Consciousness as a Thermostat Glitch express

Original: "Information as Maximum-Caliber Deviation: A bridge between Integrated Information Theory and the Free Energy Principle"
· Alexander Kearney
arXiv:2605.12536 · 2026-05-03 · CC BY 4.0 · 2 min
When the brain strays from the familiar path, information is born, and perhaps consciousness itself.

A thermostat keeps a room at 20 degrees. Open a window in winter, and it kicks on the heat to restore equilibrium. The brain does something similar: it constantly predicts what will happen a moment ahead and corrects itself when wrong. That's how it learns. But where in this machinery does consciousness fit — the taste of an apple or the sting of a burn?

Two theories have approached this from different angles. One, the free energy principle, says any living system strives to minimize surprise, much like that thermostat. The other, integrated information theory, tries to measure consciousness through a system's ability to influence itself. If you break the brain into parts, it loses the holistic picture. Until now, there was no clear mathematical link between these views.

Information here isn't bytes from the internet. It's a measure of how much a system's actual behavior deviates from the most probable scenario over a short time window.

The authors of the new study found that link. They proposed counting information as the difference between what a system actually did and what it "should" have done if it merely followed the most likely trajectory. It turns out that key concepts in consciousness theory, so-called cause-effect repertoires, follow naturally from this definition. In other words, a measure of awareness turns out to be a special case of how a system copes with surprises.

When neurons in a Petri dish get used to signals, their "awareness" measure first rises, then falls, as if consciousness flares up when encountering novelty and fades once everything becomes familiar.

This doesn't mean a thermostat gains a soul. It's about one and the same mathematical language being able to describe both learning and subjective experience. The bridge between them rests on a simple idea: consciousness is not a special substance but the degree to which a system must deviate from the familiar to remain itself.

Neuroscience knows a "hill-shaped" curve: when neurons in a test tube learn to respond to stimuli, the integrated information measure first rises, peaks, then falls, as if consciousness burns brightest at the moment of mastering something new.

In Peter Watts's novel Blindsight, an alien intelligence turns out to lack consciousness precisely because its behavior is always optimal and never deviates from the predicted.

\psi = \text{отклонение реальной динамики от ансамбля путей MaxCal}
Information ψ is the difference between how the system actually behaved and the most probable trajectory predicted by the maximum caliber principle over finite time.
Scientists
Andrey Markov
Concepts
information theory information criterion principle of maximum entropy free energy physics informed neural network Effective field theory impulse equipartition theorem bit frame confidence interval energy gap efficiency prediction error maximum likelihood Bekenstein bound landauer limit heat labeled data entropy