Results · The thermodynamics of acting in time

Order, not speed: the work price of letting go

In plain wordsThe order in which a device must let outputs go has its own work price, which no patience removes: letting an output go is priced by the correlations its record keeps with it, and for memoryless channels prompt release costs extra only if the channel is quantum.

The result

As the paper states it, in briefA short letter summarizing the four papers: a device that must let an output go before a later input arrives pays for every correlation its record keeps with that output, however slowly it runs.

How this was checked

Lean
None.
Peer review
Not yet.

Every check here is internal. How we check results.

Novelty and credit

Novelty
Not stated as a kind.

Versionstwo, each with its own DOI

Every archived version, newest first. Dates are Zenodo publication dates. All versions: 10.5281/zenodo.23323808, which always resolves to the newest.
VersionDateDOINotes
1.1.010.5281/zenodo.23325747 PDF hosted here.
1.0.010.5281/zenodo.23323809

Paper, code and links

PDF

papers/order-not-speed-v1.1.0.pdf, version 1.1.0, 407,965 bytes.

SHA-256 4498219ecbb1867288adc0aa8eb19e71c4256627e6b168d9b3880f854c07fbc1

Corrections

None so far.

All corrections, and what counts as one.

Cite

@misc{douglas2026ordernotspeed,
  author  = {Douglas, Seth and Mghirbi, Nidhal},
  title   = {Order, not speed: the work price of letting go},
  year    = {2026},
  version = {1.1.0},
  doi     = {10.5281/zenodo.23325747},
  url     = {https://doi.org/10.5281/zenodo.23325747}
}

order-not-speed.bibAll papers as BibTeX