Papers · Preprint
Six Birds Protocol Trap: Holonomy Without Entropy Production
Route dependence is not an arrow of time.
In plain words
Update steps that do not commute can look like time asymmetry. The paper shows how to tell them apart.
Compare two things. First, an externally scheduled composition of two reversible kernels. Second, an autonomous version where a clock inside the system drives the switching.
Scheduled: strictly positive entropy production. Autonomous with an unbiased clock: zero, even though the steps still do not commute. Bias the clock and the arrow returns in proportion to the bias.
What it shows
- A clean null versus driven separation on a three state benchmark.
- Holonomy and directionality decoupled.
- A reproducible audit template for switching models.
What it does not claim
Conclusions are for finite state discrete time kernels and the lift studied.
Cite
Tsiokos, I. (2026). Six Birds Protocol Trap: Holonomy Without Entropy Production. Zenodo. https://doi.org/10.5281/zenodo.18906902