Effective Existence Across Scales: Operator-Invariant Admission, History Transport and Bidirectional Recovery Closure
- 1Independent Researcher, Melbourne, Australia
Abstract
When does a persistent relational organization become an effective dynamical degree of freedom at a higher scale? We formulate admission as a role-relative, non-compensatory test requiring predictive closure, intervention consistency, retained-history sufficiency, recovery preservation and, for propagation claims, causal-lineage continuity. The merged theorem layer adds four distinctions that passive prediction alone cannot establish: quotient closure does not guarantee realizable transition lifting; state sufficiency depends on the declared operator family; history transport must commute with cross-scale updates; and recovery equivalence requires bidirectional simulation together with safety and lineage preservation. These results are formal under their stated finite-state and task assumptions. The associated computational results remain simulation-level evidence, and the mapping from admitted relational structures to physical entities remains open. The framework therefore supplies a falsifiable admission and recovery gate without asserting that every admitted structure is a physical particle or a universal renormalization group.
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BibTeX
@misc{wang2026effective,
title = {{Effective Existence Across Scales: Operator-Invariant Admission, History Transport and Bidirectional Recovery Closure}},
author = {Yanghua Wang},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23471873},
url = {https://zenodo.org/records/23471873},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Effective Existence Across Scales: Operator-Invariant Admission, History Transport and Bidirectional Recovery Closure
AU - Yanghua Wang
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23471873
UR - https://zenodo.org/records/23471873
AB - When does a persistent relational organization become an effective dynamical degree of freedom at a higher scale? We formulate admission as a role-relative, non-compensatory test requiring predictive closure, intervention consistency, retained-history sufficiency, recovery preservation and, for propagation claims, causal-lineage continuity. The merged theorem layer adds four distinctions that passive prediction alone cannot establish: quotient closure does not guarantee realizable transition lifting; state sufficiency depends on the declared operator family; history transport must commute with cross-scale updates; and recovery equivalence requires bidirectional simulation together with safety and lineage preservation. These results are formal under their stated finite-state and task assumptions. The associated computational results remain simulation-level evidence, and the mapping from admitted relational structures to physical entities remains open. The framework therefore supplies a falsifiable admission and recovery gate without asserting that every admitted structure is a physical particle or a universal renormalization group.
ER -