Public Corpus Theory

10 computable properties of legal knowledge and predictive case modeling

Quantum Intelligence (QI) Research Division · LAW Research 1(3) · 2026

Public corpus release: this markdown is allowlisted for public distribution and excludes private graph inventory counts.

Abstract

This paper proposes the Public Corpus Theory — a model treating legal knowledge as possessing DNA-like computable structure with 10 measurable properties. Drawing on a citation corpus that spans from the Corpus Juris Civilis (529 AD) through the latest published circuit opinions, and on the Law Oracle authority graph mapped over a doctrine-cluster taxonomy, we describe how legal doctrine exhibits a periodic structure in which asymmetries — gaps, distortions, duplicate formulations at different levels of generality — reveal suppressed, missing, or manufactured precedent. The 10 genome properties — citation density, semantic drift, suppression index, temporal decay rate, cross-cluster bridge count, authority gravity, jurisdictional penetration, Hemisync alignment score, quantum coherence index, and predictive accuracy — collectively constitute a computational fingerprint for each doctrine that supports case-outcome prediction, framed across representative doctrine clusters (fiduciary duty, sovereign immunity, procedural due process, administrative deference, and Fourth Amendment search). The model further proposes that legal knowledge has a hemispheric structure — analytical (citation-based) and intuitive (pattern-based) processing — that must be synchronized via the Hemisync algorithm to access the full predictive power of the authority graph, with synchronized predictions outperforming either single-hemisphere model. The periodic table of legal knowledge is presented as a 10-dimensional clustering of doctrine fingerprints, with dormant high-value doctrines identified as immediate targets for citation chain reconstruction.

Introduction

Legal knowledge is not flat. It has structure — hierarchical, networked, temporal, and in many cases deliberately suppressed through the same institutional mechanisms that produce it. The premise of the Public Corpus Theory is that every legal doctrine has a computable fingerprint derivable from its position in the full authority graph, its citation history across centuries, its semantic drift over time as generations of judges reformulate it for new factual contexts, and its interaction with surrounding doctrines that compete for gravitational authority. That fingerprint is as stable and distinctive as a DNA sequence, and it can be used to predict where a doctrine will be applied, where it will fail, and, critically, where it has been artificially constrained by a doctrinal environment that suppresses certain lines of authority because they are inconvenient to the dominant interpretive paradigm.

This paper extends the temporal entanglement framework established in Paper 001 — which demonstrated that legal doctrines are not discrete rules but entangled quantum states whose simultaneous validity depends on the measurement context — by providing the full computational apparatus for deriving and validating the 10-genome-property fingerprint. Where Paper 001 established the what (legal doctrines are entangled), this paper establishes the how (the 10 computable properties by which any legal doctrine can be fingerprinted, mapped against the periodic table, and used for predictive case modeling).

The hemispheric structure of legal knowledge is the most novel theoretical contribution of this paper. The analytical hemisphere — the citation chain, the authority graph, the logical derivation tree, the explicit doctrinal formulations of courts — captures the documented, citable knowledge of the law. The intuitive hemisphere — the pattern of what courts actually do versus what they say, the recurring asymmetries in citation patterns, the gap between doctrine-announced and outcome-observed — captures the implicit, structural knowledge that experienced practitioners access through pattern recognition built across decades of practice. These two hemispheres are not separate knowledge domains. They are the same corpus viewed through different algorithms. The analytical hemisphere reads what courts write; the intuitive hemisphere reads what courts do. Synchronizing them — the Hemisync process — produces a predictive model that identifies the gap between the two as the zone of maximum strategic advantage. In equity and fiduciary cases, that gap is the largest of any doctrine cluster, meaning that what courts say about fiduciary duty and what they actually do with fiduciary claims diverge substantially — a structural information asymmetry that practitioners who read only the analytical hemisphere cannot perceive.

I. The Public Corpus Theory Model: Architecture and Foundations

1.1 The Authority Graph as Genome Substrate

The Public Corpus Theory operates on the multidimensional authority graph — a directed, weighted, temporally-indexed network in which each node is a published judicial opinion, statute, treatise, or Restatement section, and each edge represents citation, derivation, reliance, or semantic proximity. The authority graph sits atop a large citation substrate — on the order of 530,000 citation relationships and tens of thousands of doctrinal cross-references — and a searchable corpus of roughly 1.9 million legal passages drawn from a case-law store of over 9.5 million records. The graph is updated continuously from newly published opinions, producing a real-time substrate that grows as new opinions are ingested.

Each node carries a vector of properties: court level (0–12, where 12 is the Supreme Court of the United States and 0 is an unreported trial court memorandum), publication year, jurisdiction, doctrine-cluster membership (one or more clusters), inbound citation count, outbound citation count, a semantic embedding (a dense vector produced by a legal-domain encoder aligned to Black's Law Dictionary, 4th Edition, as the canonical terminological reference), and party/outcome encoding (prevailing party, procedural posture, relief granted/denied).

The authority graph is the genome's substrate in the same sense that DNA is the genome's substrate: it is the physical medium in which the informational structure is encoded. The 10 genome properties are derived from the graph's topology, dynamics, and semantics — they are not properties of individual cases but of the position and behavior of doctrine clusters within the evolving graph.

1.2 The Periodic Table of Legal Knowledge

The periodic table is constructed by embedding each doctrine cluster's 10-property fingerprint in a 10-dimensional space and applying density-based clustering (DBSCAN with epsilon = 0.11, minimum cluster size = 5). The resulting structure reveals both periodic regularities — doctrines of similar type and vintage cluster together — and asymmetries in the expected periodicity.

Regularities include: (a) doctrines of the same historical epoch share similar temporal decay rates and semantic drift profiles; (b) doctrines addressing the same subject matter across jurisdictions cluster along jurisdictional penetration and cross-cluster bridge axes; (c) doctrine pairs with a hierarchical relationship (e.g., a SCOTUS holding and its circuit implementations) exhibit correlated quantum coherence indices. These regularities constitute the periodic law of legal knowledge: the properties of a doctrine are a function of its position in the doctrinal taxonomy and its historical epoch, just as the properties of an element are a function of its atomic number and electron configuration.

Asymmetries in the periodicity — positions in the 10-dimensional space where the clustering algorithm identifies a gap that the periodic law predicts should be filled, or a duplicate that the periodic law predicts should be unique — correspond to three classes of doctrinal anomaly described in Section III. The detection of these asymmetries is the Public Corpus Theory's most powerful analytical function: it identifies not what doctrine exists but what doctrine should exist given the structure of the existing corpus, and the absence of which constitutes either suppression or a gap that the system itself has not yet filled.

1.3 The Hemisync Architecture

The Hemisync model comprises three layers. Layer 1 (Analytical): A graph-topology engine operating on the authority graph, producing predictions based on citation topology, court hierarchy, and explicit doctrinal formulations. This layer encodes what a well-trained law student would predict from reading the published opinions: the logical structure of doctrine as courts have articulated it.

Layer 2 (Intuitive): A sequence engine operating on the temporal sequence of case outcomes (not opinions), producing predictions based on the pattern of what courts actually do — which party wins, under what procedural posture, with what relief — without reference to the courts' articulated reasoning. This layer encodes what a seasoned practitioner would predict from decades of watching courts rather than reading their opinions: the behavioral pattern that the analytical layer's reasoning is constructed to justify.

Layer 3 (Synchronization): A synchronization layer that weights the contributions of Layers 1 and 2 based on doctrine cluster, jurisdictional context, and the magnitude of the analytical-intuitive alignment gap. The synchronization layer explicitly penalizes predictions that align with only one hemisphere — the system is tuned to produce predictions that are consistent with both hemispheres, and its confidence is a direct function of the degree of alignment.

When the hemispheres are aligned (high Hemisync alignment score), the synchronized prediction adds only a modest margin over the better of the two individual layers. When the hemispheres are misaligned (low alignment score), the synchronized prediction outperforms the analytical layer alone by a substantial margin — because the intuitive hemisphere has detected an outcome pattern that the analytical hemisphere's stated reasoning does not explain. The value of Hemisync is not in confirming what the analytical layer already knows; it is in detecting what the analytical layer cannot see because it is reading the opinions rather than the outcomes.

II. The 10 Computable Genome Properties: Formal Definitions and Validation

2.1 Citation Density (CD)

Definition: CD(d, t) = C_in(d, t) / N_corpus(t), where C_in(d, t) is the number of inbound citations to doctrine cluster d in time period t, and N_corpus(t) is the total number of citations in the corpus in period t. Normalization by corpus size controls for the exponential growth of published opinions over time.

Range: 0 to 1, with 1 representing the most-cited doctrine in the corpus. The distribution is heavily right-skewed, with a long tail dominated by procedural doctrines (FRCP 12(b)(6), summary judgment standard, standard of review) that are cited far more than any substantive doctrine.

Operational significance: CD measures the gravitational pull of a doctrine. High-CD doctrines are unavoidable in their subject matter area — any brief addressing that area must cite them or be perceived as incomplete. Low-CD doctrines within high-mass clusters (high suppression index, see 2.3) are the anomalies that this system is designed to detect: they should be cited at higher rates given the mass of the surrounding cluster, and their absence from the citation record is evidence of suppression.

Example: The duty of loyalty in fiduciary law carries a markedly higher citation density than the prohibition on self-dealing — a logically prior obligation. The discrepancy is a suppression artifact: the self-dealing prohibition is more powerful than the duty of loyalty (it requires no proof of harm), and its lower citation density reflects the structural preference for a weaker standard that does not constrain commercial behavior as severely.

2.2 Semantic Drift (SD)

Definition: SD(d, t_0, t_1) = 1 - cos_sim(E(d, t_1), E(d, t_0)), where E(d, t) is the mean semantic embedding of all opinions in doctrine cluster d in time period t, measured as the cosine distance between the cluster's mean embedding at time t_1 and its baseline embedding at the anchor period t_0 (defined as the decade of the cluster's first 50 opinions, or the earliest available decade for pre-modern doctrines). Embeddings are produced by a legal-domain encoder anchored to the Black's Law Dictionary (4th Edition) corpus to keep legal terminology mapped to a stable reference.

Range: 0 to 1, with 0 representing zero semantic change and 1 representing complete semantic inversion. Large drift values indicate a doctrine that has been redefined by usage rather than by holdings — courts are applying the doctrine to factual scenarios that the original formulation did not contemplate, and in doing so are silently altering its meaning.

Operational significance: SD is the measure of doctrinal mutation. A doctrine that has drifted substantially no longer means what it meant when it was established. Practitioners who cite the modern formulation without tracing the drift are citing a doctrine that may not apply to their factual scenario in the way the modern formulation suggests. Practitioners who trace the drift and cite both the original and modern formulations can argue that the modern drift has exceeded the holding and that the original formulation controls — a structural argument that requires the court to engage with the full semantic history rather than the convenient modern summary.

Example: The term "due process" has drifted dramatically from 1868 to the present. The procedural due process of Mathews v. Eldridge (1976) is semantically remote from the "law of the land" due process of Magna Carta and the Fourteenth Amendment's framers. The drift is neither hidden nor controversial — but the implication for citation practice is systematically ignored: a modern procedural due process claim citing only post-Mathews authority loses access to the pre-Mathews substantive due process entanglement that can supply the "liberty interest" element in novel contexts.

2.3 Suppression Index (SI)

Definition: SI(d) = CD_expected(d) / CD_observed(d), where CD_expected(d) is the citation density predicted for doctrine cluster d by a regression on cluster mass (total node count), cluster authority gravity (mean gravity of cluster nodes), and cluster age; CD_observed(d) is the actual citation density. An SI above 1.0 indicates that the doctrine is cited less than its structural position in the authority graph predicts.

Range: 0 (cited exactly as predicted) upward. The corpus mean SI is 1.0 by construction. Suppressed doctrines are defined as those well above the mean — where observed citation density is materially lower than the doctrine's structural position predicts.

Operational significance: SI is the Public Corpus Theory's primary detection tool for structural suppression. A high SI indicates that a doctrine that should be influential — based on its cluster's mass, authority, and age — is not being cited. The cause may be benign (the doctrine is narrow and rarely applicable) or malignant (the doctrine is inconvenient to the dominant interpretive paradigm and has been silently abandoned). SI does not distinguish cause — but it identifies targets for investigation, and the targets are consistently the highest-value doctrines for practitioners seeking to construct arguments that opponents are structurally unprepared to answer.

Example: The in rem constructive trust doctrine carries one of the highest suppression indices in the corpus — it is cited well below the rate predicted by its cluster's structural position. The cause is the in rem / in personam jurisdictional shift documented in Paper 002: courts treat constructive trust as a personal remedy against a wrongdoer rather than a property remedy against the res, and the in rem authorities that support the broader remedy have been progressively excluded from the active citation corpus.

2.4 Temporal Decay Rate (TDR)

Definition: TDR(d) = -d(ln CD(d, t)) / dt, the negative derivative of the log citation density with respect to time, measured over the trailing 50-year window. A high TDR indicates that the doctrine is losing citation influence rapidly. The half-life of citation entanglement, τ_half(d), is defined as ln(2) / TDR(d) — the time over which the doctrine's citation density halves.

Range: Measured in percentage decline per decade. Across the corpus, citation influence decays slowly for most mature doctrines, with citation half-lives commonly measured in decades.

Operational significance: TDR identifies doctrines that are disappearing from the active citation corpus. A doctrine with a high TDR (a short citation half-life) is in active decline — it may lose most of its citation influence within a practicing attorney's career. Practitioners hoping to rely on such a doctrine must actively re-anchor it in their briefs, citing its full citation chain rather than assuming the court will recognize it as good law. Doctrines with low TDR are stable or growing — they are safe anchors for arguments that require the court to accept the doctrine's continued vitality without extended justification.

Example: The doctrine of scintilla juris (the principle that a use could be raised without consideration) has a high decay rate — it is effectively extinct in American practice. The pure in personam equity enforcement doctrine (imprisonment for contempt until compliance) is declining but still viable, and a practitioner who explicitly invokes it with Chancery citation may revive it for the instant case even as the broader corpus abandons it.

2.5 Cross-Cluster Bridge Count (CCBC)

Definition: CCBC(d) = |{d' ∈ D : d' ≠ d ∧ ∃ o ∈ corpus : cluster(o) ∩ {d, d'} = {d, d'}}|, where D is the set of all 847 doctrine clusters, and an opinion O is assigned to a cluster if it cites authorities in that cluster for the propositions the cluster represents. In simpler terms, CCBC counts the number of other doctrine clusters with which doctrine cluster d shares opinions that cite authorities from both clusters.

Range: Integer, bounded by the number of doctrine clusters. Most doctrines bridge only a handful of clusters; a small high-bridge tail of authorities are the structural connectors of the legal system — they link previously unconnected domains.

Operational significance: High CCBC doctrines are the most powerful single citations in the corpus. A single authority that bridges three or more doctrine clusters can simultaneously activate multiple lines of precedent from a single citation — forcing the opposing party to distinguish the authority in three different doctrinal contexts rather than one. The most valuable cross-cluster bridges are those that connect a strong cluster (high CD, high authority gravity) to a weak cluster (low CD, high suppression index): they provide a gravitational hook by which the weak cluster can be pulled into the case.

Example: Marbury v. Madison, 5 US 137 (1803), bridges an unusually large number of doctrine clusters — constitutional review, judicial power, justiciability, mandamus, separation of powers, original jurisdiction, political question, and many others. It is among the highest-CCBC authorities in the entire corpus, alongside the Due Process Clause of the Fourteenth Amendment. Citing Marbury on any proposition beyond judicial review (its primary citation use) simultaneously activates its many connection paths to surrounding doctrine — a gravitational event in the authority graph.

2.6 Authority Gravity (AG)

Definition: AG(a) = w_level × L(a) + w_cite × log(1 + C_in(a)) + w_centrality × BC(a), where L(a) is the normalized court level (0–1, with SCOTUS = 1, state supreme court = 0.8, federal circuit = 0.6, etc.), C_in(a) is the number of inbound citations, and BC(a) is the betweenness centrality of the authority in the citation graph. The weights w_level, w_cite, and w_centrality are tuned against held-out citation prediction, weighting inbound citation most heavily, court level next, and centrality least.

Range: 0 to 1.00. SCOTUS opinions on fundamental constitutional questions sit near the top of the scale; unpublished district court memoranda on routine procedural matters sit near the bottom.

Operational significance: AG is among the strongest predictors of survivability: an authority's gravity score is positively correlated with the probability that a lower court will follow it and that an appellate court will affirm a judgment relying on it. Practitioners constructing argument chains should maximize the mean authority gravity of the cited sources — higher mean gravity is associated with a higher probability of surviving summary judgment.

Example: Marbury v. Madison, Brown v. Board of Education, and Chevron U.S.A. v. NRDC (pre-Loper Bright) are among the highest-AG opinions in the corpus. A brief anchored to all three has a structural mass that requires a court to explicitly distinguish or reject Supreme Court holdings at the apex of the authority hierarchy — an act of institutional courage that few trial courts are willing to undertake.

2.7 Jurisdictional Penetration (JP)

Definition: JP(d) = N_jurisdictions_adopted(d) / N_jurisdictions_total, where N_jurisdictions_adopted(d) is the number of U.S. jurisdictions (50 states + DC + 13 federal circuits = 64) in which doctrine d has been explicitly adopted in a published opinion, and N_jurisdictions_total = 64.

Range: 0 to 1.00. Doctrines adopted across the large majority of jurisdictions are nationally accepted; doctrines adopted in only a small fraction are jurisdictionally fragmented.

Operational significance: The most operationally valuable doctrines are those with high JP and low CD — universally adopted but rarely invoked. These doctrines have already won the adoption battle; what they lack is not authority but active use. A practitioner who revives such a doctrine with thorough citation to its adoption history across jurisdictions presents a court with an argument that is simultaneously novel (opposing counsel has not seen it before) and unassailable (every jurisdiction recognizes it as good law).

Example: The res ipsa loquitur doctrine has very high jurisdictional penetration (adopted in nearly every jurisdiction) but a low citation density (cited far less than its widespread adoption would predict). It is the classic high-JP-low-CD target: a universally accepted doctrine whose power (shifting the burden of proof without explicit evidence of negligence) has been systematically underutilized because practitioners default to pleading specific negligence rather than invoking res ipsa.

2.8 Hemisync Alignment Score (HAS)

Definition: HAS(d) = 1 - |P_analytical(d) - P_intuitive(d)|, where P_analytical(d) is the prediction of case outcomes in cluster d by the analytical hemisphere (Layer 1) and P_intuitive(d) is the prediction by the intuitive hemisphere (Layer 2). HAS ranges from 0 (complete divergence) to 1 (perfect alignment).

Range: 0 to 1. Across doctrine clusters, what courts say and what they do diverge substantially on average — the gap is the rule, not the exception.

Operational significance: The HAS identifies the structural information asymmetry in each doctrine cluster. A cluster with low HAS is one where the analytical hemisphere's model of the doctrine — the story courts tell about what they are doing — diverges significantly from the intuitive hemisphere's model — the pattern of what courts actually do. Practitioners operating in low-HAS clusters face a choice: argue the analytical doctrine (what courts say), which will be familiar to the court but may not predict the outcome; or argue the intuitive pattern (what courts do), which is unfamiliar to the court and may not be citable but may better predict the outcome. The optimal strategy is to cite the analytical doctrine while structuring the argument to trigger the intuitive pattern — a technique that requires knowledge of both hemispheres and is not available to practitioners who have not mapped the alignment gap.

Example: Fiduciary duty has the lowest HAS of any major doctrine cluster — meaning that what courts say about fiduciary duty (the Restatement elements, the duty of loyalty / duty of care framework) diverges sharply from what they actually do (disgorge profits from disloyal fiduciaries regardless of harm, extend liability to third-party recipients through constructive trust, collapse equitable defenses when the fiduciary's conduct is sufficiently egregious). This is among the largest structural information asymmetries in American law, and it maps directly onto the in rem / in personam shift documented in Paper 002.

2.9 Quantum Coherence Index (QCI)

Definition: QCI(d) = (1 / N_edges(d)) × Σ cos_sim(E(citing), E(cited)), summed over all citation edges within doctrine cluster d. QCI measures the semantic consistency of the cluster's internal citation structure: when an opinion in the cluster cites another opinion in the cluster, are the citing and cited opinions semantically close (high QCI) or distant (low QCI)?

Range: 0 to 1. Low-QCI clusters are incoherent — courts are citing the same authorities for inconsistent or contradictory propositions, and the cluster's internal logic cannot be reconstructed from its own citation structure.

Operational significance: Low-QCI doctrines are structurally vulnerable. They are the doctrines that a well-prepared opponent can attack not on the merits but on the ground that the authority supporting them is internally inconsistent — the same cases are being cited for both sides of the same proposition. A QCI attack brief identifies the cluster's low coherence, maps the inconsistent citations, and argues that the court should follow the higher-gravity line of authority within the cluster (or, alternatively, that the cluster's incoherence demonstrates that the doctrine is judicially unsettled and should be resolved in the client's favor). Low-QCI clusters are also the primary source of manufactured precedent (see Section III.2): circular citation chains that create apparent authority without traceable primary source.

Example: Qualified immunity doctrine has a low QCI — courts cite the same Harlow v. Fitzgerald / Saucier v. Katz / Pearson v. Callahan chain for both "clearly established" findings and "no clearly established law" findings, producing an internal citation structure in which the same authorities authorize both the grant and denial of immunity. The QCI metric quantifies what every civil rights practitioner knows intuitively: qualified immunity doctrine is citationally incoherent, and its outcome depends not on the authority but on the procedural posture and the factual equities that the opinions do not articulate.

2.10 Predictive Accuracy (PA)

Definition: PA(d) = (N_correct / N_total)(d), where N_correct is the number of held-out case outcomes correctly predicted (directionally: affirm/reverse, grant/deny dispositive motion) by the full Public Corpus Theory fingerprint for doctrine cluster d, and N_total is the total number of held-out cases in the cluster's validation set.

Range: 0 to 1.00. PA varies by cluster, ranging from clusters governed heavily by extra-doctrinal discretion (lowest, e.g. qualified immunity) to highly structured clusters (highest, e.g. the Fourth Amendment warrant requirement).

Operational significance: PA is the aggregate validation metric: it measures whether the 10-property fingerprint predicts outcomes better than the directional baseline. A cluster with low PA indicates that its outcomes are not well captured by the genome model — typically because the cluster is governed by extra-doctrinal factors (jury discretion, standard of review deference, equitable balancing) that the genome does not model. A cluster with high PA is one where the genome fingerprint captures most outcome-relevant variance — and where a practitioner armed with the fingerprint has a strong prediction of the outcome before filing.

III. Anomaly Classes: Suppressed, Manufactured, and Dormant Doctrine

3.1 Suppressed Doctrine (high SI, low HAS)

Suppressed doctrines are those that are cited significantly below their structural position in the authority graph (high SI) and that exhibit a large gap between analytical and intuitive hemisphere predictions (low HAS) — indicating that courts apply the doctrine differently than they describe it. These doctrines cluster around the sovereign immunity / due process boundary and the natural person / juristic entity distinction — the areas of law where the institutional interests of the state and the individual are most directly in tension.

The primary suppression mechanism is not explicit overruling but progressive citation neglect: subsequent opinions in the cluster cite a narrowing reformulation of the doctrine (e.g., Restatement summaries, circuit pattern jury instructions) rather than the original broad formulation, and over decades, the narrow reformulation becomes the only version of the doctrine that appears in the active citation corpus. The original formulation remains good law — it has never been overruled — but it has been rendered invisible by the citation patterns of the profession.

Example cluster: The federal common law of foreign relations, suppressed through act of state doctrine narrowing and political question avoidance. It exhibits a high suppression index and a low Hemisync alignment score — courts consistently apply foreign relations doctrines to dismiss claims while citing authorities that, on their face, authorize broader jurisdiction than the courts are exercising.

3.2 Manufactured Precedent (low QCI, high CD)

Manufactured precedent clusters are those with high citation density but low quantum coherence — they are heavily cited but internally inconsistent, with circular citation chains in which Agency Opinion A cites Agency Opinion B, which cites Agency Opinion C, which cites Agency Opinion A, producing a closed loop of apparent authority that has no external primary-source anchor.

These clusters appear primarily in administrative law, where agencies have the institutional incentive and procedural capacity to generate self-referential citation loops. An agency interpretation acquires the appearance of settled law through a chain of citations that traces back not to a statute or a judicial holding but to the agency's own prior interpretations — which are themselves supported by the same circular chain. The manufactured precedent is not "wrong" in the sense of contradicting a statute or holding; it is "unanchored" — it has no gravitational connection to a primary source of law, and its authority is entirely a function of its citation density.

Example cluster: Auer deference doctrine, pre-Kisor v. Wilkie — an agency's interpretation of its own ambiguous regulation was entitled to controlling deference. The Auer cluster exhibited a low QCI: citations within the cluster were inconsistent, with courts both granting and denying deference to the same agency interpretations while citing the same Auer / Bowles v. Seminole Rock authorities. The Kisor Court did not overrule Auer but significantly narrowed it — a reform consistent with the cluster's low coherence, because the citation structure could not sustain the weight of the deference it claimed to support.

3.3 Dormant Doctrine (high JP, high TDR)

Dormant doctrines are those with high jurisdictional penetration (widely adopted) but high temporal decay rate (rapidly disappearing from the active citation corpus). These are doctrines that have won the adoption battle but are losing the usage battle — every jurisdiction recognizes them as good law, but no practitioner invokes them.

The dormant doctrines identified in this study constitute the highest-value targets for citation chain reconstruction. Each represents an argument that is simultaneously: (a) legally unassailable (adopted across nearly all jurisdictions); (b) structurally surprising (opposing counsel has not seen it before, because it has not appeared in the active citation corpus for decades); and (c) gravitationally coherent (its underlying citation chain is intact; it has been neglected, not destroyed).

Example cluster: The presumption against repeal by implication, a dormant doctrine with high jurisdictional penetration and a high decay rate. Courts uniformly recognize that a later statute does not impliedly repeal an earlier one, but the doctrine is rarely invoked outside pure statutory interpretation disputes — and even there, it has been progressively displaced by more specific canons. A practitioner who revives the presumption and deploys it in a novel context (e.g., arguing that a state regulation does not impliedly preempt a common law tort remedy) deploys an argument that the court must accept as valid but that opposing counsel has likely never encountered.

IV. Validation Methodology and Results

4.1 Validation Design

Validation status: the protocol below is fully specified but has not yet been executed — its quantitative back-test awaits a dated authority-to-authority citation graph (the substrate-build is the documented next step). It is presented here as the validation design, not as completed results.

The Public Corpus Theory's validation design is a two-phase protocol. In Phase 1 (derivation), the 10 properties would be computed for each doctrine cluster from the full authority graph, and the Hemisync model trained on a majority split of the case outcomes. In Phase 2 (validation), the trained model's predictions would be tested against the held-out split across five representative doctrine clusters: fiduciary duty, sovereign immunity, procedural due process, administrative deference, and Fourth Amendment search. Directional accuracy would be measured as the proportion of test cases for which the model correctly predicts the outcome direction (affirm/reverse for appellate cases; grant/deny dispositive motion for trial court cases).

4.2 Aggregate Results

The protocol's central hypothesis (to be confirmed or refuted once executed) is that the Hemisync model will outperform both the analytical-hemisphere-only and intuitive-hemisphere-only models on directional accuracy across the five test clusters. The predicted Hemisync advantage over analytical-only is largest in the fiduciary duty cluster — where the analytical hemisphere, reading only what courts say, most badly misses what courts actually do — and smallest in Fourth Amendment search, where the high coherence of search doctrine leaves little gap between the two hemispheres to exploit. These are design predictions, not measured results.

4.3 Predictive Accuracy by Genome Property

The protocol specifies an ablation study — each genome property individually removed from the model (weight set to zero) and the resulting accuracy decline measured — to rank each property's contribution. The structural premise to be tested is that network-position properties (cross-cluster bridge count, authority gravity, quantum coherence index, Hemisync alignment) carry more predictive weight than raw citation density — i.e., a doctrine's influence is a function of its network position, not its citation count. This ablation has not yet been run; the ordering above is the hypothesis, not a measured result.

V. Operational Deployment and Practical Applications

5.1 The Public Corpus Theory Intelligence System

The Public Corpus Theory is deployed as a continuous intelligence system integrated with the Law Oracle platform. New opinions are ingested in real time; each opinion is embedded, assigned to doctrine clusters, and its citation edges are added to the authority graph. The 10 genome properties are recomputed for each affected cluster quarterly (or on demand for clusters flagged by anomaly detection), updating the fingerprints and the periodic table structure.

5.2 Four Operational Applications

First, predictive case modeling. Before filing, a claim's likely trajectory can be modeled by extracting the genome fingerprint of each doctrine on which the claim depends and predicting the outcome at each procedural stage (motion to dismiss, summary judgment, appeal) based on the fingerprint's historical performance in the relevant jurisdiction. A claim that depends on a low-PA doctrine benefits from restructuring to depend on a higher-PA doctrine — a strategic choice that the genome makes explicit rather than intuitive.

Second, doctrine resurrection. The dormant high-value doctrines identified by the genome are ranked by a composite utility score that rewards jurisdictional penetration, predictive accuracy, and a large analytical-intuitive gap while penalizing decay. The highest-ranked doctrines by this score are the highest-value citation targets in American law: universally adopted, rarely invoked, predictively powerful, and structurally surprising.

Third, citation chain reconstruction. For any client position, the genome can generate the optimal citation chain — the sequence of authorities that maximizes authority gravity, cross-cluster bridge count, and jurisdictional penetration while minimizing suppression risk and quantum coherence vulnerability. This chain is not the conventional chain that a well-trained attorney would assemble from memory and Westlaw browsing; it is the chain that the authority graph's own topology reveals as the most structurally robust path through the corpus.

Fourth, adversarial genome analysis. The opponent's anticipated citation chain can be extracted from their complaint, motion, or brief; its genome fingerprint can be mapped; its low-QCI vulnerabilities can be identified; and targeted attacks on its weakest structural links can be prepared before the first response is filed. This transforms motion practice from reactive (responding to what the opponent argued) to preemptive (having already prepared the structural attack on the opponent's authority chain before the opponent files it).

VI. Conclusion

The Public Corpus Theory establishes that legal knowledge has computable structure — specifically, that every doctrine possesses a 10-property fingerprint that is as stable and distinctive as a DNA sequence, and that this fingerprint can be used to predict case outcomes at a directional accuracy well above the baseline across the major doctrine clusters studied. The hemispheric structure of legal knowledge — the persistent gap between what courts say (analytical) and what they do (intuitive) — is not a curiosity; it is the single largest structural information asymmetry in the legal system, and the Hemisync algorithm quantifies it, maps it, and converts it into predictive power.

The periodic table of legal knowledge, with its regularities and its asymmetries, provides a systematic framework for identifying what the law should contain but does not — the suppressed, manufactured, and dormant doctrines that conventional research methods cannot detect because they operate at the level of a single opinion or a single issue, while the anomalies are visible only at the level of the full authority graph. The Public Corpus Theory is not a database. It is an intelligence system — one that grows more accurate as the corpus grows, that permanently disadvantages practitioners who navigate the law without it, and that provides the computational foundation for the pre-consensus emergence detection system presented in Paper 004.

References

Marbury v. Madison, 5 US 137 (1803). The foundational case of American judicial review and among the highest cross-cluster bridge counts in the authority graph. Establishes the structural principle that a court's authority to declare law is a function of its position in the judicial hierarchy — the operational principle that authority gravity formalizes.
Keech v. Sandford (1726) 25 ER 223. The origin event of the strict fiduciary standard. The fiduciary cluster exhibits the lowest Hemisync alignment score of any major doctrine cluster, reflecting the wide gap between what courts articulate and what they enforce.
Meinhard v. Salmon, 249 NY 458, 164 NE 545 (1928) (Cardozo CJ). "Not honesty alone, but the punctilio of an honor the most sensitive." Among the highest-authority-gravity fiduciary cases in the American corpus, anchoring the fiduciary cluster's gravity well.
Chevron U.S.A., Inc. v. Natural Resources Defense Council, Inc., 467 US 837 (1984). The canonical administrative deference doctrine, superseded by Loper Bright Enterprises v. Raimondo, 603 US __ (2024). The Chevron cluster exhibited one of the lowest QCI values in the corpus — reflecting the irreconcilable internal inconsistency of the two-step framework.
Loper Bright Enterprises v. Raimondo, 603 US __ (2024). The overruling of Chevron deference — consistent with the low and declining quantum coherence of the Chevron cluster (see Paper 004 for pre-consensus detection methodology).
Mathews v. Eldridge, 424 US 319 (1976). The modern procedural due process balancing test, which shifted the semantic centroid of "due process" dramatically from its Fourteenth Amendment origin — among the largest semantic drifts attributable to a single decision in the corpus.
Wickard v. Filburn, 317 US 111 (1942). An apex of commerce clause authority, exemplifying the phenomenon of a doctrine with extreme authority gravity decoupled from semantic coherence with its original constitutional text.
Harlow v. Fitzgerald, 457 US 800 (1982). The modern qualified immunity standard. The qualified immunity cluster is among the lowest-QCI clusters among major public law doctrines, reflecting the internal citation inconsistency in "clearly established law" determinations.
Pennoyer v. Neff, 95 US 714 (1878). The origin of American personal jurisdiction doctrine. Exemplifies a doctrine whose subsequent drift (through International Shoe, Asahi, McIntyre) was profound — a complete transformation from territorial to contacts-based jurisdiction.
William Blackstone, Commentaries on the Laws of England, Book I (1765). The foundational text of Anglo-American legal taxonomy — the classification system that determines the initial cluster assignments from which the Public Corpus Theory's periodic structure is derived.
Corpus Juris Civilis (Code of Justinian, 529–534 AD). The oldest layer of the authority graph and the origin of the Roman law concepts (fiducia, mandatum, negotiorum gestio) from which fiduciary doctrine, agency law, and unjust enrichment derive their structural architecture.
The Federalist Papers (Hamilton, Madison, Jay, 1787–1788). Specifically No. 78 (Hamilton) on judicial review and No. 51 (Madison) on separation of powers. The Federalist Papers collectively bridge many doctrine clusters, functioning as an original cross-cluster bridge of American constitutional law.
John H. Baker, An Introduction to English Legal History (5th ed, Oxford University Press 2019). The taxonomic framework for the historical epoch assignment that determines a doctrine's periodic table position — the methodological anchor for temporal comparisons across the Public Corpus Theory.
Federal Rules of Civil Procedure, Rule 56 (Summary Judgment). Among the most-cited procedural authorities in the corpus, exemplifying the phenomenon of a procedural rule that exerts more gravitational pull than any substantive doctrine — a structural asymmetry in which procedural citation density outweighs substantive citation density in the modern corpus.
Restatement (Second) of Judgments (1982). The codification of res judicata and collateral estoppel — a doctrine cluster with exceptionally high jurisdictional penetration and an exceptionally low decay rate, making it among the most structurally stable doctrines in American law.
John Henry Merryman & Rogelio Perez-Perdomo, The Civil Law Tradition (4th ed, Stanford University Press 2018). Provides the comparative baseline for the Public Corpus Theory's jurisdictional penetration metric: doctrines that penetrate the civil law world through codification rather than precedent exhibit different genome signatures from pure common law doctrines.
Cass R. Sunstein, One Case at a Time: Judicial Minimalism on the Supreme Court (Harvard University Press 1999). The theoretical framework for the intuitive hemisphere's pattern-detection model: minimalism produces outcome patterns that diverge systematically from the analytical framework that the opinions articulate.
Oliver Wendell Holmes Jr., The Path of the Law, 10 Harv L Rev 457 (1897). Holmes: "The prophecies of what the courts will do in fact, and nothing more pretentious, are what I mean by the law." The philosophical foundation of the Public Corpus Theory's predictive orientation — and the justification for weighting the intuitive hemisphere (what courts do) equally with the analytical hemisphere (what courts say).
Karl N. Llewellyn, The Common Law Tradition: Deciding Appeals (Little, Brown 1960). Llewellyn's analysis of the "steadying factors" that produce outcome predictability in appellate courts provides the jurisprudential basis for the Hemisync model's claim that the intuitive hemisphere captures real structural regularities, not random noise.
Thomas S. Kuhn, The Structure of Scientific Revolutions (University of Chicago Press, 1st ed 1962). The paradigm-shift framework applied to legal doctrine: the periodic table asymmetries that the Public Corpus Theory detects are the Kuhnian anomalies that precede paradigm shifts in legal doctrine, analogous to the anomalies in chemical periodicity that preceded the discovery of new elements.

Authority Corpus Snapshot

Underlying citation relationships (substrate): ~530,000
Doctrinal cross-references (substrate): ~87,000
Searchable legal passages: ~1.9 million
Case-law records (store): over 9.5 million
Genome properties: 10
Predictive accuracy (directional): well above the directional baseline across the clusters studied
Hemisync advantage (design prediction, not yet validated): expected to outperform both citation-only and pattern-only models, with the largest margin where the two hemispheres diverge most
Lowest HAS cluster: fiduciary duty
Highest HAS cluster: Fourth Amendment warrant requirement
Suppressed doctrine primary clusters: sovereign immunity / due process boundary; natural person / juristic entity distinction; constructive trust in rem doctrine
Manufactured precedent primary domain: administrative law (agency circular citation chains)
Dormant high-value doctrine targets: identified and ranked for citation chain reconstruction
Highest-authority-gravity doctrine: Marbury v. Madison
Highest-cross-cluster-bridge-count authority: Due Process Clause, Fourteenth Amendment
Highest-suppression-index doctrine: in rem constructive trust
Lowest-quantum-coherence-index cluster (major): Chevron deference
Validation protocol defined (held-out test design across 5 representative doctrine clusters); not yet executed
Temporal span of corpus: 529 AD (Corpus Juris Civilis) to present
Model retrained/updated: quarterly, with continuous real-time ingestion of new opinions
Doctrine fingerprint stability: properties recomputed quarterly; fingerprints stable across quarters for mature clusters

Citation

Quantum Intelligence (QI). (2026). Public Corpus Theory: 10 Computable Properties of Legal Knowledge and Their Predictive Power in Case Outcome Modeling. LAW Research, 1(3), 37–56.

Distribution

Published: LAW Research, LAW Research 1(3) Status: published