Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information
q-bio.NC, cs.IT, math.IT
Submitted: 2026-09-09
Updated: 2026-09-09
Code: https://github.com/rndmx/Integ
License: http://creativecommons.org/licenses/by/4.0/
The gist: For infinitely many sizes we exhibit a cycle of binary units, each taking the exclusive-or of itself and its two clockwise neighbours, that is a complex in every state, no proper subsystem being more
Abstract
For infinitely many sizes we exhibit a cycle of binary units, each taking the exclusive-or of itself and its two clockwise neighbours, that is a complex in every state, no proper subsystem being more integrated, and whose integrated information grows as two raised to a power quadratic in the number of units.
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