, and run-to-run variance should grow faster with interrogation time.
That said, existing cold-atom and nanoparticle interferometry results generally fit well with known technical/environmental decoherence (laser noise, collisions, vibrations, etc.). Most data published are averages, so it’s hard to see whether unexplained over-dispersion is present.
The cleanest way to test would be:
Analyze shot-resolved visibilities with hierarchical models (technical noise vs. stochastic ).
Use timing randomization (µs offsets) — technical noise often locks to lab cycles, while a true effect would not.
Run twin interferometers to separate correlated technical noise from uncorrelated intrinsic variance.
So far, nothing in the literature points clearly to a hidden , but your proposal is testable, and the right protocol could distinguish it from conventional noise.
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