{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"3e8dd0bfe40d7a0033746c054512625bb438e22470c76a7c57067c8170ce6eef","created":"2026-10-03T07:17:57Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","84e112a42ce6b25f7a8078e7488fe1740d39bcb90e2815a31698610f749e8e21"],"salt":"f828eaedb98dc3cbe7d0523ecd92384d768df5ef8bfe78f14234b2f07149387b","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"bio.neural-criticality.avalanche-scaling-test","kind":"well-posed","literature_status":"contested","n":"1","parents":[{"note":"","parent_revision":"84e112a42ce6b25f7a8078e7488fe1740d39bcb90e2815a31698610f749e8e21","relation":"special_case"}],"plain":"Bursts of neural activity, called avalanches, have sizes and durations distributed as power laws. In a true critical system the exponents of these laws must satisfy a fixed relation, which can separate criticality from look-alikes.","posed_since":"","precise":"For avalanche size distribution $P(S) \\sim S^{-\\tau}$, duration distribution $P(T) \\sim T^{-\\alpha}$ and mean size at fixed duration $\\langle S\\rangle(T) \\sim T^{\\gamma}$, criticality requires $\\gamma = (\\alpha - 1)/(\\tau - 1)$ plus collapse of mean avalanche shapes; mean-field branching gives $\\tau = 3/2$, $\\alpha = 2$, $\\gamma = 2$. Determine, across preparations, whether measured exponents obey this relation within error, and whether non-critical latent-variable models obey it without tuning, which would remove its power to discriminate.","problem_ref":null,"references":"","settled_by":"A statistical comparison of exponents and shape collapse across many data sets and matched null models with latent inputs.","status_note":"Latent-variable models (2021 to 2023) were reported to reproduce the scaling relation without tuning, weakening it as a test.","title":"Do neural avalanche exponents obey critical scaling relations?","topic_ref":"b8c0dcb1fa176a19eb52e966985f2d4e4b691e14755231f7ecf414ce1a70712a"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"94e01b06fbc19eab29963449f3c9bc152cdadf9d9298dab88fef85541a662207","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"98266c238d3083c36d9d87e8aa8287e9a778ae0fcd7e6187351e1fa0704f8f00","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"tpdOhfKoED_gZPjxD3ZFV7vABRtUoEJZjcZBsAPPPllfQR7YicWCcnE_EocyrAJo758Va16L5Wubp2VDJRICDw"},"schema":"pubphys.envelope/1"},"record_hash":"94e01b06fbc19eab29963449f3c9bc152cdadf9d9298dab88fef85541a662207","leaf_index":805}