Total-Case Binding and the Description-to-Reality Bridge
Abstract
A minimal bridge from description to reality is finally secured. Earlier papers in the FORCED sequence argue that nontrivial ontological description requires three irreducible structural roles: stable reference, differentiation, and closure across differentiated referents. These roles are expressed as Identity, Distinction, and Binding. However, the structure of a description cannot simply be transferred to reality by semantic mirroring. In particular, the grammatical unity of a conjunction does not establish direct interaction, shared physical law, or configurational integration among its real grounds. This paper develops an asymmetrical Description-to-Reality Bridge. Target fixation makes evaluation-relative Identity explicit. Satisfaction-changing variation in the target makes satisfaction-relevant Distinction explicit. Minimal reality-side Binding is derived separately from the inherited requirements of Total-State Unity and Case-Inherent Obtaining. Under those premises, differentiated obtaining conditions are held within one internally determined actual case rather than distributed across unrelated actuality statuses or unified solely through an external act of description. A Basis-Target Integration Lemma strengthens the result by showing that the satisfaction basis receiving total-case Binding can be chosen to contain the evaluation-anchor profile and to discriminate an admissible target variation that changes the actual satisfaction value. The resulting basis is therefore simultaneously anchor-bearing, target-discriminating, and total-case Bound. The paper concludes that a reference-fixed, determinately evaluable, target-relative reality-directed description requires an integrated minimal reality-side triad consisting of evaluation-relative Identity, satisfaction-relevant Distinction, and total-case Binding. This conclusion is conditional on the explicitly inherited FORCED premises and does not claim that triadic closure is sufficient for actuality. Stronger forms of Binding are developed only conditionally. World-mediated Binding requires a Global Realization structure. Nomological Binding requires a common world-level law structure. Interactional and configurational Binding require further premises and are not derived from the foundational theorem. The paper therefore closes the minimal description-to-reality gap without importing universal interaction, priority monism, global state-space architecture, or known physical law into the minimum result.
Fields of Study & Subjects
Philosophy and Theoretical Science
Formal Methods in Verification
Logic
Reasoning
and Knowledge
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 25 July 2026
- Document type
- Preprint