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The study aimed to assess the topological homogeneity within highs and lows during neutral hypnosis, and the EEG topological characteristics of highs and lows before and after hypnotic induction experienced as an altered state of consciousness only by highs. Sixteen highs and 16 lows were enrolled, informed that they would be submitted to hypnotic induction and studied across a session including open and closed eyes waking rest, hypnotic induction, neutral hypnosis, and post hypnosis open eyes rest. EEG was monitored throughout the session. Network analysis showed greater identifiability (less homogeneity) among lows than among highs. It revealed a similar pattern of changes in functional connectivity and topological properties\u2014homological persistence and persistent entropy, which describe multiscale integration patterns\u2014in the two groups across the session. Findings suggest that neutral hypnosis represents a modulation of the ordinary consciousness within its physiological variability rather than a distinct physiological state. Neither network nor topological differences account for the different subjective experiences of highs and lows.<\/jats:p>","DOI":"10.1093\/cercor\/bhaf262","type":"journal-article","created":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:22:26Z","timestamp":1760034146000},"source":"Crossref","is-referenced-by-count":2,"title":["On the state\u2014nonstate theory of hypnosis: network and topological EEG findings"],"prefix":"10.1093","volume":"35","author":[{"given":"Maxime","family":"Lucas","sequence":"first","affiliation":[{"name":"CENTAI Institute, Corso Inghilterra , 3 10138 Torino (TO) ,","place":["Italy"]},{"name":"Dept of Mathematics & Namur Institute for Complex Systems (naXys), Universit\u00e9 de Namur , Rue Graf\u00e9 2 5000 Namur ,","place":["Belgium"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Noemi","family":"Aime","sequence":"additional","affiliation":[{"name":"CENTAI Institute, Corso Inghilterra , 3 10138 Torino (TO) ,","place":["Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alejandro","family":"Callara","sequence":"additional","affiliation":[{"name":"Dept of Information Engineering, University of Pisa , Via Giunta Pisano, 28, 17016, Pisa ,","place":["Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lorenzo","family":"Fontanelli","sequence":"additional","affiliation":[{"name":"Scuola Superiore S. Anna , Piazza Martiri della Libert\u00e0, 33, Pisa ,","place":["Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Laura","family":"Sebastiani","sequence":"additional","affiliation":[{"name":"Dept Translational Research NTMS, University of Pisa , Via Savi 10 56126, Pisa ,","place":["Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2519-1491","authenticated-orcid":false,"given":"Enrica L","family":"Santarcangelo","sequence":"additional","affiliation":[{"name":"Dept Translational Research NTMS, University of Pisa , Via Savi 10 56126, Pisa ,","place":["Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giovanni","family":"Petri","sequence":"additional","affiliation":[{"name":"CENTAI Institute, Corso Inghilterra , 3 10138 Torino (TO) ,","place":["Italy"]},{"name":"NP Lab, Network Science Institute, Northeastern University , Devon House, 58 St Katharine's Way, London E1W 1LP ,","place":["United 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