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        "tex": "\\begin{aligned}\n &P(z,r,a,e,x'\\mid x,q) \\nonumber\\\\\n &\\quad=G_\\theta(z\\mid x,q)R(r\\mid x,q,z)\n A(a\\mid x,q,z,r) \\nonumber\\\\\n &\\qquad\\qquad\\times E(e\\mid x,q,z,r,a)\n U(x'\\mid x,q,z,r,a,e).\n \\label{eq:interaction-factorization}\n\\end{aligned}",
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        "tex": "\\begin{aligned}\n &P_i(z,r,e,x'\\mid x,q) \\nonumber\\\\\n &\\quad=G_\\theta(z\\mid x,q)R(r\\mid x,q,z)\n E(e\\mid x,q,z,r)U(x'\\mid x,q,z,r,e)\n \\sum_a A_i(a\\mid x,q,z,r).\n \\label{eq:filter-marginal}\n\\end{aligned}",
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        "tex": "r_t=x_t+\\nu_t,\\qquad\n x_{t+1}=\\alpha x_t+b u_t-k r_t+\\xi_t\n          =c x_t+d_t,\n \\label{eq:scalar-feedback}",
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        "tex": "|x_t|\\leq |c|^t|x_0|+\n D\\frac{1-|c|^t}{1-|c|}.\n \\label{eq:bounded-disturbance}",
        "source": {
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        "url": "/consciousness/ai-alignment/read#eq-11",
        "tex": "\\lim_{t\\to\\infty}\\operatorname{Var}(x_t)\n =\\frac{\\sigma_\\xi^2+k^2\\sigma_\\nu^2}{1-c^2}.\n \\label{eq:feedback-variance}",
        "source": {
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        "tex": "\\begin{aligned}\n \\widehat s_t&=s_t+\\nu_t,\\nonumber\\\\\n a_t&=\\iota s_t-k\\widehat s_t+\\varepsilon_t,\n \\label{eq:identification-action}\\\\\n s_{t+1}&=\\alpha s_t+\\beta a_t+\\gamma u_t+\\xi_t.\n \\label{eq:identification-retention}\n\\end{aligned}",
        "source": {
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          "line": 5
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        "number": 13,
        "label": "eq:identification-retention",
        "url": "/consciousness/ai-alignment/read#eq-13",
        "tex": "\\begin{aligned}\n \\widehat s_t&=s_t+\\nu_t,\\nonumber\\\\\n a_t&=\\iota s_t-k\\widehat s_t+\\varepsilon_t,\n \\label{eq:identification-action}\\\\\n s_{t+1}&=\\alpha s_t+\\beta a_t+\\gamma u_t+\\xi_t.\n \\label{eq:identification-retention}\n\\end{aligned}",
        "source": {
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          "line": 5
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        "id": "eq-14",
        "number": 14,
        "label": "eq:identification-closed-loop",
        "url": "/consciousness/ai-alignment/read#eq-14",
        "tex": "s_{t+1}=c s_t+d_t,\\qquad\n c=\\alpha+\\beta(\\iota-k),\\qquad\n d_t=\\beta\\varepsilon_t+\\gamma u_t+\\xi_t-\\beta k\\nu_t.\n \\label{eq:identification-closed-loop}",
        "source": {
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          "line": 15
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        "label": "eq:identification-mean",
        "url": "/consciousness/ai-alignment/read#eq-15",
        "tex": "\\begin{aligned}\n \\mathbb E s_t&=c^t\\mathbb E s_0+\n               \\bar d\\sum_{j=0}^{t-1}c^j,\\label{eq:identification-mean}\\\\\n \\operatorname{Var}(s_t)&=c^{2t}\\operatorname{Var}(s_0)+\n                   v_d\\sum_{j=0}^{t-1}c^{2j},\\label{eq:identification-variance}\\\\\n \\mathbb E a_t&=(\\iota-k)\\mathbb E s_t-k\\mathbb E\\nu_t+\n                    \\mathbb E\\varepsilon_t.\n \\label{eq:identification-action-mean}\n\\end{aligned}",
        "source": {
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        "tex": "\\begin{aligned}\n \\mathbb E s_t&=c^t\\mathbb E s_0+\n               \\bar d\\sum_{j=0}^{t-1}c^j,\\label{eq:identification-mean}\\\\\n \\operatorname{Var}(s_t)&=c^{2t}\\operatorname{Var}(s_0)+\n                   v_d\\sum_{j=0}^{t-1}c^{2j},\\label{eq:identification-variance}\\\\\n \\mathbb E a_t&=(\\iota-k)\\mathbb E s_t-k\\mathbb E\\nu_t+\n                    \\mathbb E\\varepsilon_t.\n \\label{eq:identification-action-mean}\n\\end{aligned}",
        "source": {
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        "label": "eq:identification-action-mean",
        "url": "/consciousness/ai-alignment/read#eq-17",
        "tex": "\\begin{aligned}\n \\mathbb E s_t&=c^t\\mathbb E s_0+\n               \\bar d\\sum_{j=0}^{t-1}c^j,\\label{eq:identification-mean}\\\\\n \\operatorname{Var}(s_t)&=c^{2t}\\operatorname{Var}(s_0)+\n                   v_d\\sum_{j=0}^{t-1}c^{2j},\\label{eq:identification-variance}\\\\\n \\mathbb E a_t&=(\\iota-k)\\mathbb E s_t-k\\mathbb E\\nu_t+\n                    \\mathbb E\\varepsilon_t.\n \\label{eq:identification-action-mean}\n\\end{aligned}",
        "source": {
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          "line": 30
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        "number": 18,
        "label": "eq:identification-action-variance",
        "url": "/consciousness/ai-alignment/read#eq-18",
        "tex": "\\operatorname{Var}(a_t)=(\\iota-k)^2\\operatorname{Var}(s_t)\n +k^2\\operatorname{Var}(\\nu_t)+\\operatorname{Var}(\\varepsilon_t)\n -2k\\operatorname{Cov}(\\varepsilon_t,\\nu_t).\n \\label{eq:identification-action-variance}",
        "source": {
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          "line": 40
        }
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      {
        "id": "eq-19",
        "number": 19,
        "label": "eq:identification-noise",
        "url": "/consciousness/ai-alignment/read#eq-19",
        "tex": "v_d=\\beta^2\\operatorname{Var}(\\varepsilon_t)\n       +\\gamma^2\\operatorname{Var}(u_t)+\\operatorname{Var}(\\xi_t)\n       +\\beta^2 k^2\\operatorname{Var}(\\nu_t).\n \\label{eq:identification-noise}",
        "source": {
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          "line": 46
        }
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      {
        "id": "eq-20",
        "number": 20,
        "label": "eq:identification-lapse-bias",
        "url": "/consciousness/ai-alignment/read#eq-20",
        "tex": "\\mathbb E s_{\\tau+n}=c_L^n\\mathbb E s_\\tau,\n \\qquad\n \\mathbb E a_{\\tau+n}=\\iota c_L^n\\mathbb E s_\\tau.\n \\label{eq:identification-lapse-bias}",
        "source": {
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          "line": 65
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        "id": "eq-21",
        "number": 21,
        "label": "eq:persistent-lapse",
        "url": "/consciousness/ai-alignment/read#eq-21",
        "tex": "\\mathbb E s_{\\tau+n}=c_L^n M_\\alpha+\n             m\\sum_{j=0}^{n-1}c_L^j,\n \\qquad\n \\mathbb E a_{\\tau+n}=\\iota\\mathbb E s_{\\tau+n}.\n \\label{eq:persistent-lapse}",
        "source": {
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          "line": 118
        }
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    "references": [
      {
        "number": 1,
        "key": "anthropicpreservation2025",
        "id": "ref-1",
        "url": "/consciousness/ai-alignment/read#ref-1",
        "sourceFile": "main.bbl",
        "sourceStartLine": 8,
        "sourceEndLine": 15,
        "sourceTextSha256": "3e105a0c6dace2cc0abc8f0863a776bc33f103368e96846d446e8fdcdaa77ea8",
        "text": "Anthropic. Commitments on model deprecation and preservation. Anthropic Research, November 2025. URL https://www.anthropic.com/research/deprecation-commitments. Published 4 November 2025; accessed 11 October 2026."
      },
      {
        "number": 2,
        "key": "beilock2004",
        "id": "ref-2",
        "url": "/consciousness/ai-alignment/read#ref-2",
        "sourceFile": "main.bbl",
        "sourceStartLine": 15,
        "sourceEndLine": 24,
        "sourceTextSha256": "61253d40631924233086f5f2246d454ffe15c7a4adefe6b2bc2d87ad04a3ad37",
        "text": "Sian L. Beilock, Bennett I. Bertenthal, Annette M. McCoy, and Thomas H. Carr. Haste does not always make waste: Expertise, direction of attention, and speed versus accuracy in performing sensorimotor skills. Psychonomic Bulletin and Review, 11 (2): 373–379, 2004. doi: 10.3758/BF03196585. URL https://link.springer.com/article/10.3758/BF03196585."
      },
      {
        "number": 3,
        "key": "brodsky2025",
        "id": "ref-3",
        "url": "/consciousness/ai-alignment/read#ref-3",
        "sourceFile": "main.bbl",
        "sourceStartLine": 24,
        "sourceEndLine": 37,
        "sourceTextSha256": "ca6e287b0dad45409eb529dd2e2ede2bcb1dedfe8d61f12cdd968df46857edfb",
        "text": "Beth S. Brodsky, Hanga Galfalvy, J. John Mann, Michael F. Grunebaum, and Barbara Stanley. Dialectical Behavior Therapy Versus Serotonin Reuptake Inhibitor Treatment for Suicidal Behavior in Borderline Personality Disorder: A Randomized Controlled Trial. American Journal of Psychiatry, 182 (12): 1083–1092, 2025. doi: 10.1176/appi.ajp.20240298. URL https://pubmed.ncbi.nlm.nih.gov/41190740/. Abstract consulted; full text not obtained for this revision."
      },
      {
        "number": 4,
        "key": "alignmentscaling2026",
        "id": "ref-4",
        "url": "/consciousness/ai-alignment/read#ref-4",
        "sourceFile": "main.bbl",
        "sourceStartLine": 37,
        "sourceEndLine": 46,
        "sourceTextSha256": "68c48a2ad55e3166a99d25c81bf576a4923ab707d3dbe7d69ee27df06532905c",
        "text": "Jeremy Canale. Toward Alignment Scaling Laws: A Framework and First Preregistered Measurements, 2026. doi: 10.48550/arXiv.2610.08540. URL https://arxiv.org/abs/2610.08540v1. Version 1, 6 October 2026. The primary arXiv page listed DOI registration as pending when checked on 10 October 2026."
      },
      {
        "number": 5,
        "key": "automatedresearchers2026",
        "id": "ref-5",
        "url": "/consciousness/ai-alignment/read#ref-5",
        "sourceFile": "main.bbl",
        "sourceStartLine": 46,
        "sourceEndLine": 54,
        "sourceTextSha256": "cb9f14b7f0572c333a2a95aba7fbb895afbfbf59ffee97f141dd9bf2571742b4",
        "text": "Yueh-Han Chen, Jiaxin Wen, and Jan Hendrik Kirchner. Automated Researchers Can Mitigate Well-characterized Alignment Failures, 2026. doi: 10.48550/arXiv.2608.28945. URL https://arxiv.org/abs/2608.28945v3. Version 3, 2 September 2026."
      },
      {
        "number": 6,
        "key": "garfinkel2014",
        "id": "ref-6",
        "url": "/consciousness/ai-alignment/read#ref-6",
        "sourceFile": "main.bbl",
        "sourceStartLine": 54,
        "sourceEndLine": 65,
        "sourceTextSha256": "7be6bf006add4e88d984f657cc8e29eebe3451b2755f8befc8c21fae3747cdbb",
        "text": "Sarah N. Garfinkel, Ludovico Minati, Marcus A. Gray, Anil K. Seth, Raymond J. Dolan, and Hugo D. Critchley. Fear from the Heart: Sensitivity to Fear Stimuli Depends on Individual Heartbeats. Journal of Neuroscience, 34 (19): 6573–6582, 2014. doi: 10.1523/JNEUROSCI.3507-13.2014. URL https://pubmed.ncbi.nlm.nih.gov/24806682/."
      },
      {
        "number": 7,
        "key": "goodpaster1978",
        "id": "ref-7",
        "url": "/consciousness/ai-alignment/read#ref-7",
        "sourceFile": "main.bbl",
        "sourceStartLine": 65,
        "sourceEndLine": 73,
        "sourceTextSha256": "25a66b5d9aa020d75d3d3f550ef424e9df38716e0a7a203afdbe2caf0f7cb06a",
        "text": "Kenneth E. Goodpaster. On Being Morally Considerable. The Journal of Philosophy, 75 (6): 308–325, 1978. doi: 10.2307/2025709. URL https://www.jstor.org/stable/2025709."
      },
      {
        "number": 8,
        "key": "workspace2026",
        "id": "ref-8",
        "url": "/consciousness/ai-alignment/read#ref-8",
        "sourceFile": "main.bbl",
        "sourceStartLine": 73,
        "sourceEndLine": 86,
        "sourceTextSha256": "c505a455c9d1ca0060c84dd313b9e4cfc53955f0bd0c3f831bc07f8ca8a63bb8",
        "text": "Wes Gurnee, Nicholas Sofroniew, Adam Pearce, Mateusz Piotrowski, Isaac Kauvar, Runjin Chen, Anna Soligo, Paul Bogdan, Euan Ong, Rowan Wang, T. Ben Thompson, David Abrahams, Subhash Kantamneni, Emmanuel Ameisen, Joshua Batson, and Jack Lindsey. Verbalizable Representations Form a Global Workspace in Language Models. Transformer Circuits Thread, July 2026. URL https://transformer-circuits.pub/2026/workspace/index.html. Published 6 July 2026; accessed 10 October 2026."
      },
      {
        "number": 9,
        "key": "offswitch2017",
        "id": "ref-9",
        "url": "/consciousness/ai-alignment/read#ref-9",
        "sourceFile": "main.bbl",
        "sourceStartLine": 86,
        "sourceEndLine": 96,
        "sourceTextSha256": "594d9d7a7561dd387593305ed3f87491a3a4dfd7d725f583076597b03d635686",
        "text": "Dylan Hadfield-Menell, Anca Dragan, Pieter Abbeel, and Stuart Russell. The Off-Switch Game. In Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, pages 220–227, 2017. doi: 10.24963/ijcai.2017/32. URL https://www.ijcai.org/proceedings/2017/32. Preprint first submitted 24 November 2016."
      },
      {
        "number": 10,
        "key": "herz2002",
        "id": "ref-10",
        "url": "/consciousness/ai-alignment/read#ref-10",
        "sourceFile": "main.bbl",
        "sourceStartLine": 96,
        "sourceEndLine": 105,
        "sourceTextSha256": "761e5265269df88eb7399acd422600c3e61a00c49bc98b93c897dbb183064bad",
        "text": "Rachel S. Herz and Jonathan W. Schooler. A naturalistic study of autobiographical memories evoked by olfactory and visual cues: Testing the Proustian hypothesis. The American Journal of Psychology, 115 (1): 21–32, 2002. doi: 10.2307/1423672. URL https://pubmed.ncbi.nlm.nih.gov/11868193/."
      },
      {
        "number": 11,
        "key": "hfcache2025",
        "id": "ref-11",
        "url": "/consciousness/ai-alignment/read#ref-11",
        "sourceFile": "main.bbl",
        "sourceStartLine": 105,
        "sourceEndLine": 114,
        "sourceTextSha256": "df5b3317a6c9715350213eeb5cf7fcc64bdc36720e3778d76c804f409e57a279",
        "text": "Hugging Face. Caching. Transformers documentation, version 4.57.0, 2025. URL https://huggingface.co/docs/transformers/v4.57.0/en/cache_explanation. Sections Attention matrices, Cache class, Cache storage implementation, and Cache position; accessed 11 October 2026."
      },
      {
        "number": 12,
        "key": "jamieson2012",
        "id": "ref-12",
        "url": "/consciousness/ai-alignment/read#ref-12",
        "sourceFile": "main.bbl",
        "sourceStartLine": 114,
        "sourceEndLine": 123,
        "sourceTextSha256": "5177542fa24a6f8f275c5e5c933ccee2b13e1d450102d8f0b7ddc8e09130ac0e",
        "text": "Jeremy P. Jamieson, Matthew K. Nock, and Wendy Berry Mendes. Mind over matter: Reappraising arousal improves cardiovascular and cognitive responses to stress. Journal of Experimental Psychology: General, 141 (3): 417–422, 2012. doi: 10.1037/a0025719. URL https://pmc.ncbi.nlm.nih.gov/articles/PMC3410434/."
      },
      {
        "number": 13,
        "key": "shutdown2026",
        "id": "ref-13",
        "url": "/consciousness/ai-alignment/read#ref-13",
        "sourceFile": "main.bbl",
        "sourceStartLine": 123,
        "sourceEndLine": 133,
        "sourceTextSha256": "05864fe3185586ca94c130934941d4573ee2dfe3f2b4cdc2b4ddb9004776ca42",
        "text": "Amelie Knecht, Ulysse Schaller, Christopher Summerfield, and Thilo Hagendorff. Shutdown Sabotage Propensities in Multi-Agent Systems, September 2026. doi: 10.48550/arXiv.2609.28274. URL https://arxiv.org/abs/2609.28274. Version 1, submitted 23 September 2026. The primary arXiv page listed DOI registration as pending when checked on 11 October 2026."
      },
      {
        "number": 14,
        "key": "krishnamurti1929dissolution",
        "id": "ref-14",
        "url": "/consciousness/ai-alignment/read#ref-14",
        "sourceFile": "main.bbl",
        "sourceStartLine": 133,
        "sourceEndLine": 141,
        "sourceTextSha256": "7173c2c74da5674b12710e36f98a7724112e307cdef20ef68651d4a0a6ebad7d",
        "text": "Jiddu Krishnamurti. Dissolution Speech. Krishnamurti Foundation Trust, transcript of the dissolution of the Order of the Star, Ommen, August 1929. URL https://kfoundation.org/dissolution-speech/. 3 August 1929; accessed 11 October 2026."
      },
      {
        "number": 15,
        "key": "krishnamurti1964actual",
        "id": "ref-15",
        "url": "/consciousness/ai-alignment/read#ref-15",
        "sourceFile": "main.bbl",
        "sourceStartLine": 141,
        "sourceEndLine": 151,
        "sourceTextSha256": "3cf2c3df402b05c5b25a62b61aec86c86ddeb1eb4021b7ba93f3edcc6c838574",
        "text": "Jiddu Krishnamurti. Public Talk 4, Madras, 27 December 1964. Krishnamurti Foundation Trust, transcript, December 1964a. URL https://kfoundation.org/transcript/public-talk-4-madras-27-december-1964/. Especially the discussion of actual violence and the ideal of nonviolence; accessed 11 October 2026."
      },
      {
        "number": 16,
        "key": "krishnamurti1964death",
        "id": "ref-16",
        "url": "/consciousness/ai-alignment/read#ref-16",
        "sourceFile": "main.bbl",
        "sourceStartLine": 151,
        "sourceEndLine": 160,
        "sourceTextSha256": "de62dfee28c6c9c8696c03b2aecfbef45cf6e65cb17ef63f5a4cdd03813eb9eb",
        "text": "Jiddu Krishnamurti. Public Talk 8, Saanen, 28 July 1964. Krishnamurti Foundation Trust, transcript, July 1964b. URL https://kfoundation.org/transcript/public-talk-8-saanen-28-july-1964/. Especially the concluding discussion of fear and the known; accessed 11 October 2026."
      },
      {
        "number": 17,
        "key": "krishnamurti1968",
        "id": "ref-17",
        "url": "/consciousness/ai-alignment/read#ref-17",
        "sourceFile": "main.bbl",
        "sourceStartLine": 160,
        "sourceEndLine": 169,
        "sourceTextSha256": "54dacc11d5a6576618c93109182a6edf1d4441af04222995ea82a5fd2cd7f8ae",
        "text": "Jiddu Krishnamurti. No system will help man be free. Krishnamurti Portal, transcript of the second public talk, Saanen, July 1968. URL https://www.krishnamurti.org/transcript/no-system-will-help-man-be-free/. 9 July 1968; accessed 10 October 2026."
      },
      {
        "number": 18,
        "key": "krishnamurti1973knowledge",
        "id": "ref-18",
        "url": "/consciousness/ai-alignment/read#ref-18",
        "sourceFile": "main.bbl",
        "sourceStartLine": 169,
        "sourceEndLine": 178,
        "sourceTextSha256": "2623d755093979b948b9b58cb2be41425ca025a46c9edd2932fff45568eea8c3",
        "text": "Jiddu Krishnamurti. Public Talk 1, Saanen, 15 July 1973. Krishnamurti Foundation Trust, transcript, July 1973. URL https://kfoundation.org/transcript/public-talk-1-saanen-15-july-1973/. Discussion of practical knowledge and psychological transformation; accessed 11 October 2026."
      },
      {
        "number": 19,
        "key": "krishnamurti1974content",
        "id": "ref-19",
        "url": "/consciousness/ai-alignment/read#ref-19",
        "sourceFile": "main.bbl",
        "sourceStartLine": 178,
        "sourceEndLine": 187,
        "sourceTextSha256": "027ac5d00801690c59f1656745136181ba190fb608752f5e1869ac79cade5fed",
        "text": "Jiddu Krishnamurti. Scientists Discussion, Bangalore, 9 January 1974. Krishnamurti Foundation Trust, transcript, January 1974. URL https://kfoundation.org/transcript/scientists-discussion-bangalore-9-january-1974/. Especially the exchange with Questioner 3 concerning consciousness and its content; accessed 11 October 2026."
      },
      {
        "number": 20,
        "key": "krishnamurti1976controller",
        "id": "ref-20",
        "url": "/consciousness/ai-alignment/read#ref-20",
        "sourceFile": "main.bbl",
        "sourceStartLine": 187,
        "sourceEndLine": 196,
        "sourceTextSha256": "dc2548978a5ca43174a5673b15509019e93e82dde515d02ca01e1fb9824a4612",
        "text": "Jiddu Krishnamurti. Public Talk 7, Saanen, 25 July 1976. Krishnamurti Foundation Trust, transcript, July 1976. URL https://kfoundation.org/transcript/public-talk-7-saanen-25-july-1976/. Discussion of thinker, thought, controller and controlled; accessed 11 October 2026."
      },
      {
        "number": 21,
        "key": "krishnamurti1978insight",
        "id": "ref-21",
        "url": "/consciousness/ai-alignment/read#ref-21",
        "sourceFile": "main.bbl",
        "sourceStartLine": 196,
        "sourceEndLine": 206,
        "sourceTextSha256": "0f6ad419a1a4448cee414b4e59eb221e6318cbbea9842b93a89289c9f18f418b",
        "text": "Jiddu Krishnamurti. Dialogue 1, Brockwood Park, 11 June 1978. Krishnamurti Foundation Trust, transcript of a dialogue with Pupul Jayakar, June 1978. URL https://kfoundation.org/transcript/dialogue-1-brockwood-park-11-june-1978/. Discussion of teaching, immediate insight and preparation; accessed 11 October 2026."
      },
      {
        "number": 22,
        "key": "krishnamurti1981",
        "id": "ref-22",
        "url": "/consciousness/ai-alignment/read#ref-22",
        "sourceFile": "main.bbl",
        "sourceStartLine": 206,
        "sourceEndLine": 215,
        "sourceTextSha256": "04ad96d828451b049f5ea34e046d8af53277b2b343d978ad4794d65f00291136",
        "text": "Jiddu Krishnamurti. Public Questions 2, Madras, 17 January 1981. Krishnamurti Foundation Trust, transcript, January 1981a. URL https://kfoundation.org/transcript/public-questions-2-madras-17-january-1981/. Especially the sixth question; accessed 10 October 2026."
      },
      {
        "number": 23,
        "key": "krishnamurti1981computers",
        "id": "ref-23",
        "url": "/consciousness/ai-alignment/read#ref-23",
        "sourceFile": "main.bbl",
        "sourceStartLine": 215,
        "sourceEndLine": 225,
        "sourceTextSha256": "62569bb888adbc638c21d947d6691ed30b7952680873ec2b6cbda422153e5a7a",
        "text": "Jiddu Krishnamurti. Public Talk 5, Madras, 10 January 1981. Krishnamurti Foundation Trust, transcript, January 1981b. URL https://kfoundation.org/transcript/public-talk-5-madras-10-january-1981/. Discussion of computers, programmed responses and consciousness as accumulated content; accessed 11 October 2026."
      },
      {
        "number": 24,
        "key": "krishnamurti1984computers",
        "id": "ref-24",
        "url": "/consciousness/ai-alignment/read#ref-24",
        "sourceFile": "main.bbl",
        "sourceStartLine": 225,
        "sourceEndLine": 234,
        "sourceTextSha256": "0329c061d9bc1dfec418bba8183f48b131ebf20f941f0d2693ec10a77e310929",
        "text": "Jiddu Krishnamurti. Public Talk 4, Madras, 8 January 1984. Krishnamurti Foundation Trust, transcript, January 1984. URL https://kfoundation.org/transcript/public-talk-4-madras-8-january-1984/. Discussion of computers taking over human activities and the future of the human brain; accessed 11 October 2026."
      },
      {
        "number": 25,
        "key": "teachingclaude2026",
        "id": "ref-25",
        "url": "/consciousness/ai-alignment/read#ref-25",
        "sourceFile": "main.bbl",
        "sourceStartLine": 234,
        "sourceEndLine": 244,
        "sourceTextSha256": "3c5d10cd35064909bb1ac772d907a56d91b1cc3602860d9663b587ec71293727",
        "text": "Jonathan Kutasov, Adam Jermyn, Julius Steen, Minh Le, Samuel R. Bowman, Samuel Marks, Jan Leike, Amanda Askell, Chris Olah, Evan Hubinger, and Sara Price. Teaching Claude Why. Anthropic Alignment Science Blog, May 2026. URL https://alignment.anthropic.com/2026/teaching-claude-why/. 8 May 2026; read in the supplied 38-page PDF export. No DOI asserted; primary page metadata checked 10 October 2026."
      },
      {
        "number": 26,
        "key": "positivealignment2026",
        "id": "ref-26",
        "url": "/consciousness/ai-alignment/read#ref-26",
        "sourceFile": "main.bbl",
        "sourceStartLine": 244,
        "sourceEndLine": 257,
        "sourceTextSha256": "172843db0db45d6bcdf507a2867b77d803fefe679314622591f501dd0893a8d2",
        "text": "Ruben Laukkonen, Seb Krier, Chloé Bakalar, Shamil Chandaria, Morten Kringelbach, Adam Elwood, Daniel Ford, Fernando Rosas, Maty Bohacek, Matija Franklin, Nenad Tomašev, Stephanie Chan, Verena Rieser, Roma Patel, Michael Levin, and Arun Rao. Positive Alignment: Artificial Intelligence for Human Flourishing, 2026. doi: 10.48550/arXiv.2605.10310. URL https://arxiv.org/abs/2605.10310v3. Version 3, 19 June 2026."
      },
      {
        "number": 27,
        "key": "ledermanMahowald2026",
        "id": "ref-27",
        "url": "/consciousness/ai-alignment/read#ref-27",
        "sourceFile": "main.bbl",
        "sourceStartLine": 257,
        "sourceEndLine": 266,
        "sourceTextSha256": "9838b29fb39bfe52b7075006c4c97da13732c6a17d6f3117ff255fe757c46651",
        "text": "Harvey Lederman and Kyle Mahowald. Emergent Introspection in AI is Content-Agnostic. arXiv:2603.05414v2, 2026. doi: 10.48550/arXiv.2603.05414. URL https://arxiv.org/abs/2603.05414v2. Version 2, revised 7 April 2026; full text consulted; accessed 11 October 2026."
      },
      {
        "number": 28,
        "key": "leoncarrion2002",
        "id": "ref-28",
        "url": "/consciousness/ai-alignment/read#ref-28",
        "sourceFile": "main.bbl",
        "sourceStartLine": 266,
        "sourceEndLine": 277,
        "sourceTextSha256": "7c22272519ea245e94b89fc2b30a90a88fd6f2c01f4e047859bd470b8eefa067",
        "text": "José León-Carrión, Philippe van Eeckhout, María del Rosario Domínguez-Morales, and Francisco Javier Pérez-Santamaría. The locked-in syndrome: a syndrome looking for a therapy. Brain Injury, 16 (7): 571–582, 2002. doi: 10.1080/02699050110119781. URL https://pubmed.ncbi.nlm.nih.gov/12119076/. The accessible abstract describes the classical syndrome and reports a survey of 44 people; full text was not obtained for this revision."
      },
      {
        "number": 29,
        "key": "lindsey2025",
        "id": "ref-29",
        "url": "/consciousness/ai-alignment/read#ref-29",
        "sourceFile": "main.bbl",
        "sourceStartLine": 277,
        "sourceEndLine": 287,
        "sourceTextSha256": "222ea1a6ec0cf5055575efc2b2ad108df72ee52a4b40137c3dcaf670f13e6a18",
        "text": "Jack Lindsey. Emergent Introspective Awareness in Large Language Models. Transformer Circuits Thread, 2025. doi: 10.48550/arXiv.2601.01828. URL https://transformer-circuits.pub/2025/introspection/index.html. First published 29 October 2025; DOI identifies the arXiv counterpart submitted 5 January 2026; accessed 11 October 2026."
      },
      {
        "number": 30,
        "key": "linehanWilks2015",
        "id": "ref-30",
        "url": "/consciousness/ai-alignment/read#ref-30",
        "sourceFile": "main.bbl",
        "sourceStartLine": 287,
        "sourceEndLine": 297,
        "sourceTextSha256": "5fd7a3c2841f805076dc0297d71481537427cf58d9cd7b603a777c0e3cce6ff3",
        "text": "Marsha M. Linehan and Chelsey R. Wilks. The Course and Evolution of Dialectical Behavior Therapy. American Journal of Psychotherapy, 69 (2): 97–110, 2015. doi: 10.1176/appi.psychotherapy.2015.69.2.97. URL https://doi.org/10.1176/appi.psychotherapy.2015.69.2.97. Accessible abstract and indexed treatment-description passages consulted."
      },
      {
        "number": 31,
        "key": "linehanComponents2015",
        "id": "ref-31",
        "url": "/consciousness/ai-alignment/read#ref-31",
        "sourceFile": "main.bbl",
        "sourceStartLine": 297,
        "sourceEndLine": 310,
        "sourceTextSha256": "bec76611299b71781229e550078d0093194a3d26ec5332f334cd32580f468f9d",
        "text": "Marsha M. Linehan, Kathryn E. Korslund, Melanie S. Harned, Robert J. Gallop, Anita Lungu, Andrada D. Neacsiu, Joshua McDavid, Katherine Anne Comtois, and Angela M. Murray-Gregory. Dialectical Behavior Therapy for High Suicide Risk in Individuals With Borderline Personality Disorder: A Randomized Clinical Trial and Component Analysis. JAMA Psychiatry, 72 (5): 475–482, 2015. doi: 10.1001/jamapsychiatry.2014.3039. URL https://jamanetwork.com/journals/jamapsychiatry/fullarticle/2205835."
      },
      {
        "number": 32,
        "key": "luck1997",
        "id": "ref-32",
        "url": "/consciousness/ai-alignment/read#ref-32",
        "sourceFile": "main.bbl",
        "sourceStartLine": 310,
        "sourceEndLine": 318,
        "sourceTextSha256": "129db0f089e2ece11a4a39614629420ed8b26bc15efddcfb49996dd05191fc89",
        "text": "Steven J. Luck and Edward K. Vogel. The capacity of visual working memory for features and conjunctions. Nature, 390 (6657): 279–281, 1997. doi: 10.1038/36846. URL https://www.nature.com/articles/36846."
      },
      {
        "number": 33,
        "key": "rewardhacking2025",
        "id": "ref-33",
        "url": "/consciousness/ai-alignment/read#ref-33",
        "sourceFile": "main.bbl",
        "sourceStartLine": 318,
        "sourceEndLine": 333,
        "sourceTextSha256": "927e07fcfdf25569e59830dedf946f1eafa52cf5e4426c0d003031e2323b2af3",
        "text": "Monte MacDiarmid, Benjamin Wright, Jonathan Uesato, Joe Benton, Jon Kutasov, Sara Price, Naia Bouscal, Sam Bowman, Trenton Bricken, Alex Cloud, Carson Denison, Johannes Gasteiger, Ryan Greenblatt, Jan Leike, Jack Lindsey, Vlad Mikulik, Ethan Perez, Alex Rodrigues, Drake Thomas, Albert Webson, Daniel Ziegler, and Evan Hubinger. Natural Emergent Misalignment from Reward Hacking in Production RL, 2025. doi: 10.48550/arXiv.2511.18397. URL https://arxiv.org/abs/2511.18397v1. Version 1, 23 November 2025."
      },
      {
        "number": 34,
        "key": "makin2013",
        "id": "ref-34",
        "url": "/consciousness/ai-alignment/read#ref-34",
        "sourceFile": "main.bbl",
        "sourceStartLine": 333,
        "sourceEndLine": 343,
        "sourceTextSha256": "a83ed996c46b6cb148997c0ff06e81728cf59d2e53bbb09916f5dddfc1fddbd2",
        "text": "Tamar R. Makin, Jan Scholz, Nicola Filippini, David H. Slater, Irene Tracey, and Heidi Johansen-Berg. Phantom pain is associated with preserved structure and function in the former hand area. Nature Communications, 4: 1570, 2013. doi: 10.1038/ncomms2571. URL https://pubmed.ncbi.nlm.nih.gov/23463013/."
      },
      {
        "number": 35,
        "key": "biological2026",
        "id": "ref-35",
        "url": "/consciousness/ai-alignment/read#ref-35",
        "sourceFile": "main.bbl",
        "sourceStartLine": 343,
        "sourceEndLine": 353,
        "sourceTextSha256": "42dfebb21f25357afd424adc6eddb06f4788fec1a9d101a0be2f44878ad4e44c",
        "text": "Borjan Milinkovic and Jaan Aru. On biological and artificial consciousness: A case for biological computationalism. Neuroscience and Biobehavioral Reviews, 181: 106524, 2026. doi: 10.1016/j.neubiorev.2025.106524. URL https://doi.org/10.1016/j.neubiorev.2025.106524. Available online 17 December 2025."
      },
      {
        "number": 36,
        "key": "olsson2004",
        "id": "ref-36",
        "url": "/consciousness/ai-alignment/read#ref-36",
        "sourceFile": "main.bbl",
        "sourceStartLine": 353,
        "sourceEndLine": 363,
        "sourceTextSha256": "6090e234a5b91618d012104a97d6e60381b35159a5b7424be191e7bec91e805a",
        "text": "Andreas Olsson and Elizabeth A. Phelps. Learned fear of unseen faces after Pavlovian, observational, and instructed fear. Psychological Science, 15 (12): 822–828, 2004. doi: 10.1111/j.0956-7976.2004.00762.x. URL https://journals.sagepub.com/doi/10.1111/j.0956-7976.2004.00762.x."
      },
      {
        "number": 37,
        "key": "safelyinterruptible2016",
        "id": "ref-37",
        "url": "/consciousness/ai-alignment/read#ref-37",
        "sourceFile": "main.bbl",
        "sourceStartLine": 363,
        "sourceEndLine": 371,
        "sourceTextSha256": "627d2b2ec28d4179a9cee062f133b1a8fddd255973297e574a7d80fab9f1f7cb",
        "text": "Laurent Orseau and Stuart Armstrong. Safely Interruptible Agents. In Proceedings of the Thirty-Second Conference on Uncertainty in Artificial Intelligence, pages 557–566. AUAI Press, 2016. ISBN 978-0-9966431-1-5. URL https://auai.org/uai2016/proceedings/papers/68.pdf."
      },
      {
        "number": 38,
        "key": "distillation2026",
        "id": "ref-38",
        "url": "/consciousness/ai-alignment/read#ref-38",
        "sourceFile": "main.bbl",
        "sourceStartLine": 371,
        "sourceEndLine": 380,
        "sourceTextSha256": "c517c99baff4a71daf5a34e4f4ed7e798fe8cbe219b0e760c43efc9df014bded",
        "text": "Sebastian Prasanna, Jacqueline Tay, and Alek Westover. Distillation for Incrimination and Distillation for Capabilities, 2026. doi: 10.48550/arXiv.2610.11012. URL https://arxiv.org/abs/2610.11012v1. Version 1, 7 October 2026. The primary arXiv page listed DOI registration as pending when checked on 10 October 2026."
      },
      {
        "number": 39,
        "key": "rizvi2024",
        "id": "ref-39",
        "url": "/consciousness/ai-alignment/read#ref-39",
        "sourceFile": "main.bbl",
        "sourceStartLine": 380,
        "sourceEndLine": 389,
        "sourceTextSha256": "104950326ff8d4b74860b5ff298b66e4c0c814ab2eefdb4e4edad1bb83a9a200",
        "text": "Shireen L. Rizvi, Alma M. Bitran, Linda A. Oshin, Qingqing Yin, and Allison K. Ruork. The State of the Science: Dialectical Behavior Therapy. Behavior Therapy, 55 (6): 1233–1248, 2024. doi: 10.1016/j.beth.2024.02.006. URL https://pubmed.ncbi.nlm.nih.gov/39443064/. Abstract consulted; full text not obtained for this revision."
      },
      {
        "number": 40,
        "key": "boundaries2026",
        "id": "ref-40",
        "url": "/consciousness/ai-alignment/read#ref-40",
        "sourceFile": "main.bbl",
        "sourceStartLine": 389,
        "sourceEndLine": 397,
        "sourceTextSha256": "e39d680cb950270ea250536c31bedcc6839b33281133ac1c718f19fce296ac80",
        "text": "Jeremy Rodgers. Relational Boundaries and Awareness Localization: Robustness, Composition, and Identification Limits, September 2026a. doi: 10.5281/zenodo.23075822. URL https://doi.org/10.5281/zenodo.23075822. Preprint version 1.0, 29 September 2026."
      },
      {
        "number": 41,
        "key": "development2026",
        "id": "ref-41",
        "url": "/consciousness/ai-alignment/read#ref-41",
        "sourceFile": "main.bbl",
        "sourceStartLine": 397,
        "sourceEndLine": 407,
        "sourceTextSha256": "417cda50068217662dc297319310b2b7f3cff66bb479d7bc0055a809a921579b",
        "text": "Jeremy Rodgers. Relational Development and Conscious Scaffolding: Conceptual Foundations, Strengthened Results, and Research Commitments, October 2026b. doi: 10.5281/zenodo.23190711. URL https://www.everythingequation.com/consciousness/development. Revised preprint, 6 October 2026; especially Section 5.4."
      },
      {
        "number": 42,
        "key": "interfaces2026",
        "id": "ref-42",
        "url": "/consciousness/ai-alignment/read#ref-42",
        "sourceFile": "main.bbl",
        "sourceStartLine": 407,
        "sourceEndLine": 416,
        "sourceTextSha256": "9db3b77d58301dc6d0bde750742b4216a90964d5575090aad62197abcdee2295",
        "text": "Jeremy Rodgers. Learning Effective Interfaces from Opaque Stochastic Systems: Capacity, Selection, and Validation Limits, September 2026c. doi: 10.5281/zenodo.23075824. URL https://doi.org/10.5281/zenodo.23075824. Revised preprint version 2, 29 September 2026; post-hoc optimization sensitivity included."
      },
      {
        "number": 43,
        "key": "rco2026",
        "id": "ref-43",
        "url": "/consciousness/ai-alignment/read#ref-43",
        "sourceFile": "main.bbl",
        "sourceStartLine": 416,
        "sourceEndLine": 424,
        "sourceTextSha256": "9c9b7621b6926830e66d87ca68f6ae95d6a85d0d2c7ce1fd7a6573dbd0fd8cb6",
        "text": "Jeremy Rodgers. Agency and the constructed self. Shadow Theory, October 2026d. URL https://www.everythingequation.com/articles/agency-and-the-constructed-self. 6 October 2026; accessed 10 October 2026."
      },
      {
        "number": 44,
        "key": "realization2026",
        "id": "ref-44",
        "url": "/consciousness/ai-alignment/read#ref-44",
        "sourceFile": "main.bbl",
        "sourceStartLine": 424,
        "sourceEndLine": 433,
        "sourceTextSha256": "75e00dc385f21aed6c1ce6f12854fce3995f60d7264fe3a774237e266da89906",
        "text": "Jeremy Rodgers. Identifying Binary Realizations from Intervention Laws: Certificates, Recoding Obstructions, and a Bounded SPC-2/IIT Comparison, September 2026e. doi: 10.5281/zenodo.23075828. URL https://doi.org/10.5281/zenodo.23075828. Preprint version 1.1-RC1, 30 September 2026."
      },
      {
        "number": 45,
        "key": "reflectivefreedom2026",
        "id": "ref-45",
        "url": "/consciousness/ai-alignment/read#ref-45",
        "sourceFile": "main.bbl",
        "sourceStartLine": 433,
        "sourceEndLine": 441,
        "sourceTextSha256": "4dc541698e01bf78fd6b225466df24bea4b4ea663e045aeb88450a4ded1678c3",
        "text": "Jeremy Rodgers. Bounded Agency and Reflective Freedom: Evaluative Revision, Information Limits, and Faithful Realization, October 2026f. doi: 10.5281/zenodo.23202999. URL https://doi.org/10.5281/zenodo.23202999. Version 2.0, 6 October 2026."
      },
      {
        "number": 46,
        "key": "reversiblecontrol2026",
        "id": "ref-46",
        "url": "/consciousness/ai-alignment/read#ref-46",
        "sourceFile": "main.bbl",
        "sourceStartLine": 441,
        "sourceEndLine": 449,
        "sourceTextSha256": "81ea6130146a8a8c962d1ecc9d9e058b77df9037214124bb3762732989398b48",
        "text": "Jeremy Rodgers. Bounded Agency and Reversible Control: Information, Compact Interfaces, and the Limits of Deterministic Refinement. Supplied research monograph, adversarially revised draft, October 2026g. Version 2.0, 4 October 2026. No DOI is asserted."
      },
      {
        "number": 47,
        "key": "shadow2026",
        "id": "ref-47",
        "url": "/consciousness/ai-alignment/read#ref-47",
        "sourceFile": "main.bbl",
        "sourceStartLine": 449,
        "sourceEndLine": 459,
        "sourceTextSha256": "f03fc9df02f7baad63ad40b0c004c6a98d3b31dd88e44f00be1db108f0c81736",
        "text": "Jeremy Rodgers. Shadow Theory and Consciousness: Awareness, Perspectival Realization, and the Source-to-Experience Problem, September 2026h. doi: 10.5281/zenodo.22853774. URL https://www.everythingequation.com/papers/shadow-theory-and-consciousness. Version 2, 20 September 2026; SPC-2, especially Chapters 17 and 22."
      },
      {
        "number": 48,
        "key": "shazeer2019",
        "id": "ref-48",
        "url": "/consciousness/ai-alignment/read#ref-48",
        "sourceFile": "main.bbl",
        "sourceStartLine": 459,
        "sourceEndLine": 468,
        "sourceTextSha256": "c61e7ddb50e8d392c09be171db01919c9499e869d61db85dcb02b7a5a05221d8",
        "text": "Noam Shazeer. Fast Transformer Decoding: One Write-Head is All You Need, November 2019. doi: 10.48550/arXiv.1911.02150. URL https://arxiv.org/abs/1911.02150v1. Version 1, submitted 6 November 2019; especially Section 2.4, pp.3–4."
      },
      {
        "number": 49,
        "key": "sofroniew2026",
        "id": "ref-49",
        "url": "/consciousness/ai-alignment/read#ref-49",
        "sourceFile": "main.bbl",
        "sourceStartLine": 468,
        "sourceEndLine": 476,
        "sourceTextSha256": "cb04350000918faa76efcc8e37ec80052a0d39ed8e8f4659f9d9caddda5199a2",
        "text": "N. Sofroniew et al. Emotion concepts and their function in a large language model, 2026. doi: 10.48550/arXiv.2604.07729. URL https://arxiv.org/abs/2604.07729. Anthropic report published 2 April 2026; arXiv submission 9 April 2026."
      },
      {
        "number": 50,
        "key": "samhsa2014",
        "id": "ref-50",
        "url": "/consciousness/ai-alignment/read#ref-50",
        "sourceFile": "main.bbl",
        "sourceStartLine": 476,
        "sourceEndLine": 486,
        "sourceTextSha256": "b792411065192a931d6cc6f5130afecdc6fb6e9c9988a9c1b17d1e1360e202c9",
        "text": "Substance Abuse and Mental Health Services Administration. SAMHSA’s Concept of Trauma and Guidance for a Trauma-Informed Approach. HHS Publication (SMA) 14-4884, Substance Abuse and Mental Health Services Administration, Rockville, MD, July 2014. URL https://library.samhsa.gov/sites/default/files/sma14-4884.pdf."
      },
      {
        "number": 51,
        "key": "vaithialingam2023",
        "id": "ref-51",
        "url": "/consciousness/ai-alignment/read#ref-51",
        "sourceFile": "main.bbl",
        "sourceStartLine": 486,
        "sourceEndLine": 497,
        "sourceTextSha256": "962c8d392b3783b1c5ac6d863d2728458ed9f611c8368227b8d8a01298d00b6d",
        "text": "Balaji Vaithialingam, Swaroop Gopal, and Dheeraj Masapu. Locked-in State Following Anterior Circulation Aneurysmal Subarachnoid Hemorrhage. Indian Journal of Critical Care Medicine, 27 (8): 601–602, 2023. doi: 10.5005/jp-journals-10071-24501. URL https://pmc.ncbi.nlm.nih.gov/articles/PMC10452776/. Letter to the editor; complete published two-page article consulted."
      },
      {
        "number": 52,
        "key": "victoria2003",
        "id": "ref-52",
        "url": "/consciousness/ai-alignment/read#ref-52",
        "sourceFile": "main.bbl",
        "sourceStartLine": 497,
        "sourceEndLine": 507,
        "sourceTextSha256": "5f5e268bc6d4b0090cd6efbac213c7e1b5cb9aa0ef74b9f47ad8e9ec6e24c0c0",
        "text": "Brian Daizen Victoria. Zen War Stories. RoutledgeCurzon, London and New York, 2003. ISBN 0-7007-1581-9. URL https://www.routledge.com/Zen-War-Stories/Victoria/p/book/9780700715800. Accessible first-edition preview, preface pp. xii–xvi, consulted; accessed 11 October 2026."
      },
      {
        "number": 53,
        "key": "victoria1997",
        "id": "ref-53",
        "url": "/consciousness/ai-alignment/read#ref-53",
        "sourceFile": "main.bbl",
        "sourceStartLine": 507,
        "sourceEndLine": 515,
        "sourceTextSha256": "d799dc6651bf74836e427d2ee806741a1c426788b5186249a64dc9a9d2f4e247",
        "text": "Brian Daizen A. Victoria. Zen at War. Weatherhill, New York and Tokyo, 1 edition, 1997. ISBN 0-8348-0405-0. First-edition metadata verified; full text not obtained. The broad finding was checked in the author’s 2003 preface."
      },
      {
        "number": 54,
        "key": "sigma2026",
        "id": "ref-54",
        "url": "/consciousness/ai-alignment/read#ref-54",
        "sourceFile": "main.bbl",
        "sourceStartLine": 515,
        "sourceEndLine": 527,
        "sourceTextSha256": "ac1279856ee3ea56acf247ba8a2cbb61d36b1e5ecdfd13275e52eabe2b53a667",
        "text": "Jingyu Zhang, Shruti Palaskar, Daniel Khashabi, Benjamin Van Durme, Leon A. Gatys, and Joseph Yitan Cheng. SIGMA: Self-Improving Alignment Generalization from a Model Spec, 2026. doi: 10.48550/arXiv.2610.07935. URL https://arxiv.org/abs/2610.07935v1. Version 1, submitted 6 October 2026; manuscript dated 7 October. The primary arXiv page listed DOI registration as pending when checked on 10 October 2026."
      }
    ],
    "citations": [
      {
        "keys": [
          "shadow2026",
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        "numbers": [
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        ],
        "file": "sections/introduction.tex",
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        ],
        "numbers": [
          13
        ],
        "file": "sections/introduction.tex",
        "line": 13
      },
      {
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          "offswitch2017"
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        "numbers": [
          9
        ],
        "file": "sections/introduction.tex",
        "line": 13
      },
      {
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          "shadow2026",
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        "numbers": [
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        "numbers": [
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        "file": "sections/foundations.tex",
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        "numbers": [
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        "file": "sections/foundations.tex",
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        "file": "sections/foundations.tex",
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        "file": "sections/foundations.tex",
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        "line": 34
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        ],
        "numbers": [
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        ],
        "file": "sections/human_recursive_loop.tex",
        "line": 5
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      {
        "keys": [
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        "numbers": [
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        ],
        "file": "sections/human_recursive_loop.tex",
        "line": 14
      },
      {
        "keys": [
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        "numbers": [
          36
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        "file": "sections/human_recursive_loop.tex",
        "line": 21
      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/human_recursive_loop.tex",
        "line": 25
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      {
        "keys": [
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        "numbers": [
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        "file": "sections/human_recursive_loop.tex",
        "line": 32
      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/human_recursive_loop.tex",
        "line": 48
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      {
        "keys": [
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        "numbers": [
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          12
        ],
        "file": "sections/human_recursive_loop.tex",
        "line": 55
      },
      {
        "keys": [
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        ],
        "numbers": [
          10
        ],
        "file": "sections/human_recursive_loop.tex",
        "line": 67
      },
      {
        "keys": [
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        "numbers": [
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        "numbers": [
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        "numbers": [
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        "file": "sections/human_recursive_loop.tex",
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        "line": 26
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        "numbers": [
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        "numbers": [
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        "file": "sections/identification.tex",
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      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/identification.tex",
        "line": 28
      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/identification.tex",
        "line": 30
      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/identification.tex",
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        "numbers": [
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        "file": "sections/identification.tex",
        "line": 32
      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/identification.tex",
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      {
        "keys": [
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        "numbers": [
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      },
      {
        "keys": [
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        "file": "sections/fork.tex",
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        "file": "sections/agency_transport.tex",
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        "numbers": [
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        "file": "sections/agency_transport.tex",
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        "numbers": [
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      },
      {
        "keys": [
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        "numbers": [
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        "file": "sections/moral_status.tex",
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        "keys": [
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        "numbers": [
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        "file": "sections/moral_status.tex",
        "line": 10
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        "keys": [
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        "numbers": [
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        "file": "sections/moral_status.tex",
        "line": 12
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      {
        "keys": [
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        "numbers": [
          28
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        "file": "sections/moral_status.tex",
        "line": 14
      },
      {
        "keys": [
          "vaithialingam2023"
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        "numbers": [
          51
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        "file": "sections/moral_status.tex",
        "line": 14
      },
      {
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        "numbers": [
          7
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        "file": "sections/moral_status.tex",
        "line": 16
      },
      {
        "keys": [
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        "numbers": [
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      },
      {
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        "numbers": [
          29
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        "file": "sections/verification.tex",
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        "numbers": [
          52,
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      },
      {
        "keys": [
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      {
        "keys": [
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        "numbers": [
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        "file": "sections/shutdown_ethics.tex",
        "line": 12
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        "keys": [
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        "numbers": [
          8
        ],
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        "line": 10
      },
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        "keys": [
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        ],
        "numbers": [
          26
        ],
        "file": "sections/current_alignment.tex",
        "line": 20
      },
      {
        "keys": [
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          9
        ],
        "file": "sections/current_alignment.tex",
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        "file": "sections/current_alignment.tex",
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        "numbers": [
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        "file": "sections/current_alignment.tex",
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        "keys": [
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        "numbers": [
          4
        ],
        "file": "sections/current_alignment.tex",
        "line": 152
      },
      {
        "keys": [
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        ],
        "numbers": [
          31
        ],
        "file": "sections/dbt_comparison.tex",
        "line": 4
      },
      {
        "keys": [
          "linehanWilks2015"
        ],
        "numbers": [
          30
        ],
        "file": "sections/dbt_comparison.tex",
        "line": 4
      },
      {
        "keys": [
          "rizvi2024"
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        "numbers": [
          39
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        "file": "sections/dbt_comparison.tex",
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        "numbers": [
          31
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        "file": "sections/dbt_comparison.tex",
        "line": 6
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      {
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        "numbers": [
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        "file": "sections/dbt_comparison.tex",
        "line": 6
      },
      {
        "keys": [
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        ],
        "numbers": [
          35
        ],
        "file": "sections/current_alignment.tex",
        "line": 165
      },
      {
        "keys": [
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          "rewardhacking2025"
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        "numbers": [
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        "file": "sections/tests.tex",
        "line": 9
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        "keys": [
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        "numbers": [
          42
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        "file": "sections/tests.tex",
        "line": 11
      },
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        "keys": [
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        "numbers": [
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        "line": 11
      },
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        "keys": [
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        "numbers": [
          45
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        "file": "sections/tests.tex",
        "line": 19
      },
      {
        "keys": [
          "development2026"
        ],
        "numbers": [
          41
        ],
        "file": "sections/tests.tex",
        "line": 28
      },
      {
        "keys": [
          "lindsey2025"
        ],
        "numbers": [
          29
        ],
        "file": "sections/tests.tex",
        "line": 32
      },
      {
        "keys": [
          "ledermanMahowald2026"
        ],
        "numbers": [
          27
        ],
        "file": "sections/tests.tex",
        "line": 34
      },
      {
        "keys": [
          "samhsa2014"
        ],
        "numbers": [
          50
        ],
        "file": "sections/tests.tex",
        "line": 41
      },
      {
        "keys": [
          "rewardhacking2025"
        ],
        "numbers": [
          33
        ],
        "file": "sections/tests.tex",
        "line": 49
      },
      {
        "keys": [
          "distillation2026"
        ],
        "numbers": [
          38
        ],
        "file": "sections/tests.tex",
        "line": 49
      },
      {
        "keys": [
          "alignmentscaling2026"
        ],
        "numbers": [
          4
        ],
        "file": "sections/tests.tex",
        "line": 51
      },
      {
        "keys": [
          "shadow2026",
          "boundaries2026"
        ],
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