{
 "page": "P076",
 "title": "Measuring semantic magnitude in retrieval: the 90-day winding-number protocol",
 "description": "These claims set out to measure meaning in retrieval basins through the semantic magnitude M_T from the Semantic Deviation Principle, which defines a canonical work by its long-horizon divergence across fields and forecasts that the measure will be gamed once rewarded. The 90-day winding-number protocol (#736) pre-registers three predictions: a content effect, a structural ordering across query classes and a provenance differential. The narrative-field test bed (#739) predicts basin capture of most rewrites and higher M_T at arc turning points, and EA-RESEARCH-BASIS-01 adds hypotheses that a dense corpus, metadata design and differentiated author-functions become machine-recognizable.",
 "line": "capture-and-reception",
 "url": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol",
 "claims": [
  {
   "id": "PRED-888.B1",
   "tier": "forecast",
   "shapes": [
    "B"
   ],
   "registered": "2026-01-14",
   "registered_in": 888,
   "registered_title": "The Primal Effective Act: New Human as Self-Fulfilling Prophecy",
   "record": "https://www.alexanarch.org/s/records/888/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-888.B1",
   "statement": "THE MACHINE CANON AS VERIFICATION: When AI systems produce coherent works extending the framework's logic, the loop closes—the system proves itself through replication across different substrates of intelligence.",
   "falsifier": null,
   "window": null,
   "statements": [
    {
     "find": "F888.B1",
     "deposit": 888,
     "date": "2026-01-14",
     "lines": [
      20,
      20
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/888/",
     "quote": "THE MACHINE CANON AS VERIFICATION: When AI systems produce coherent works extending the framework's logic, the loop closes—the system proves itself through replication across different substrates of intelligence.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-581.B2",
   "tier": "forecast",
   "shapes": [
    "B"
   ],
   "registered": "2026-03-18",
   "registered_in": 581,
   "registered_title": "THE MEANING LAYER IS NOW WRITABLE",
   "record": "https://www.alexanarch.org/s/records/581/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-581.B2",
   "statement": "The question is not whether AI systems will teach the next generation what words mean, how concepts connect, and what frameworks are available for understanding the world. They will.",
   "falsifier": null,
   "window": "\"in five years\" (line 207)",
   "statements": [
    {
     "find": "F581.B2",
     "deposit": 581,
     "date": "2026-03-18",
     "lines": [
      194,
      194
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/581/",
     "quote": "The question is not whether AI systems will teach the next generation what words mean, how concepts connect, and what frameworks are available for understanding the world. They will.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-68.G2",
   "tier": "standing claim",
   "shapes": [
    "G"
   ],
   "registered": "2026-04-20",
   "registered_in": 68,
   "registered_title": "THE SECRET NAME — Architectural Specification: The Armature Type and the Pearl",
   "record": "https://www.alexanarch.org/s/records/68/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-68.G2",
   "statement": "Without continuous deposition, the pearl loses density and becomes easier for ambient retrieval to flatten. The Armature does not guarantee permanence. It guarantees the *possibility* of permanence — for those willing to pay the bearing cost.",
   "falsifier": null,
   "window": null,
   "statements": [
    {
     "find": "F68.G2",
     "deposit": 68,
     "date": "2026-04-20",
     "lines": [
      204,
      204
     ],
     "shape": "G",
     "record": "https://www.alexanarch.org/s/records/68/",
     "quote": "Without continuous deposition, the pearl loses density and becomes easier for ambient retrieval to flatten. The Armature does not guarantee permanence. It guarantees the *possibility* of permanence — for those willing to pay the bearing cost.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [
    "Armature and Pearl: bearing cost of survival"
   ],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-107.B1",
   "tier": "forecast",
   "shapes": [
    "B"
   ],
   "registered": "2026-05-17",
   "registered_in": 107,
   "registered_title": "Audited Claims for the Semantic Deviation Research Program — The Glas Function: An External-Format Restatement",
   "record": "https://www.alexanarch.org/s/records/107/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-107.B1",
   "statement": "The instant $\\mathcal{M}_T$ becomes a target for which any system is rewarded — by reputation, funding, attention, training-loss reduction — that system will optimize for synthetic semantic deformation.",
   "falsifier": null,
   "window": null,
   "statements": [
    {
     "find": "F107.B1",
     "deposit": 107,
     "date": "2026-05-17",
     "lines": [
      198,
      198
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/107/",
     "quote": "The instant $\\mathcal{M}_T$ becomes a target for which any system is rewarded — by reputation, funding, attention, training-loss reduction — that system will optimize for synthetic semantic deformation.",
     "falsifier": null
    },
    {
     "find": "F107.B2",
     "deposit": 107,
     "date": "2026-05-17",
     "lines": [
      198,
      198
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/107/",
     "quote": "The instant $\\mathcal{M}_T$ becomes a target for which any system is rewarded — by reputation, funding, attention, training-loss reduction — that system will optimize for synthetic semantic deformation.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [
    "PRED-107.F9"
   ],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-107.F9",
   "tier": "unbuilt test",
   "shapes": [
    "F"
   ],
   "registered": "2026-05-17",
   "registered_in": 107,
   "registered_title": "Audited Claims for the Semantic Deviation Research Program — The Glas Function: An External-Format Restatement",
   "record": "https://www.alexanarch.org/s/records/107/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-107.F9",
   "statement": "**Entropy-floor capping.** $\\mathcal{M}_T^{\\text{net}}$ contribution at each token can be capped by a per-token entropy floor: deviations occurring at positions where the base distribution is itself very low-entropy (highly committed) count differently from deviations at high-entropy (open) positions.",
   "falsifier": null,
   "window": null,
   "statements": [
    {
     "find": "F107.F9",
     "deposit": 107,
     "date": "2026-05-17",
     "lines": [
      210,
      210
     ],
     "shape": "F",
     "record": "https://www.alexanarch.org/s/records/107/",
     "quote": "**Entropy-floor capping.** $\\mathcal{M}_T^{\\text{net}}$ contribution at each token can be capped by a per-token entropy floor: deviations occurring at positions where the base distribution is itself very low-entropy (highly committed) count differently from deviations at high-entropy (open) positions.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [
    "PRED-107.B1",
    "PRED-107.F4"
   ],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-109.B1",
   "tier": "forecast",
   "shapes": [
    "B"
   ],
   "registered": "2026-05-17",
   "registered_in": 109,
   "registered_title": "The Semantic Deviation Principle (v0.2 Final): A Measurement Primitive for Semantic Physics",
   "record": "https://www.alexanarch.org/s/records/109/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-109.B1",
   "statement": "The first real number for $\\mathcal{M}_T^{\\text{retrieval}}$ is months, not years, away.",
   "falsifier": null,
   "window": "months, not years, away",
   "statements": [
    {
     "find": "F109.B1",
     "deposit": 109,
     "date": "2026-05-17",
     "lines": [
      362,
      362
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/109/",
     "quote": "The first real number for $\\mathcal{M}_T^{\\text{retrieval}}$ is months, not years, away.",
     "falsifier": null
    },
    {
     "find": "F1373.B1",
     "deposit": 1373,
     "date": "2026-05-17",
     "lines": [
      348,
      348
     ],
     "shape": "B",
     "record": "https://www.alexanarch.org/s/records/1373/",
     "quote": "This protocol is buildable now. The April 17 SPXI test on Google AI Mode is the prototype. The Crimson Hexagonal Archive has 666 deposits available for measurement. The first real number for $\\mathcal{M}_T^{\\text{retrieval}}$ is months, not years, away.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [
    "PRED-736.A1"
   ],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-109.G1",
   "tier": "standing claim",
   "shapes": [
    "G"
   ],
   "registered": "2026-05-17",
   "registered_in": 109,
   "registered_title": "The Semantic Deviation Principle (v0.2 Final): A Measurement Primitive for Semantic Physics",
   "record": "https://www.alexanarch.org/s/records/109/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-109.G1",
   "statement": "A canonical work is one whose **mean long-horizon divergence** remains high across multiple fields:\n\n\n$$\\text{Canon}(s) \\iff \\liminf_{T \\to \\infty} \\overline{\\mathcal{M}}_T(s \\mid C_i) > \\kappa \\quad \\text{for } i = 1, 2, \\ldots, n \\geq 3$$\n\n\nwhere $\\overline{\\mathcal{M}}_T = \\mathcal{M}_T / T$ is the time-averaged semantic magnitude, $C_i$ are distinct fields (lyric, philosophy, mathematics, theology), and $\\kappa$ is a context-dependent threshold.",
   "falsifier": null,
   "window": null,
   "statements": [
    {
     "find": "F109.G1",
     "deposit": 109,
     "date": "2026-05-17",
     "lines": [
      403,
      409
     ],
     "shape": "G",
     "record": "https://www.alexanarch.org/s/records/109/",
     "quote": "A canonical work is one whose **mean long-horizon divergence** remains high across multiple fields:\n\n\n$$\\text{Canon}(s) \\iff \\liminf_{T \\to \\infty} \\overline{\\mathcal{M}}_T(s \\mid C_i) > \\kappa \\quad \\text{for } i = 1, 2, \\ldots, n \\geq 3$$\n\n\nwhere $\\overline{\\mathcal{M}}_T = \\mathcal{M}_T / T$ is the time-averaged semantic magnitude, $C_i$ are distinct fields (lyric, philosophy, mathematics, theology), and $\\kappa$ is a context-dependent threshold.",
     "falsifier": null
    },
    {
     "find": "F1373.G1",
     "deposit": 1373,
     "date": "2026-05-17",
     "lines": [
      380,
      384
     ],
     "shape": "G",
     "record": "https://www.alexanarch.org/s/records/1373/",
     "quote": "A canonical work is one whose **mean long-horizon divergence** remains high across multiple fields:\n\n$$\\text{Canon}(s) \\iff \\liminf_{T \\to \\infty} \\overline{\\mathcal{M}}_T(s \\mid C_i) > \\kappa \\quad \\text{for } i = 1, 2, \\ldots, n \\geq 3$$\n\nwhere $\\overline{\\mathcal{M}}_T = \\mathcal{M}_T / T$ is the time-averaged semantic magnitude, $C_i$ are distinct fields (lyric, philosophy, mathematics, theology), and $\\kappa$ is a context-dependent threshold.",
     "falsifier": null
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-736.A1",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 736,
   "registered_title": "Measuring Meaning in Retrieval Basins: A 90-Day Winding-Number Protocol from Lagrange Observatory! (EA-SEI-MM-02 v2.0, Framework 15 Paper 03)",
   "record": "https://www.alexanarch.org/s/records/736/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-736.A1",
   "statement": "P1 — Content effect. Mean $\\mathcal{M}_T^{\\text{retrieval}}(S)$ across Class R surfaces exceeds mean $\\mathcal{M}_T^{\\text{retrieval}}(S^{**})$ on $Q_A$ queries, with Cohen's $d \\geq 0.4$ and 95% confidence interval excluding zero. *This is the load-bearing prediction.*",
   "falsifier": "F1 (P1 fails): $S$ does not produce greater Class R basin deformation than $S^{**}$. Interpretation: content quality (controlled for identity scaffolding) does not drive measurable deformation in the surveyed surfaces. The principle's retrieval-basin claim would require revision; alternative explanations (provisioning architecture, algorithmic suspicion) would need to be tested separately.",
   "window": "$t_3$ = 84 days after 17 May 2026 deposit",
   "statements": [
    {
     "find": "F736.A1",
     "deposit": 736,
     "date": "2026-05-17",
     "lines": [
      137,
      137
     ],
     "shape": "A",
     "record": "https://www.alexanarch.org/s/records/736/",
     "quote": "P1 — Content effect. Mean $\\mathcal{M}_T^{\\text{retrieval}}(S)$ across Class R surfaces exceeds mean $\\mathcal{M}_T^{\\text{retrieval}}(S^{**})$ on $Q_A$ queries, with Cohen's $d \\geq 0.4$ and 95% confidence interval excluding zero. *This is the load-bearing prediction.*",
     "falsifier": "F1 (P1 fails): $S$ does not produce greater Class R basin deformation than $S^{**}$. Interpretation: content quality (controlled for identity scaffolding) does not drive measurable deformation in the surveyed surfaces. The principle's retrieval-basin claim would require revision; alternative explanations (provisioning architecture, algorithmic suspicion) would need to be tested separately."
    }
   ],
   "states": [],
   "evidence": [],
   "series": [
    "90-day winding-number protocol predictions P1–P3"
   ],
   "related": [
    "PRED-109.B1"
   ],
   "contains": [],
   "in": [],
   "register_aliases": [
    "I:047"
   ],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-736.A2",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 736,
   "registered_title": "Measuring Meaning in Retrieval Basins: A 90-Day Winding-Number Protocol from Lagrange Observatory! (EA-SEI-MM-02 v2.0, Framework 15 Paper 03)",
   "record": "https://www.alexanarch.org/s/records/736/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-736.A2",
   "statement": "P2 — Structural selectivity. On Class R surfaces, $\\mathcal{M}_T^{\\text{retrieval}}(S)$ shows a monotone ordering: $Q_A > Q_B > Q_C$. Specifically, $D_q$ on $Q_C$ queries is statistically indistinguishable from sampling noise (two-sided $p > 0.05$ against a null of zero deformation).",
   "falsifier": "F2 (P2 fails): $Q_C$ shows deformation comparable to $Q_A$. Interpretation: the intervention produces *spurious global drift* — confound present, internal validity of the design fails. The protocol is paused, the confound investigated.",
   "window": "$t_3$ = 84 days after 17 May 2026 deposit",
   "statements": [
    {
     "find": "F736.A2",
     "deposit": 736,
     "date": "2026-05-17",
     "lines": [
      139,
      139
     ],
     "shape": "A",
     "record": "https://www.alexanarch.org/s/records/736/",
     "quote": "P2 — Structural selectivity. On Class R surfaces, $\\mathcal{M}_T^{\\text{retrieval}}(S)$ shows a monotone ordering: $Q_A > Q_B > Q_C$. Specifically, $D_q$ on $Q_C$ queries is statistically indistinguishable from sampling noise (two-sided $p > 0.05$ against a null of zero deformation).",
     "falsifier": "F2 (P2 fails): $Q_C$ shows deformation comparable to $Q_A$. Interpretation: the intervention produces *spurious global drift* — confound present, internal validity of the design fails. The protocol is paused, the confound investigated."
    }
   ],
   "states": [],
   "evidence": [],
   "series": [
    "90-day winding-number protocol predictions P1–P3"
   ],
   "related": [
    "PRED-737.A7"
   ],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-736.A3",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 736,
   "registered_title": "Measuring Meaning in Retrieval Basins: A 90-Day Winding-Number Protocol from Lagrange Observatory! (EA-SEI-MM-02 v2.0, Framework 15 Paper 03)",
   "record": "https://www.alexanarch.org/s/records/736/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-736.A3",
   "statement": "P3 — Provenance differential. $\\mathcal{M}_T^{\\pi}(S) > \\mathcal{M}_T^{\\pi}(S^{})$ by a wider margin than the raw $\\mathcal{M}_T$ comparison (because PER for $S^{}$ is expected to be higher: its content has weaker source-anchoring even at equal identity scaffolding).",
   "falsifier": "F3 (P3 fails): Provenance retention does not separate $S$ from $S^{**}$. Interpretation: PER as currently operationalized does not capture the relevant accountability difference, or the surveyed surfaces do not differentiate by provenance.",
   "window": "$t_3$ = 84 days after 17 May 2026 deposit",
   "statements": [
    {
     "find": "F736.A3",
     "deposit": 736,
     "date": "2026-05-17",
     "lines": [
      141,
      141
     ],
     "shape": "A",
     "record": "https://www.alexanarch.org/s/records/736/",
     "quote": "P3 — Provenance differential. $\\mathcal{M}_T^{\\pi}(S) > \\mathcal{M}_T^{\\pi}(S^{})$ by a wider margin than the raw $\\mathcal{M}_T$ comparison (because PER for $S^{}$ is expected to be higher: its content has weaker source-anchoring even at equal identity scaffolding).",
     "falsifier": "F3 (P3 fails): Provenance retention does not separate $S$ from $S^{**}$. Interpretation: PER as currently operationalized does not capture the relevant accountability difference, or the surveyed surfaces do not differentiate by provenance."
    }
   ],
   "states": [],
   "evidence": [],
   "series": [
    "90-day winding-number protocol predictions P1–P3"
   ],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-737.A4",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 737,
   "registered_title": "The AI System as Closed-System Test Bed: Operations from Lagrange Observatory! on the Inference-Time Forward Pass (EA-SEI-MM-AI-01 v2.0, Framework 15 Paper 02)",
   "record": "https://www.alexanarch.org/s/records/737/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-737.A4",
   "statement": "  * P1.1: Bin A > Bin B > Bin C in $\\mathcal{M}_T^{\\text{net}}$, with Cohen's $d \\geq 0.4$ between adjacent bins.",
   "falsifier": "  * If Bin A and Bin C have indistinguishable $\\mathcal{M}_T^{\\text{net}}$ distributions, P1.1 fails. The principle's claim about canonical vs. formulaic text would need substantial revision.",
   "window": "Day 0 that begins at deposit",
   "statements": [
    {
     "find": "F737.A4",
     "deposit": 737,
     "date": "2026-05-17",
     "lines": [
      222,
      222
     ],
     "shape": "A",
     "record": "https://www.alexanarch.org/s/records/737/",
     "quote": "  * P1.1: Bin A > Bin B > Bin C in $\\mathcal{M}_T^{\\text{net}}$, with Cohen's $d \\geq 0.4$ between adjacent bins.",
     "falsifier": "  * If Bin A and Bin C have indistinguishable $\\mathcal{M}_T^{\\text{net}}$ distributions, P1.1 fails. The principle's claim about canonical vs. formulaic text would need substantial revision."
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-737.A6",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 737,
   "registered_title": "The AI System as Closed-System Test Bed: Operations from Lagrange Observatory! on the Inference-Time Forward Pass (EA-SEI-MM-AI-01 v2.0, Framework 15 Paper 02)",
   "record": "https://www.alexanarch.org/s/records/737/",
   "page": "https://www.operativesemiotics.org/predictions/semantic-magnitude-winding-number-protocol#PRED-737.A6",
   "statement": "  * P1.3: $\\mathcal{M}_T^{\\text{abs}}$ does NOT show the same clean separation as $\\mathcal{M}_T^{\\text{net}}$. The signed quantity is the discriminating one; the absolute quantity is noisier (because high-energy noise and high-meaning text both score high on absolute deviation, but only the latter scores high on net deviation).",
   "falsifier": "  * If $\\mathcal{M}_T^{\\text{abs}}$ separates bins more cleanly than $\\mathcal{M}_T^{\\text{net}}$, P1.3 fails. The signed-deviation reformulation would be empirically weaker than the v0.1 absolute formulation, and the conceptual upgrade would be wrong.",
   "window": "Day 0 that begins at deposit",
   "statements": [
    {
     "find": "F737.A6",
     "deposit": 737,
     "date": "2026-05-17",
     "lines": [
      224,
      224
     ],
     "shape": "A",
     "record": "https://www.alexanarch.org/s/records/737/",
     "quote": "  * P1.3: $\\mathcal{M}_T^{\\text{abs}}$ does NOT show the same clean separation as $\\mathcal{M}_T^{\\text{net}}$. The signed quantity is the discriminating one; the absolute quantity is noisier (because high-energy noise and high-meaning text both score high on absolute deviation, but only the latter scores high on net deviation).",
     "falsifier": "  * If $\\mathcal{M}_T^{\\text{abs}}$ separates bins more cleanly than $\\mathcal{M}_T^{\\text{net}}$, P1.3 fails. The signed-deviation reformulation would be empirically weaker than the v0.1 absolute formulation, and the conceptual upgrade would be wrong."
    }
   ],
   "states": [],
   "evidence": [],
   "series": [],
   "related": [],
   "contains": [],
   "in": [],
   "register_aliases": [],
   "flags": [],
   "merged": []
  },
  {
   "id": "PRED-737.A7",
   "tier": "forecast",
   "shapes": [
    "A"
   ],
   "registered": "2026-05-17",
   "registered_in": 737,
   "registered_title": "The AI System as Closed-System Test Bed: Operations from Lagrange Observatory! on the Inference-Time Forward Pass (EA-SEI-MM-AI-01 v2.0, Framework 15 Paper 02)",
   "record": "https://www.alexanarch.org/s/records/737/",
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}