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Super-exponential growth of brain state space

Determine whether the number of available states for the brain grows faster than exponentially as a function of the number of brain regions involved, thereby testing the conjectured super-exponential scaling of the brain’s state space.

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Background

Within the group-entropy framework, the growth rate of the accessible state space W(N) as a function of system size N determines the appropriate entropy class. The authors introduce a complexity measure Δ(AB) to quantify emergent interdependence and discuss how it could be probed experimentally.

They reference a prior conjecture proposing that the brain’s state space grows super-exponentially with the number of regions, suggesting that neuronal avalanche or related experiments might enable empirical assessment of this scaling.

References

In [TJ2020], we conjectured that the number of available states for the brain grows faster than exponentially in the number of brain regions involved.

Group structure as a foundation for entropies (2507.06847 - Jensen et al., 9 Jul 2025) in Section "An entropic measure of complexity"