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  • New Supplement 4 Published — Cosmological Closure and Hierarchy Derivation

    Supplement 4 DOI: 10.5281/zenodo.19510639Supplement 3 DOI: 10.5281/zenodo.19423573Supplement 2 DOI: 10.5281/zenodo.19376061Supplement 1 DOI: 10.5281/zenodo.19141923Main Mathematical Foundations paper DOI: 10.5281/zenodo.19080507 A major new step has now been completed in the development of Structured Space Theory (SST) and the Unified Pattern Framework (UPF). Mathematical Foundations of Structured Space Theory (SST) — Supplement 4 is now published. With this release, the framework extends its closure program into the cosmological and hierarchy sector. In practical terms, this means SST/UPF now presents a unified structural account reaching from the microscopic and gravitational domains into dark matter, dark energy, hierarchy depth, and the primordial closure picture. Major…

  • New Supplement 3 Published — A Major Mathematical Closure for SST and UPF

    Supplement 3 DOI: 10.5281/zenodo.19423573Supplement 2 DOI: 10.5281/zenodo.19376061Supplement 1 DOI: 10.5281/zenodo.19141923Main Mathematical Foundations paper DOI: 10.5281/zenodo.19080507 A major new step has now been completed in the development of Structured Space Theory (SST) and the Unified Pattern Framework (UPF). Mathematical Foundations of Structured Space Theory (SST) — Supplement 3 is now published. With this release, the remaining open problems defined in the original UPF program are closed at the present geometric level within the FCC/SpS worked realization. Just as importantly, the new supplement goes beyond closure alone: it adds major geometric extensions that strengthen SST as a cross-scale lattice framework and strongly…

  • New Supplement 2 Published — Mathematical Foundations of SST: General-Relativistic Recovery via Regge Calculus

    Supplement 2 DOI: 10.5281/zenodo.19376061Supplement 1 DOI: 10.5281/zenodo.19141923Main Mathematical Foundations paper DOI: 10.5281/zenodo.19080507 A new supplement to Mathematical Foundations of Structured Space Theory (SST) is now available on Zenodo. This work closes a key open problem in the framework: the absence of a dynamical gravitational field equation. By establishing a Regge-calculus realization of the SST lattice, the supplement provides the missing equation and shows that SST equilibrium corresponds to Regge stationarity. In the weak-field regime, the resulting equations reduce to the Poisson equation and are variationally equivalent to the linearized Einstein field equations. In the continuum limit, the Regge formulation converges…

  • New Paper Published — Unified Pattern Framework (UPF)

    DOI: 10.5281/zenodo.17900825 A new companion paper to Structured Space Theory (SST) is now available on Zenodo. Unified Pattern Framework (UPF) introduces a dynamical pattern-state ontology on a discrete graviton lattice, in which particles are treated as stable lattice configurations rather than fundamental point-like objects. In this framework, mass, radiation, charge, and nuclear structure are reinterpreted as emergent consequences of lattice geometry, phase organization, closure, and propagation. Rather than introducing new fundamental entities, UPF extends the minimal dynamical content already present in SST into a microscopic regime. The paper develops a unified extension of SST across particle, atomic, and radiative domains,…

  • New Supplement Published: A Major Extension of the Mathematical Foundations of Structured Space Theory

    Supplement 2 DOI: 10.5281/zenodo.19376061 Supplement 1 DOI: 10.5281/zenodo.19141923Supplement 2 DOI: 10.5281/zenodo.19376061Main Mathematical Foundations paper DOI: 10.5281/zenodo.19080507 A new supplement to the Mathematical Foundations of Structured Space Theory (SST) has now been published on Zenodo. This release marks the first substantial post-publication extension of the mathematical SST program. Its central advance is the proposal of a universal SST equation as a candidate underlying law for transport, reintegration, closure, and leakage across multiple physical regimes. In the supplement, weak-field behavior, atomic structure, localized pattern stability, and strong-field corrections are treated as regime-dependent limits or reductions of the same deeper lattice dynamics. A…

  • Structured Space Theory v3 just published!

    Version 3 DOI: 10.5281/zenodo.18787608 Structured Space Theory (SST), Version 3 presents a discrete geometric-gravitonic framework in which space is modeled as a lattice of G-particles and immutable G-holes, with dynamics expressed through graviton density (GD/gD), graviton frequency (GF/gF), and ripple-tension propagation. Title and terminology update. Versions 1–2 were published under Super-Space Theory. Version 3 adopts the title Structured Space Theory (SST) and revises several terms to reduce ambiguity with terminology already established in mainstream physics and mathematics. In particular, “Super-Space / Sub-Space” are replaced by Super-Structure / Sub-Structure. The macroscopic label “g-Force” is retired to avoid confusion with standard G-force…