Theory of Parasitic Localities in the Framework of the Philosophy of Discrete Being
Description
This work develops a formal theory of Parasitic Localities within the hierarchical architecture of the Philosophy of Discrete Being (FDB). A system is modeled as a collection of localities that emit morphisms interpreted by higher-level structures through a metamodel MM+. We show that whenever verification relies solely on structural validity, there necessarily exist oblique channels—maps g that allow a locality to project normatively valid representations while maintaining functionally incompatible internal behavior.
The main theorem establishes the modal existence of such channels under broad architectural assumptions, while subsequent results characterize non-trivial, resource-bounded, phase-synchronous and cost-minimizing classes of g. We also provide impossibility results: under strict temporal–semantic coupling or global synchrony, parasitic localities become structurally impossible.
A refined semantic layer is introduced, distinguishing normative semantics (imposed by MM+) from functional semantics internal to a locality, thereby clarifying the precise mechanism by which coherence fails. Although initially inspired by conceptual reflections on regulatory breakdowns in multilevel biological systems, the results presented here are purely structural and philosophical, and do not constitute biological or medical claims.
The theory thus offers a domain-neutral explanation of structurally compliant yet semantically divergent behavior, providing a unified vocabulary for coherence loss across computational, institutional and other multi-level systems.
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- Is supplemented by
- Publication: 10.5281/zenodo.17599628 (DOI)