Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Formáid: | Recurso digital |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Zenodo
2026
|
| Ábhair: | |
| Rochtain ar líne: | https://doi.org/10.5281/zenodo.19445778 |
| Clibeanna: |
Cuir clib leis
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
|
Clár na nÁbhar:
- <p>La Profilée (LP) establishes a structural law governing identity under real transformation. Its central question is unavoidable: under which conditions does a system undergoing real transformation remain the same system?</p> <p> LP does not describe how systems evolve. It determines whether evolution preserves identity.</p> <p> Central condition: A system persists as itself if and only if IR ≤ 1 and FCC holds. IR ≤ 1 determines whether the system continues to exist as a structured entity. FCC determines whether it remains this system.</p> <p> The empirical accessibility of the structural variables follows from the admissibility conditions of the persistence problem itself; proprietary diagnostic implementations are secondary realizations of this forced accessibility, not preconditions of it.</p> <p> The core derivation is self-contained with respect to all indispensable LP-specific claims required for the three laws. Standard mathematical structures are used in their conventional form. Selected extensions (Scale Invariance, Vertical IR Aggregation, Frame Collision Direction, Structural Time Invariance) are stated in compressed form; full derivations appear in the cited LP series papers. The paper establishes three structural laws from minimal conditions and specifies falsification conditions for each.</p> <p> The three laws: (I) IR = R/(F·M·K) ≤ 1 is the necessary and sufficient condition for the persistence of the system as a structured entity (IR ≤ 1); persistence as this system additionally requires FCC. (II) T_col < T_rec strictly — identity is time-directed. (III) F → M → K is the unique admissible recovery sequence. From these, four consequences follow: Collapse Latency, the Structural Depth Deficit, the Intervention Paradox, and Structural Irreversibility.</p> <div> <p><strong>Axiom 0 (Determinacy of Persistence Claims). </strong>A persistence claim is scientifically meaningful only if there exists a determinate structural boundary distinguishing identity-preserving from identity-destroying transformation. Without such a boundary, the statement ‘the same system’ has no truth condition and cannot be evaluated as true or false.</p> </div> <div> <p><strong>Lemma (Comparability Necessity of Persistence Boundaries). </strong><em>Any determinate persistence boundary separating identity-preserving from identity-destroying transformation must induce a comparable ordering between transformation pressure and integration capacity.</em></p> </div> <p><strong>Proof.</strong></p> <p>A persistence claim requires a determinate truth condition: whether a given transformation preserves identity or not. A determinate boundary must assign each admissible transformation to exactly one of two classes: identity-preserving or identity-destroying. If no comparable relation exists between transformation and capacity, then there exist transformations T₁, T₂ such that neither is structurally ordered with respect to the system’s capacity. In such a case, no consistent decision procedure exists to classify T₁ and T₂ without introducing external criteria. The persistence verdict becomes underdetermined. Therefore a persistence boundary must induce a comparison relation between transformation pressure and integration capacity. Any such comparison reduces to a scalar or scalar-equivalent ordering, since only scalar orderings provide total comparability required for binary classification. Hence the persistence boundary must take the form of a comparison R ≤ IK up to admissible representation. ✓</p> <p>□</p> <div> <p><strong>Theorem (Existence Boundary of Persistent Systems). </strong><em>Any system undergoing real transformation that is claimed to persist as the same system admits a determinate structural boundary separating identity-preserving from identity-destroying transformation. This boundary necessarily takes the form of a finite comparison between transformation pressure and directed integration capacity: R ≤ IK. If no such boundary exists, the persistence claim is structurally undefined and not scientifically meaningful.</em></p> </div> <p><strong>Proof.</strong></p> <p>A persistence claim asserts that the system undergoing transformation at t remains the same system at t’. For this claim to be scientifically meaningful, it must have a determinate truth condition. The truth condition requires a structural limit: some boundary at which transformation pressure either is or is not absorbable without identity loss. Without such a limit, ‘same system’ has no structural content and the persistence claim is undefined. By the Comparability Lemma, any admissible persistence boundary must induce a scalar or scalar-equivalent ordering between transformation pressure and integration capacity. The minimal such ordering is a binary comparison of the form R ≤ IK, where IK denotes directed integration capacity. Therefore the persistence boundary must take the form R ≤ IK up to admissible representation. This is not one admissible formalization within the persistence problem among others — it is the minimal form compatible with determinacy of persistence claims. ✓</p> <p>□</p>