What question did this study set out to answer?

The aim is to develop a unified discrete theoretical framework that connects spacetime, matter, and time dynamics.

February 2, 20260 citationsOpen Access

11 COS-FRMW - Collapsing-Structure Framework: A candidate unified discrete theoretical framework for spacetime, matter and the arrow of time

Key Points

The aim is to develop a unified discrete theoretical framework that connects spacetime, matter, and time dynamics.
Introduces a universal action operator to describe gravitational and material interactions.
Utilizes a shell–filament-based discrete ontology for framework development.
Outlines criteria for stability and classical continuum limits of theories.
Demonstrates how gauge fields and fermions can be integrated into the framework.
Provides a roadmap for empirical testing of cosmological phenomena including CMB and LSS.
Identifies fundamental microscopic parameters for further exploration.

Abstract

COS-FRMW (Collapsing Structures Framework) is part of the COS programme, which aims to develop a unified discrete theoretical framework in which spacetime geometry, material interactions, and an irreversible arrow of time emerge from shared ontological and dynamical principles. This module summarizes and integrates the main components of the programme: COS-S, COS-QF, COS-QHF, COS-QD COS-SM, COS-SUSY, COS-GUT COS-C, COS-NUM, COS-EXP COS-STAB, COS-CL, COS-EMT Starting from a shell–filament-based discrete ontology, COS-FRMW introduces a universal action operator ACOSA₂₎ₒACOS that provides a unified description of gravitational, material, and collapse processes. The collapse-based quantum dynamics naturally selects an arrow of time, while appropriate continuum limits are designed to recover effective boundary theories corresponding to classical general relativity and standard quantum field theory. To support computational and observational testability, COS-FRMW makes explicit: stability and verification criteria (COS-STAB), conditions for a controlled classical continuum limit (COS-CL), a unified energy–momentum/source formalism, including renormalized limits and compatibility maps (COS-EMT). Scope and content The manuscript: describes how gauge fields, fermions, and supersymmetric/GUT extensions can be embedded into the shell–filament structure; outlines the numerical and empirical programme towards cosmological applications (CMB, LSS, SGWB) and laboratory tests; includes a dedicated discussion of parameter counting and the classification of predictive content, addressing which microscopic parameters may be fundamental and which emergent constants (e. g. GGG, ΛΛ, Yukawa-matrix elements) could, in principle, be derived or constrained. Status COS-FRMW is not presented as a closed “theory of everything”. Rather, it is a coherent, background-independent, discrete candidate unified framework, providing a clear research roadmap for further mathematical development, numerical implementation, and empirical assessment.

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