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> [!NOTE]
> **Heads-up: this is a hardcore tech paper.** It assumes working knowledge of
> distributed systems (vector clocks, consensus, logical time) and LLM agent
> architectures. If that is not your world, read the example below — it carries
> the whole idea. Everything after it is deep water, and you are welcome to dive.
## The Idea in 60 Seconds (for non-technical readers)
Imagine you hand the same assignment to three colleagues at 9:00 and ask everyone
to report back at 9:05.
- **Anna** is quick: within those five minutes she reads the brief, sketches three
options, discards two and polishes the third.
- **Ben** is thorough but slow: after five minutes he is still reading the brief.
- **Carla** spent the whole time on hold with a supplier and has not started.
By the wall clock, all three *had the same five minutes*. But the amount of lived,
productive time inside each head differs wildly. If their manager now treats all
three reports as equally fresh and equally deliberated, decisions get made on
work that has aged very unevenly.
Teams of AI agents have exactly this problem, only sharper: a small, fast model
may live through dozens of reasoning steps while a large model completes one, and
background services tick in rhythms of hours or days. The wall clock says one
minute passed for everyone; subjectively, the agents lived through vastly
different amounts of *experienced work* — what this paper calls proper time
(*Eigenzeit*).
This paper gives that gap a name, a vocabulary, and a measuring device: the
**Causal-Dilation Clock**, which lets a system notice the divergence, log it,
and act on it — instead of silently trusting that one minute is one minute
for everybody.
From here on, it gets technical. You have been warned. :)
---
> LLM agents don't just have unsynchronized clocks.
> They experience different amounts of time.
>