2026-10-11T03:34:20Z https://api.figshare.com/v2/oai

oai:figshare.com:article/34036659 2026-09-30T19:00:02Z category_30154 item_type_12 month_year_09_2026

The Universal Expansion Principle in Registration Theory: Relative Densification, Opposed Expansion, Metastable Particle Classes, and Host-Relative Physical Properties EUGENE CATRAMBONE (24756637) Classical physics not elsewhere classified Registration Theory Universal Expansion Principle Trinity registration order Scalar Clock coarse-graining relative densification persistent localization registration lineage retained history bilateral registration conjugate brokerage compact phase complex structure orientation synchronization resonance ;opposed expansion metastable particles mass charge spin field radiation emergent geometry quantum foundations This revised paper formulates the Universal Expansion Principle (UEP) as a foundational synthesis within Registration Theory (RT). It reconnects the 2024 expansion ontology, the later Scalar Clock and awareness-tensor programs, the Trinity framework, and the mature registration ontology while preserving the canonical distinction between registration order, measured time, and host-relative physical records. The revision explicitly situates UEP within the existing RT theorem portfolio rather than presenting localization, persistence, retention, bilateral consequence, conjugate brokerage, compact phase, and orientation structure as wholly future targets. It cites prior restricted or conditional derivations including Persistent Relational Localization (10.5281/zenodo.21984662), the Persistent Registration Lineage Theorem (10.5281/zenodo.21969529), Retained History as a Determinant of Boundary Action (10.5281/zenodo.22004411), Closed-Event Consequence Completeness (10.5281/zenodo.21909679), Six-Mode Host Consequence Structure (10.5281/zenodo.22001866), the Brokerage Generator Theorem (10.5281/zenodo.22118770), Bilateral Participatory Registration (10.5281/zenodo.22654282), Compact Registration Closure (10.6084/m9.figshare.33649111), the local complex-structure derivation (10.6084/m9.figshare.33823234), the orientation no-go theorem (10.6084/m9.figshare.33916978), and the Unoriented Phase Connection (10.6084/m9.figshare.33946051). Within a simple shell realization, fixed absolute registration intervals become asymptotically small relative to the generated scale. For shells emitted at finite intervals and propagating at common rate c_R, the relative spacing obeys Δr/r -> 0. For a co-expanding host with fixed fractional resolution, the expected number of shells per host-equivalent interval grows linearly with radius, while finite-variance fractional fluctuations fall as r^(-1/2). These are the new exact quantitative results of the UEP shell model. The revised theorem program now distinguishes three classes: newly completed UEP results; prior RT theorems that require a UEP-specific bridge; and genuinely open physical reconstructions. In particular, persistent localization and lineage are already theorem-bearing in restricted RT models, while the remaining task is to derive those regimes specifically from UEP expansion, opposition, recurrence, and closure. Likewise, RT already contains exact local complex, orientation, and compact-phase structures relevant to spin; the open problem is their physical identification with the spinorial double cover from UEP dynamics. Mass, charge, spin, field, radiation, and particle lifetime remain downstream physical reconstruction targets. Known particle interactions are treated as empirical constraints on this reconstruction rather than as phenomena to be replaced. 2026-09-30T19:00:02Z Text Preprint 10.6084/m9.figshare.34036659.v1 https://figshare.com/articles/preprint/The_Universal_Expansion_Principle_in_Registration_Theory_Relative_Densification_Opposed_Expansion_Metastable_Particle_Classes_and_Host-Relative_Physical_Properties/34036659 CC BY 4.0