Prior Art
Prior-Art Boundary
DT/FDS does not claim priority over Landauer, rate-distortion, autopoiesis, Markov blankets, active inference, Bekenstein bounds, horizon thermodynamics, decoherence, transfer entropy, or topological phases.
The claimed contribution is the dependency architecture connecting them through finite boundary maintenance.
Similarity to prior work is not denied; it is part of the dependency map.
| Prior Tradition | Not Claimed | Claimed Contribution |
|---|---|---|
| Self-organization / complex systems | Priority over self-organization theory, complexity theory, cybernetics, dissipative structures, synergetics, autopoiesis, or chemical organization theory | FDS-N1 gives a finite-boundary, capacity-deficit, maintenance-load, exit-channel, and invariant-selection interpretation of self-organization under finite capacity |
| Distinction/indication (Spencer-Brown) | Priority over distinction as philosophical primitive | Distinction is used as the minimal entry point into finite boundary maintenance |
| Information as difference | Priority over info-theoretic difference | Finite distinctions become costly only when physically maintained by finite systems |
| Autopoiesis | Replacement of autopoiesis | FDS adds capacity deficit, rate-distortion demand, pruning/externalization, and failure propagation |
| Markov blankets | Identity with Markov blanket theory | FDS boundaries may be physical, operational, memory-level, API-level, or task-level |
| Free Energy Principle | Replacement of FEP or active inference | FDS begins from boundary maintenance under finite capacity; active inference can instantiate FDS-like dynamics |
| Rate-distortion theory | Invention of rate-distortion | Rate-distortion is used to define task-relevant capacity deficit |
| Landauer erasure | Invention of Landauer bound | Landauer is used as a physical bridge for logically irreversible updates |
| Minimal realization theory (Kalman) | Invention of controllability-observability duality, McMillan degree, or state-space realization theory | McMillan degree applied as additional closure degree obligation for persistent joint response in T4. |
| Balanced truncation (Moore, Glover) | Invention of Hankel singular values, balanced realization, or balanced truncation model reduction | Hankel singular values define finite-window operational promotion rank and certified reduction error bounds in T4. |
| Mori-Zwanzig / generalized Langevin equations | Derivation of memory-kernel formalism or orthogonal dynamics method | P8 residue channel framework organizes unresolved variables into excitation, evolution, and return maps; T4 adds preparation forcing and additional closure degree on top of the memory-kernel structure. |
| C0-semigroup theory / exponential decay estimates | Invention of C0-semigroups, resolvent bounds, or exponential stability theory | Exponential semigroup bounds control memory moments and define the stable-fast regime for startup-qualified temporal localization in T4. |
| Pareto optimization / multi-objective optimization | Invention of Pareto optimality, dominance, or frontier methods | Pareto frontier applied to closure selection with additional closure degree, law order, maintenance cost, and side-ledger access as explicit resource axes in T4. |
| Telegrapher's equation / Goldstein-Kac two-velocity models | Invention of two-velocity kinetic models or the telegrapher's equation as a diffusion approximation | T4 provides exact scale-tolerance threshold for selecting diffusion versus telegraph closure using additional closure degree. |
| Hidden Markov models / lumpability theory | Invention of HMMs or lumpability criteria for Markov chain coarse-graining | T3 uses lumpability-breaking as the canonical mechanism for projection-induced effective stochasticity from overflowing fine-grained distinctions. |
| Bekenstein/holographic bounds | Derivation of known bounds from scratch | Finite distinguishability budgets are interpreted as structural constraints on physical systems |
| Horizon thermodynamics | Replacement of GR or QFT | FDS registers bridge hypotheses relating horizons to finite distinguishability |
| Decoherence | Solution to the measurement problem | Decoherence treated as distinguishability leakage / record stabilization under finite systems |
| Topological phases / NHSE | Invention of non-Hermitian topology | DT proposes a bridge between topological persistence and resistance to forgetting |
| Transfer entropy / empowerment | Invention of causal influence metrics | FDS uses causal-loop closure as one component of agency, not as sufficient condition |
| Complex systems collapse | Priority over tipping points | FDS gives a boundary-maintenance and capacity-deficit interpretation of collapse |
| AI agent frameworks | Replacement of all agent theories | FDS isolates active boundary maintenance and resource-governed persistence as agency criteria |
| Prospect Theory (Kahneman, Tversky) | Replacement of Prospect Theory or expected utility theory | FDS-E1 treats loss aversion, reference dependence, and probability weighting as state-dependent finite-capacity parameters rather than fixed irrationality constants |
| Reversible computation (Bennett) | Refutation of reversible computation or of the Landauer bound | FDS-P2 studies the bounded-memory regime in which reversible embeddings accumulate garbage records that eventually incur housekeeping costs |
| Stochastic thermodynamics (Seifert, Parrondo) | Replacement of stochastic thermodynamics or information thermodynamics | FDS uses stochastic-thermodynamic cost terms as one layer in a broader finite-record accounting framework that includes carriers, accounting boundaries, side records, and refresh costs |
| AdS/CFT correspondence | Priority over or replacement of AdS/CFT, Maldacena duality, or holographic renormalization group. | AdS/CFT is treated as a sharp high-capacity model class within a broader finite-screen recovery architecture; its reconstruction formulas are read as finite boundary recovery maps in the zero-deficit limit. |
| Ryu-Takayanagi / HRT / FLM / generalized entropy | A new derivation of the area law, the FLM formula, or the quantum extremal surface prescription. | Generalized entropy is read as a high-capacity realization of finite screen-capacity accounting; the area term, bulk term, and quantum corrections are reclassified as ledger components. |
| Holographic quantum error correction | A new QEC code, a correction to the Dong-Harlow-Wall theorem, or a new bulk reconstruction proof. | Holographic QEC recovery logic — code subspace, operator reconstruction, erasure tolerance — is imported as an operational instance of finite boundary distinction recovery. |
| Bekenstein-Hawking / covariant entropy bound | A new derivation of the Bekenstein-Hawking coefficient or a new microscopic state-counting formula. | The Bousso covariant entropy bound and the holographic principle provide the general background that boundary area limits physical degrees of freedom; H1 translates this into finite screen-capacity language without deriving the proportionality constant. |
| Finite causal diamonds / edge modes | A new finite-diamond phase-space quantization or a new soft-gravity theorem. | Finite causal-diamond phase-space relations (Ciambelli-He-Zurek 2026) and causal-diamond thermodynamics (Fransen-He-Zurek 2025) are used as external motivation for treating finite causal-screen variables as legitimate holographic data carriers; H1 does not import these results as proofs of the G1/M3/4 gravity channel. |
| Quantum reconstruction programs (Hardy, Chiribella-D'Ariano-Perinotti, Masanes-Muller, GPTs) | A completed reconstruction of Hilbert space, the Born rule, or tensor-product composition. | Q0 is compatible with these reconstructions as second-stage theorems but does not assume symmetric distinguishability as primitive; it asks how a symmetric kernel becomes available from asymmetric finite boundary access. |
| Decoherence theory / quantum Darwinism (Zurek, Touil-Yan-Zurek) | A new decoherence model or a derivation of classicality. | Q0 refines the operational criterion: irreversibility tracks stable boundary-accessible record structure, not entanglement alone. Quantum Darwinism provides external support for the record-holonomy operational branch. |
| Quantum error correction / leakage reduction (Nielsen-Chuang, Preskill, Camps et al.) | A new QEC threshold theorem or a new leakage-reduction protocol. | Q0 packages computational-subspace leakage as directed leakage holonomy into uncorrectable boundary sectors; standard QEC leakage-reduction literature provides external motivation for the directed-leakage diagnostic. |
| Non-Abelian Cech--de Rham descent / bundle gerbes (Murray, Wockel, Jurco, Nikolaus--Waldorf) | A new descent theorem or a new lifting-gerbe construction. | H2 specializes the descent hierarchy to registered recovery atlases with task-defined gauge quotient, distinguishing raw descent, quotient descent, and strict liftability. |
| Kato projected-connection theory / Berry--Wilczek--Zee adiabatic transport | A new Kato theorem or a new adiabatic transport formula. | H2 applies the standard Kato construction to a registered recoverable-support projector inside a registered ambient Hermitian bundle; the connection is canonical only relative to those registered choices. |
| Holonomy-intertwiner principle (Kobayashi--Nomizu, Ambrose--Singer) | A new holonomy theorem. | H2 specializes the standard parallel-homomorphism principle to independently registered finite-recovery and response bundles, with branch-specific finite-sample validation and held-out loop discipline. |