FCD-1: Frame Constraints and the Limits of Totalization

Abstract This work introduces an operational framework (“frame constraints”) to analyze the limits of observation, control, and prediction in systems operating under finite informational and energetic resources. Rather than proposing a new physical theory or constant, the paper identifies a structural invariant: within any finite operational frame, complete observability, complete controllability, complete predictability across non-isomorphic scales, and finite resource usage cannot be simultaneously achieved. From this invariant, a weak but falsifiable theorem is derived, showing that attempts at global multi-scale stabilization or total unification necessarily induce loss of fine-scale accessibility, long-range correlations, or displacement of instability. The framework yields several effective (non-fundamental) laws describing recurring dynamical signatures under constraint, including scale-invariant temporal structure (1/f-like spectra), heavy-tailed fluctuations, regime transitions under saturation, and weak universality of form across non-isomorphic systems. The paper explicitly separates empirically testable consequences within operational frames from non-falsifiable or meta-level interpretations, which are marked as out of scope for operational science. This deposit establishes priority for the framework and its core invariant; no claim of new fundamental forces or ontological unification is made.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-09
DOI
https://doi.org/10.5281/zenodo.18199983
Primary Topic
Ecosystem dynamics and resilience
Type
article
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article

FCD-1: Frame Constraints and the Limits of Totalization

Geoffrey Marcellin
Zenodo (CERN European Organization for Nuclear Research)
Ecosystem dynamics and resilience
article

FCD-1: Frame Constraints and the Limits of Totalization

Geoffrey Marcellin
article en

Abstract

Abstract This work introduces an operational framework (“frame constraints”) to analyze the limits of observation, control, and prediction in systems operating under finite informational and energetic resources. Rather than proposing a new physical theory or constant, the paper identifies a structural invariant: within any finite operational frame, complete observability, complete controllability, complete predictability across non-isomorphic scales, and finite resource usage cannot be simultaneously achieved. From this invariant, a weak but falsifiable theorem is derived, showing that attempts at global multi-scale stabilization or total unification necessarily induce loss of fine-scale accessibility, long-range correlations, or displacement of instability. The framework yields several effective (non-fundamental) laws describing recurring dynamical signatures under constraint, including scale-invariant temporal structure (1/f-like spectra), heavy-tailed fluctuations, regime transitions under saturation, and weak universality of form across non-isomorphic systems. The paper explicitly separates empirically testable consequences within operational frames from non-falsifiable or meta-level interpretations, which are marked as out of scope for operational science. This deposit establishes priority for the framework and its core invariant; no claim of new fundamental forces or ontological unification is made.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 95%
Ecosystem dynamics and resilience
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