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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20319654 |
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| author | Sanchez, Noelia Interval Studio, United Kingdom |
| author_facet | Sanchez, Noelia Interval Studio, United Kingdom |
| contents | <p>Continuity Science establishes a generalized operational science governing admissible continuation under irreversibility constraints across physical, informational, computational, biological, institutional, ecological, infrastructural, artificial intelligence, synchronization, governance, and civilizational systems.</p> <p>The work formalizes recoverability as the universal operational invariant governing whether systems remain admissible to continue before irreversible transition occurs under bounded real-world conditions.</p> <p>The publication introduces a generalized operational law architecture establishing that no system may admissibly execute, propagate, synchronize, coordinate, stabilize, restore, or continue where recoverability cannot be established in time under real operational conditions prior to irreversible propagation, collapse, fragmentation, or state-transition escalation.</p> <p>The framework unifies:</p> <ul> <li>thermodynamics</li> <li>information theory</li> <li>cybernetics</li> <li>control theory</li> <li>computability theory</li> <li>complexity science</li> <li>systems theory</li> <li>synchronization systems</li> <li>governance systems</li> <li>artificial intelligence systems</li> <li>infrastructure systems</li> <li>ecological systems</li> <li>biological systems</li> <li>institutional systems</li> <li>distributed coordination systems</li> <li>operational safety systems</li> <li>and civilizational continuity systems</li> </ul> <p>under a single recoverability-constrained operational architecture.</p> <p>The publication establishes:</p> <ul> <li>foundational axioms</li> <li>generalized operational laws</li> <li>recoverability theorems</li> <li>admissibility conditions</li> <li>propagation dynamics</li> <li>synchronization dynamics</li> <li>observability limits</li> <li>recoverability topology</li> <li>recoverability field structures</li> <li>dynamic recoverability equations</li> <li>stability conditions</li> <li>universality principles</li> <li>falsifiability structures</li> <li>predictive operational conditions</li> <li>experimental reproducibility structures</li> <li>operational measurement principles</li> <li>generalized containment principles</li> <li>continuity reserve dynamics</li> <li>cascade escalation structures</li> <li>dependency instability conditions</li> <li>epistemic saturation dynamics</li> <li>epistemic drift structures</li> <li>recoverability basin theory</li> <li>recoverability hysteresis</li> <li>informational continuity structures</li> <li>provenance continuity</li> <li>observer synchronization theory</li> <li>continuity-field dynamics</li> <li>and irreversibility boundary conditions</li> </ul> <p>for irreversible operational systems.</p> <p>The framework further establishes that:</p> <ul> <li>entropy</li> <li>informational degradation</li> <li>synchronization failure</li> <li>propagation instability</li> <li>infrastructure collapse</li> <li>institutional fragmentation</li> <li>ecological overshoot</li> <li>AI escalation</li> <li>dependency overload</li> <li>coordination instability</li> <li>epistemic divergence</li> <li>and civilizational instability</li> </ul> <p>constitute structurally equivalent manifestations of recoverability exhaustion across differently instantiated operational domains.</p> <p>The publication establishes that:</p> <ul> <li>continued operation is not equivalent to admissible continuation</li> <li>persistence is not equivalent to admissibility</li> <li>visible functionality is not equivalent to recoverability</li> <li>delayed collapse does not imply operational stability</li> <li>and operational persistence does not guarantee recoverable future-state continuity</li> </ul> <p>The framework further formalizes:</p> <ul> <li>bounded observability</li> <li>bounded synchronization</li> <li>bounded coordination</li> <li>bounded restoration</li> <li>bounded enforcement</li> <li>bounded computational evaluability</li> <li>bounded containment</li> <li>bounded epistemic processing capacity</li> <li>and bounded recoverability under irreversible conditions</li> </ul> <p>as universal constraints governing real-world operational systems.</p> <p>The work additionally establishes executable operational architectures for:</p> <ul> <li>runtime governance</li> <li>admissibility evaluation</li> <li>propagation containment</li> <li>recoverability-gated actuation</li> <li>synchronization monitoring</li> <li>continuity reserve analysis</li> <li>provenance continuity</li> <li>evidentiary continuity</li> <li>escalation governance</li> <li>and boundary-triggered control systems</li> </ul> <p>across continuity-critical domains.</p> <p>The framework predicts and operationalizes measurable precursor conditions preceding non-admissible transition, including:</p> <ul> <li>synchronization degradation</li> <li>recoverability reserve exhaustion</li> <li>propagation acceleration</li> <li>observability degradation</li> <li>epistemic drift</li> <li>coordination instability</li> <li>dependency saturation</li> <li>containment failure</li> <li>reconstruction delay escalation</li> <li>provenance fragmentation</li> <li>continuity-field distortion</li> <li>and cascading continuity fragmentation</li> </ul> <p>The framework further establishes that irreversible operational collapse emerges where recoverability consumption exceeds recoverability restoration capacity.</p> <p>Canonical compression:</p> <p>recoverability_consumption_rate ><br>recoverability_restoration_rate</p> <p>then:</p> <p>irreversible_transition emerges</p> <p>The publication positions Continuity Science as a generalized operational boundary science governing admissible continuation across irreversible systems operating under bounded recoverability constraints.</p> <p>This publication serves as the canonical synthesis layer of the broader Recoverability-Constrained Systems (RCS) corpus and Scientific Systems Layer (SAI) series.</p> <p>ASCII-compatible theorem structures are used throughout for:</p> <ul> <li>long-term archival stability</li> <li>machine readability</li> <li>legal portability</li> <li>OCR preservation</li> <li>repository interoperability</li> <li>repository indexing compatibility</li> <li>and cross-platform reproducibility.</li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20319654 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Continuity Science — Unified Law of Admissible Continuation: A Canonical Academic Synthesis of Recoverability-Constrained Systems Sanchez, Noelia Interval Studio, United Kingdom <p>Continuity Science establishes a generalized operational science governing admissible continuation under irreversibility constraints across physical, informational, computational, biological, institutional, ecological, infrastructural, artificial intelligence, synchronization, governance, and civilizational systems.</p> <p>The work formalizes recoverability as the universal operational invariant governing whether systems remain admissible to continue before irreversible transition occurs under bounded real-world conditions.</p> <p>The publication introduces a generalized operational law architecture establishing that no system may admissibly execute, propagate, synchronize, coordinate, stabilize, restore, or continue where recoverability cannot be established in time under real operational conditions prior to irreversible propagation, collapse, fragmentation, or state-transition escalation.</p> <p>The framework unifies:</p> <ul> <li>thermodynamics</li> <li>information theory</li> <li>cybernetics</li> <li>control theory</li> <li>computability theory</li> <li>complexity science</li> <li>systems theory</li> <li>synchronization systems</li> <li>governance systems</li> <li>artificial intelligence systems</li> <li>infrastructure systems</li> <li>ecological systems</li> <li>biological systems</li> <li>institutional systems</li> <li>distributed coordination systems</li> <li>operational safety systems</li> <li>and civilizational continuity systems</li> </ul> <p>under a single recoverability-constrained operational architecture.</p> <p>The publication establishes:</p> <ul> <li>foundational axioms</li> <li>generalized operational laws</li> <li>recoverability theorems</li> <li>admissibility conditions</li> <li>propagation dynamics</li> <li>synchronization dynamics</li> <li>observability limits</li> <li>recoverability topology</li> <li>recoverability field structures</li> <li>dynamic recoverability equations</li> <li>stability conditions</li> <li>universality principles</li> <li>falsifiability structures</li> <li>predictive operational conditions</li> <li>experimental reproducibility structures</li> <li>operational measurement principles</li> <li>generalized containment principles</li> <li>continuity reserve dynamics</li> <li>cascade escalation structures</li> <li>dependency instability conditions</li> <li>epistemic saturation dynamics</li> <li>epistemic drift structures</li> <li>recoverability basin theory</li> <li>recoverability hysteresis</li> <li>informational continuity structures</li> <li>provenance continuity</li> <li>observer synchronization theory</li> <li>continuity-field dynamics</li> <li>and irreversibility boundary conditions</li> </ul> <p>for irreversible operational systems.</p> <p>The framework further establishes that:</p> <ul> <li>entropy</li> <li>informational degradation</li> <li>synchronization failure</li> <li>propagation instability</li> <li>infrastructure collapse</li> <li>institutional fragmentation</li> <li>ecological overshoot</li> <li>AI escalation</li> <li>dependency overload</li> <li>coordination instability</li> <li>epistemic divergence</li> <li>and civilizational instability</li> </ul> <p>constitute structurally equivalent manifestations of recoverability exhaustion across differently instantiated operational domains.</p> <p>The publication establishes that:</p> <ul> <li>continued operation is not equivalent to admissible continuation</li> <li>persistence is not equivalent to admissibility</li> <li>visible functionality is not equivalent to recoverability</li> <li>delayed collapse does not imply operational stability</li> <li>and operational persistence does not guarantee recoverable future-state continuity</li> </ul> <p>The framework further formalizes:</p> <ul> <li>bounded observability</li> <li>bounded synchronization</li> <li>bounded coordination</li> <li>bounded restoration</li> <li>bounded enforcement</li> <li>bounded computational evaluability</li> <li>bounded containment</li> <li>bounded epistemic processing capacity</li> <li>and bounded recoverability under irreversible conditions</li> </ul> <p>as universal constraints governing real-world operational systems.</p> <p>The work additionally establishes executable operational architectures for:</p> <ul> <li>runtime governance</li> <li>admissibility evaluation</li> <li>propagation containment</li> <li>recoverability-gated actuation</li> <li>synchronization monitoring</li> <li>continuity reserve analysis</li> <li>provenance continuity</li> <li>evidentiary continuity</li> <li>escalation governance</li> <li>and boundary-triggered control systems</li> </ul> <p>across continuity-critical domains.</p> <p>The framework predicts and operationalizes measurable precursor conditions preceding non-admissible transition, including:</p> <ul> <li>synchronization degradation</li> <li>recoverability reserve exhaustion</li> <li>propagation acceleration</li> <li>observability degradation</li> <li>epistemic drift</li> <li>coordination instability</li> <li>dependency saturation</li> <li>containment failure</li> <li>reconstruction delay escalation</li> <li>provenance fragmentation</li> <li>continuity-field distortion</li> <li>and cascading continuity fragmentation</li> </ul> <p>The framework further establishes that irreversible operational collapse emerges where recoverability consumption exceeds recoverability restoration capacity.</p> <p>Canonical compression:</p> <p>recoverability_consumption_rate ><br>recoverability_restoration_rate</p> <p>then:</p> <p>irreversible_transition emerges</p> <p>The publication positions Continuity Science as a generalized operational boundary science governing admissible continuation across irreversible systems operating under bounded recoverability constraints.</p> <p>This publication serves as the canonical synthesis layer of the broader Recoverability-Constrained Systems (RCS) corpus and Scientific Systems Layer (SAI) series.</p> <p>ASCII-compatible theorem structures are used throughout for:</p> <ul> <li>long-term archival stability</li> <li>machine readability</li> <li>legal portability</li> <li>OCR preservation</li> <li>repository interoperability</li> <li>repository indexing compatibility</li> <li>and cross-platform reproducibility.</li> </ul> |
| title | Continuity Science — Unified Law of Admissible Continuation: A Canonical Academic Synthesis of Recoverability-Constrained Systems |
| url | https://doi.org/10.5281/zenodo.20319654 |