What question did this study set out to answer?

This work aims to formalize the concept of continuity through geometric structures applied to various systems.

July 12, 20260 citationsOpen Access

Continuity Geometry: The Foundational Substrate of Decision Continuity Engineering Institutional Edition (Unified Manuscript)

Key Points

This work aims to formalize the concept of continuity through geometric structures applied to various systems.
Defines continuity geometry and its components such as identity substrates and invariants.
Explores the operation of geometric constructs across physical, computational, economic, and civilizational domains.
Establishes connections to broader constructs, referencing various papers in the continuum of Decision Continuity Engineering.
Introduces key constructs like loop-closure mechanisms as universal tools applicable across multiple domains.
Demonstrates how continuity is maintained as a geometric rather than linear progression.
Identifies the relevance of continuity in off-planet scenarios and species-level stability.

Abstract

Continuity Geometry is the foundational substrate of Decision Continuity Engineering (DCE). It formalizes continuity as a geometric structure rather than a linear progression, defining how identity, invariants, and sovereignty persist across transformations in physical, computational, economic, and civilizational systems. This paper establishes identity substrates, continuity fields, invariants, and loop‑closure mechanisms as universal geometric constructs that operate across domains, including off‑planet continuity and species‑level stability. Paper 7 serves as the substrate for Paper 9.1 (Monasterial Scale), Paper 10.11 (Cyber↔Fusion Corridor), Paper 10.x (Global Systems Continuity Geometry), and Paper 0.x (Public Continuity Field).

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