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PreprintCC BY 4.0arXiv

Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information

  • A. Mayeux
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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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Cite

BibTeXRIS
BibTeX
@misc{mayeux2026existence,
  title = {{Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information}},
  author = {A. Mayeux},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02219},
  eprint = {2610.02219},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02219},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Existence of an infinite family of substrates satisfying all the postulates of integrated information theory, exclusion included, with arbitrarily large integrated information
AU  - A. Mayeux
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02219
UR  - https://arxiv.org/abs/2610.02219
AB  - 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.
ER  -