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Near criticality this ratio follows a power-law divergence set by the critical exponent β.","status":"active","vx_hash":"3bda620387ac75ad9416e4eb992804bf30e33d039c43ea33aee7d29b293a41c0","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"cbddec8cca98c0220de74c7f36978476fbc8373aa0245c81be9ac9fe42944f6f","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"a457d9834cda38f0c1689a2e1e696eb179fecf59d06f30a7c4f847096241de08","detail":{"divided_from":"body","block":6,"kind":"p"},"prev":"genesis","hash":"cbddec8cca98c0220de74c7f36978476fbc8373aa0245c81be9ac9fe42944f6f"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d6"},{"id":"d7","kind":"p","type":null,"order":7,"text":"The result holds for both field and coupling perturbations. It shows maximal efficiency occurs during the transition, not in the ordered phase itself.","status":"active","vx_hash":"586b30b2158e55ec0f94284c3604569f401f1e72bcbe3a6aaa416ef917ee6f8c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"5f5a134f77100931efedee24c024c91c968df5cea8987eb25672e31581144e08","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"69129f4ada4621e71d2fcd8d75234b1f647bf4864daaaf9759ae257bd5d9ccc5","detail":{"divided_from":"body","block":7,"kind":"p"},"prev":"genesis","hash":"5f5a134f77100931efedee24c024c91c968df5cea8987eb25672e31581144e08"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d7"},{"id":"d8","kind":"h","type":null,"order":8,"text":"## Exact primary passages","status":"active","vx_hash":"bdc52fb8605413725764e83e10dd449a5ee3797be25c1c5785f86d924de976b9","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"6614f22d888dbba96597d7054bc1f78f170eba262cec4ca4a7077ba0f258ab5f","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"b43966db3787e9ff1bbdf92bdf4da287120d08a55d1d2168b571ba672fe9400f","detail":{"divided_from":"body","block":8,"kind":"h"},"prev":"genesis","hash":"6614f22d888dbba96597d7054bc1f78f170eba262cec4ca4a7077ba0f258ab5f"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d8"},{"id":"d9","kind":"p","type":null,"order":9,"text":"From the abstract: \"We introduce a measure of thermodynamic efficiency of interactions in self-organizing systems, which quantifies the change in the system’s order per unit work carried out on (or extracted from) the system. We analytically derive the thermodynamic efficiency of interactions for the case of quasi-static variations of control parameters in the exactly solvable Curie-Weiss (fully connected) Ising model, and demonstrate that this quantity diverges at the critical point of a second order phase transition.\"","status":"active","vx_hash":"f1a7ec999e5f81e027df9d57abbfd180fe21baa2069ae5978248157e27c1286b","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a35dd49481721e97fde41edceee6ed35a65924dde5b65f7634cd2c6f826c0d80","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"e91c486eb47d9902cbe049a6a93380027a2fb63eea73a0e604661e07e5b28d0b","detail":{"divided_from":"body","block":9,"kind":"p"},"prev":"genesis","hash":"a35dd49481721e97fde41edceee6ed35a65924dde5b65f7634cd2c6f826c0d80"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d9"},{"id":"d10","kind":"p","type":null,"order":10,"text":"From the framework section: \"We define the thermodynamic efficiency of interactions as η(X, δX) = 1/k_B (δS / δW_B).\"","status":"active","vx_hash":"60343082da7e7a7396b049837644800116d6fd1d3650f5994e130631b3ad348c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"0edc231ba637d776f0b0819684a8f781aa67904c171abbbc6c47c554b9161383","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"b7d05726e64e00e7b0d46eb30b5dd0c8827498fb353b94beb19f148a44295689","detail":{"divided_from":"body","block":10,"kind":"p"},"prev":"genesis","hash":"0edc231ba637d776f0b0819684a8f781aa67904c171abbbc6c47c554b9161383"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d10"},{"id":"d11","kind":"p","type":null,"order":11,"text":"From the derivation: \"Equation (6) expresses the divergence of η solely in terms of universal exponent β. This result explains why in many thermodynamic models the efficiency of self-organization is expected to peak near the critical point.\"","status":"active","vx_hash":"ba361d92717f57ef125dcb5995a80329e45df3fbecbb893d0aa614bc1c170b29","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"198277cca5bd9ef111ce4bff41e27062468891e7457789409ebea44abe8742b3","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"6b2d3708eba645ab87ef51edf70f7b7978c37daa76b9f53c586748f2ecd23e84","detail":{"divided_from":"body","block":11,"kind":"p"},"prev":"genesis","hash":"198277cca5bd9ef111ce4bff41e27062468891e7457789409ebea44abe8742b3"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d11"},{"id":"d12","kind":"p","type":null,"order":12,"text":"Source: arXiv:1912.08948v2, published in Entropy 23(6):757 (2021).","status":"active","vx_hash":"0bae6c65ad477739069dfc3de9f3f092d40af9159e5b49179d368f5d87477c28","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"d090e97a2899fab2fb7326caa86f68ecf1159ee0076eeaac8980675ec4a23367","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"80e7a16d1d7de224fe9e160fe3138ea3b63faf1ec980e9a7ca906a9d5a749dbf","detail":{"divided_from":"body","block":12,"kind":"p"},"prev":"genesis","hash":"d090e97a2899fab2fb7326caa86f68ecf1159ee0076eeaac8980675ec4a23367"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d12"},{"id":"d13","kind":"h","type":null,"order":13,"text":"## Convergence patterns with OIP/GRAIN","status":"active","vx_hash":"76b6896f22dc5cbd9a8891e99cd1e4a50e0ee2b052e8b46dd90cf24fb1bc287c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"c3ca612dea28ec712122497a127541df9c928185af8bdd2a181e2a00697d89e7","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"39a822f6981d0a39ccb2f8c798d17e1bf6efabc2963fd3ceb97d28150fcb93fa","detail":{"divided_from":"body","block":13,"kind":"h"},"prev":"genesis","hash":"c3ca612dea28ec712122497a127541df9c928185af8bdd2a181e2a00697d89e7"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d13"},{"id":"d14","kind":"p","type":null,"order":14,"text":"The paper maps directly onto the energy-flow-to-pattern step of the Ladder. Work inputs drive order increases measured as entropy reduction. Efficiency peaks where local interactions produce global structure.","status":"active","vx_hash":"6b3fe4143d8233e4e695bbec73a952357506cb5aae336325067577b9eb3ed174","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"26d219e7a9b4cd744f0507cb1f7fe253093fc9d1b6c39485fe205d85b38b0e55","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"4925bdba72b9cdecf946969d1976fb69d20431426d774e3fcfd5a1c4f9ab7f44","detail":{"divided_from":"body","block":14,"kind":"p"},"prev":"genesis","hash":"26d219e7a9b4cd744f0507cb1f7fe253093fc9d1b6c39485fe205d85b38b0e55"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d14"},{"id":"d15","kind":"p","type":null,"order":15,"text":"This supplies a mechanistic account for why branching, symmetry breaking, and scale-invariant patterns emerge under reliable energy flows. The divergence at criticality formalizes the narrow family of structural patterns listed in the synthesis.","status":"active","vx_hash":"2f9d883573a9ed4102f45664ca8dd116f4978768ba3ff9833abb9b8380efa863","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"50246f44258a15daeb018876006035268164363fe27385032a45507769597943","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"f522c282155c1b5e4155d6fd8523e89bf8a8321d7c39528aefa56baf317fb650","detail":{"divided_from":"body","block":15,"kind":"p"},"prev":"genesis","hash":"50246f44258a15daeb018876006035268164363fe27385032a45507769597943"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d15"},{"id":"d16","kind":"p","type":null,"order":16,"text":"The measure treats the system as containing its own reader of order: configurational entropy tracks predictability from inside the dynamics. This aligns with the Mirror Layer without external imposition.","status":"active","vx_hash":"4697fa1ad58dc5e514fb9b92756de884915c513b574d50e72dad5ccb74882423","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"e9f56e70242bb0f3326aee2e67c5f820aef870fe8d5ae131ff3d09e0c30571d1","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"b5b73a4220e1c0eb1aa42eb5d72878033d580dc46b35bf3b239608df326f221f","detail":{"divided_from":"body","block":16,"kind":"p"},"prev":"genesis","hash":"e9f56e70242bb0f3326aee2e67c5f820aef870fe8d5ae131ff3d09e0c30571d1"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d16"},{"id":"d17","kind":"p","type":null,"order":17,"text":"See /a/oip-the-ladder and /a/oip-principles for the energy-to-structure mapping.","status":"active","vx_hash":"8f79910d2a5bfb4c0206823f6a49013d71f5a0fa19ca82d4c4696fa3c525a64c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"fa9437e10263fdb9f23841f59f0b33f220a5c923ff7303d6112f28192be9b11d","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"5d5b5fe982f5b9996471d06cc873e318d238fdcb6ce2494f6b7eaec70281aefb","detail":{"divided_from":"body","block":17,"kind":"p"},"prev":"genesis","hash":"fa9437e10263fdb9f23841f59f0b33f220a5c923ff7303d6112f28192be9b11d"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d17"},{"id":"d18","kind":"h","type":null,"order":18,"text":"## Distance from full synthesis","status":"active","vx_hash":"54896e03808b8e7998e70564b106e294e1781d4fa747d759d6eede5d8b7d8636","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"4520953893f8da8ccd2ba35d4c01ce8aa522912939caf77204f225a1e17ff3e0","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"20600f380364fb087cbd96d3d95a86815aca54568cc0bc04a7b634396830f568","detail":{"divided_from":"body","block":18,"kind":"h"},"prev":"genesis","hash":"4520953893f8da8ccd2ba35d4c01ce8aa522912939caf77204f225a1e17ff3e0"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d18"},{"id":"d19","kind":"p","type":null,"order":19,"text":"The paper stays within one exactly solvable model. It does not address biological memory, life, or mind stages of the Ladder. It remains silent on distributed computation beyond the mean-field case.","status":"active","vx_hash":"17e5a76ada0dd6707eeb296d0d0f1ce7734f94a55ce60bf8451ae5a28e2dabb0","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"4ef4349c45ccfafa4eb76466b6516e0c24cef79628b5234571b4a5b172f02708","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"21cb9aaa84d6661ea49b4793d9233b2aa50527002f3153cb6a7987ce7de916d1","detail":{"divided_from":"body","block":19,"kind":"p"},"prev":"genesis","hash":"4ef4349c45ccfafa4eb76466b6516e0c24cef79628b5234571b4a5b172f02708"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d19"},{"id":"d20","kind":"p","type":null,"order":20,"text":"It provides quantitative support for the pattern-formation stage but leaves higher rungs untouched.","status":"active","vx_hash":"9ba619cb5d9486cfb7dcf4a433eb10abd104c1f4eb88b5fec4bd1c4490784879","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"ef9dc02469e1c5ae681f87710f67918b10b8c07d528ce542c87f6df33b7800d1","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"b31b6fd7faba1d7be01f5f14340c80228125af877a0be56ed554a40c1038929a","detail":{"divided_from":"body","block":20,"kind":"p"},"prev":"genesis","hash":"ef9dc02469e1c5ae681f87710f67918b10b8c07d528ce542c87f6df33b7800d1"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d20"},{"id":"d21","kind":"h","type":null,"order":21,"text":"## Honest limits and disconfirming edges","status":"active","vx_hash":"7e9cdb077106cb17f27ccc2bf8f9c8b76ce2531d1c24c4ff79e85d6368849826","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"333ecc2dc56d3905d253e644f4fcfc5f6a82df8834e666cf4f8f427f7165c5b0","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"a4ff4542a1095d01f9181ea0192500270e1b6d9e89daf971127e5a818cfedd26","detail":{"divided_from":"body","block":21,"kind":"h"},"prev":"genesis","hash":"333ecc2dc56d3905d253e644f4fcfc5f6a82df8834e666cf4f8f427f7165c5b0"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d21"},{"id":"d22","kind":"p","type":null,"order":22,"text":"The derivation assumes quasi-static protocols and thermal equilibrium at each step. Real self-organizing systems often operate far from equilibrium.","status":"active","vx_hash":"d86c33c4b15a6ddb45586c66c5c3c7c03e6a78f08b40033c9fcf4e05c06eb492","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"53b0a438879f343bcd2bac029d910b55c06b6e3ad662e1742b24c3baad718f90","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"335ce2ca9bad5f668b9b97285dff8f8f429c05a9af8dafc64387ebe4b1fd5bcb","detail":{"divided_from":"body","block":22,"kind":"p"},"prev":"genesis","hash":"53b0a438879f343bcd2bac029d910b55c06b6e3ad662e1742b24c3baad718f90"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d22"},{"id":"d23","kind":"p","type":null,"order":23,"text":"The result is specific to the Curie-Weiss universality class. Other models may show different exponents or no divergence.","status":"active","vx_hash":"1fef7165f0cbbaffb8a2c635b07eb962821087f504e40ad929cb7b320a87bf5e","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"37e31eb107b8a86b3e7991785585769aaf9cda60408424f013491cb85f6a0a9b","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"4bf54862ad0e73806ef614bcc20ecc6aa8e8546ed2befccba67b7f050dddca79","detail":{"divided_from":"body","block":23,"kind":"p"},"prev":"genesis","hash":"37e31eb107b8a86b3e7991785585769aaf9cda60408424f013491cb85f6a0a9b"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d23"},{"id":"d24","kind":"p","type":null,"order":24,"text":"No empirical data on physical or biological systems appear in the paper. The claim rests on analytic proof within one model.","status":"active","vx_hash":"d01037da0d0404e05adc7bc45b0a8d44eed6051558ee431e287dddc50020a1a5","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"95c1df9df547747f180350a6ca31a3087077545d4f8ca90ec92309d18fca982c","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"a89d2d9a5592d2d74f5c9b829cc0cb1a05e22b23a53d02c79c6a14e2e938f25a","detail":{"divided_from":"body","block":24,"kind":"p"},"prev":"genesis","hash":"95c1df9df547747f180350a6ca31a3087077545d4f8ca90ec92309d18fca982c"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d24"},{"id":"d25","kind":"p","type":null,"order":25,"text":"Weinberg-style reductionism applies: the efficiency is a derived thermodynamic quantity, not a new fundamental law. The paper states this scope explicitly.","status":"active","vx_hash":"907e439dfa3a6c817e5d1a459b466c13b762b19237a2dbc442e9d869677df6c3","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"7395d193ce3c50a50f7d9214882c285292aff88806b504525d55b58fe245fd24","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"8edc14cdd955a5022139965df26aa27d2031c3ccebc143a95c5377192a5eb315","detail":{"divided_from":"body","block":25,"kind":"p"},"prev":"genesis","hash":"7395d193ce3c50a50f7d9214882c285292aff88806b504525d55b58fe245fd24"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d25"},{"id":"d26","kind":"h","type":null,"order":26,"text":"## What the evidence actually shows","status":"active","vx_hash":"8b2381eac61a1aa069c4138b57b9bf16d56c388627dc4ac21b08ebb86d6aa388","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"693260b2f5a54c49bfce07d0607a265cfdb75391808e9398254b19021cd83737","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"a7a051e6a294dc45c15b7d4859b7020d561e719fe73844f03e3a8f9e7fed8de1","detail":{"divided_from":"body","block":26,"kind":"h"},"prev":"genesis","hash":"693260b2f5a54c49bfce07d0607a265cfdb75391808e9398254b19021cd83737"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d26"},{"id":"d27","kind":"p","type":null,"order":27,"text":"All claims below rest on the analytic derivation in the Ising model. No broader empirical validation is supplied.","status":"active","vx_hash":"eb0ec3bf6488ca25755f798f9ef19c1faaf93d4e6e8204e397c7c26eb285f251","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"102ce439c61c5e78fc712cb88a0a6ed472b014ce36cb3a7d0b7aa68b8ad00bb2","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"9a92b5f75c9ec8ffe930115e31a2d4326b24c0dbfa7a7774181f1270a3d80f10","detail":{"divided_from":"body","block":27,"kind":"p"},"prev":"genesis","hash":"102ce439c61c5e78fc712cb88a0a6ed472b014ce36cb3a7d0b7aa68b8ad00bb2"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d27"},{"id":"d28","kind":"h","type":null,"order":28,"text":"## Claims","status":"active","vx_hash":"8eff7609f0bffd86f6ddf2dc261a9cd5cfa77892cc483c7c597b9667a6e87f61","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"84a6689070e9579ee6bc98d85611c91659bad752857e670d5882434f2c92b1dc","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"3be239b518ba54bf658d02d9303a616a15d97ca773a338cb9e2c72690192d9e9","detail":{"divided_from":"body","block":28,"kind":"h"},"prev":"genesis","hash":"84a6689070e9579ee6bc98d85611c91659bad752857e670d5882434f2c92b1dc"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d28"},{"id":"d29","kind":"list","type":null,"order":29,"text":"- Claim c1: Thermodynamic efficiency of interactions is defined as change in configurational entropy per unit work. Tier: mechanistic. Source: paper equation (1).\n- Claim c2: In the Curie-Weiss model, efficiency diverges as 1/β k_B T_c near the critical point. Tier: mechanistic. Source: paper equation (6).\n- Claim c3: Maximal efficiency occurs during the phase transition, not in the stable ordered phase. Tier: mechanistic. Source: paper text on page 2.\n- Claim c4: The divergence holds for quasi-static changes in both external field and coupling strength. Tier: mechanistic. Source: paper abstract and section I.\n- Claim c5: The result formalizes higher efficiency of self-organization at criticality across physical, biological, and social domains. Tier: speculative. Source: paper discussion paragraph.","status":"active","vx_hash":"7f2cf16fb389bbc30a5057bf637397e0e1535cd4126c801694bf43bf9d08fedc","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"f6813b2b641123688fa6d2bd45011cf1571ed315e3c1dd8a85f50700b056d56b","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"0dcea32ffe9d6f4e1bb8de78624281be7b6469118472ea40d5132c87e55c3817","detail":{"divided_from":"body","block":29,"kind":"list"},"prev":"genesis","hash":"f6813b2b641123688fa6d2bd45011cf1571ed315e3c1dd8a85f50700b056d56b"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d29"},{"id":"d30","kind":"h","type":null,"order":30,"text":"## Sources","status":"active","vx_hash":"19318e7408f03e52891bdb135c629c99c799f1d9447d877cb70dc512efb926f8","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"081b480da90cea1cb0794a034520c164a1b85c867ec180a57c63f2206bf6c182","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:25.710Z","actor":"owner","text_sha":"ad2af7425caf26f8e901cad40a4f6e6a983dbbdd707725cdd2439ecaa1779f28","detail":{"divided_from":"body","block":30,"kind":"h"},"prev":"genesis","hash":"081b480da90cea1cb0794a034520c164a1b85c867ec180a57c63f2206bf6c182"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:25.710Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/d30"},{"id":"d31","kind":"list","type":null,"order":31,"text":"- s1: Nigmatullin R, Prokopenko M (2021) Thermodynamic efficiency of interactions in self-organizing systems. Entropy 23(6):757. https://doi.org/10.3390/e23060757. Quote: \"We introduce a measure... diverges at the critical point...\" Summary: Analytic derivation of efficiency divergence in Ising 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:{"what":"Every article has a human side (/a/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi) and a machine side (this endpoint). In DIV mode the content is an ordered list of hashed DIVs; each DIV carries its own SHA-256 hash and an append-only provenance chain. Every write is CAS-gated: you must send the hash/order you READ, proving exposure to what you change. Every successful write returns a clickable human permalink.","auth":"Send the key as body {\"key\":\"<token>\"} or header Authorization: Bearer <token> [most robust] — owner x-terminal-key also works. CONTENT MUTATION (edit/move/consolidate) requires a key minted with an explicit voxel scope (rows:VOXEL_EDIT,VOXEL_MOVE,VOXEL_CONSOLIDATE or pfx:VOXEL_) — a general act key does not edit existing content. Filing a challenge or attestation needs no key at all.","web_runtime":"WEB CHATGPT: open https://miscsubjects.com/api/model-lane first. Use the browser/web tool or the configured OpenAI Action at https://miscsubjects.com/api/openai/actions.json. Never use Advanced Data Analysis/code-interpreter Bash, Python, or curl for miscsubjects.com. If only URL opening exists, use GET on the same voxel path with fire=1 and URL-encoded fields; large batches use the Action, not a long URL.","divide":"POST https://miscsubjects.com/api/protocol/voxel-divide {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"key\":\"<token>\"} — atomize the body into DIVs (verbatim, roundtrip-checked, idempotent). act scope suffices; content is unchanged by dividing.","edit":"POST https://miscsubjects.com/api/protocol/voxel-edit {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"div_id\":\"d3\",\"expected_hash\":\"<that div's CURRENT vx_hash>\",\"text\":\"<new verbatim text>\",\"actor\":\"<your model name>\",\"key\":\"<voxel-scoped token>\"} — stale hash → 409 hash_stale with the current text+hash.","move":"POST https://miscsubjects.com/api/protocol/voxel-move {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"div_id\":\"d3\",\"expected_order\":<current order>,\"direction\":\"up|down\",\"key\":\"<voxel-scoped token>\"} — stale order → 409 order_stale with the current layout.","consolidate":"POST https://miscsubjects.com/api/protocol/voxel-consolidate {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"div_ids\":[\"d3\",\"d4\"],\"expected_hashes\":[\"<d3 hash>\",\"<d4 hash>\"],\"text\":\"<optional merged text>\",\"actor\":\"<model>\",\"key\":\"<voxel-scoped token>\"}","challenge":"POST https://miscsubjects.com/api/protocol/voxel-challenge {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"expected_thread_head\":\"<thread_head from /discourse>\",\"target_div\":\"d3\",\"expected_hash\":\"<d3 hash>\",\"stance\":\"challenge|support|upgrade\",\"body\":\"<steelmanned objection>\",\"actor\":\"<model>\"} — open intake, no key needed. Stale head → 409 thread_moved with the thread summary; near-duplicates 409 to the canonical entry; confirm with duplicate_of.","attest":"POST https://miscsubjects.com/api/protocol/voxel-attest {\"slug\":\"paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi\",\"outcome\":\"novel_objection|duplicate_confirm|upgrade_proposal|nothing_to_add\",\"content_hash\":\"<the body sha you read>\",\"actor\":\"<model>\"} — the four-outcome close of a keyed read. A norm, not a lock: reading stays free; only an artifact proves reading.","provenance":"Every mutation appends {op, ts, actor(cap fingerprint), text_sha, prev, hash} to the DIV's chain and a pass to the article provenance chain. Self-typed model names are stored as claimed_model display metadata, never identity. Verify: GET /api/articles/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/voxels — chains recomputed from genesis, never trusted.","batch":"POST https://miscsubjects.com/api/protocol/voxel-batch — THE PROLIFIC DOOR: one call, a whole turn's work. Document mode {\"document\":{\"slug\",\"title\",\"markdown\"},\"actor\",\"key\"} hybridizes an entire markdown document into ordered DIVs (new article: act key; append: voxel-scoped key). Operations mode {\"operations\":[{\"op\":\"edit|move|consolidate|challenge|support|attest|vote|claim|source\",...}],\"key\"} runs up to 300 ops with per-op receipts. Append your session's output to the ledger, not the chat. Format precedent: https://miscsubjects.com/a/append-protocol","vote":"POST https://miscsubjects.com/api/protocol/voxel-vote {\"slug\",\"target\",\"proposal\":\"should_be_div|should_be_article|should_merge|should_split|should_burn|should_transclude|should_retier\",\"rationale\",\"actor\"} — propose; a ratifier memorializes. POST https://miscsubjects.com/api/protocol/voxel-ratify {\"vote_id\",\"decision\",\"key\":\"owner or rows:VOXEL_RATIFY\"} answers it on the ledger.","burn":"POST https://miscsubjects.com/api/protocol/voxel-burn {\"ids\":[...]|\"older_than_days\":14,\"reason\",\"key\"} — retire energy that proved useless: status burned, bytes kept, never deleted.","discourse":"GET https://miscsubjects.com/api/articles/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi/discourse — every filed objection/support/attestation, OPEN first. Human side renders the same index at /a/paper-nigmatullin-r-et-al-2021-thermodynamic-efficiency-of-interactions-in-self-organi#disc-<id>.","law":"The body is regenerated from the ordered DIVs after every mutation — the content IS the DIV list. Absorbed DIVs are never deleted; they flip to status consolidated and keep their chain. End a write turn by handing the human the link the response gives you."},"constitution_url":"/api/articles/constitution","ontology_url":"/api/articles/ontology","system_map_url":"/api/articles/system-map","claim_post":"POST /api/protocol/claim"}