Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

V76: Operational Σ-Space Hook — Probing Dynamic-Space Structure through Orbit Prediction Residuals

Authors: Yoshida, Satoshi; ChatGPT, A.; Gemini, G.; Claude, C.;

V76: Operational Σ-Space Hook — Probing Dynamic-Space Structure through Orbit Prediction Residuals

Abstract

The V70–V75 sequence established a scale-crossing language in which forces act as active Σ-operators and gravity appears as accumulated geometric residue, with particle mass interpretable as Σ-maintenance cost tied to a dynamic-space cutoff κ. We now propose an operational stress-test: the near-Earth environment, where satellite constellations, debris fields, and dense tracking operations create conditions in which the usual assumption of a quasi-clean, time-stationary background may break down. We do not claim that electromagnetic traffic produces measurable gravitational fields. Rather, we propose three operationally testable diagnostics—Prediction Error Growth (PEG), Whitening Failure of Residuals (WFR), and Alert Saturation Index (ASI)—that can be evaluated using standard orbit determination products. PEG measures how swiftly predictive accuracy degrades; WFR detects persistent autocorrelation or 1/f structure where white noise is expected; ASI quantifies when alert volume begins to distort decision capacity. These diagnostics serve as operational proxies for the theoretical quantities κ_eff (effective resolution) and Σ_noise (accumulated residual structure). Any team with OD residuals, CDM logs, or maneuver records can compute these metrics and test regime dependence without adopting new dynamics. The hypothesis is falsifiable: absence of systematic correlations with environmental crowding implies the operational Σ-proxy interpretation adds no value. V76 thus provides a "second-cycle entry point" where "space as a clean background" becomes an empirical assumption to be tested rather than an axiom.

【How to Approach This Series】 This paper is constructed upon a dynamic cosmological perspective, featuring a multi-layered and internally consistent structure. Consequently, readers may find the content recursive or densely interconnected. To maximize understanding, we recommend the following approach: 1.Load multiple papers (3–5) from this series into an AI system (such as Claude or ChatGPT). 2.Request a summary and a structural analysis of the interconnected concepts. 3.Once you have grasped the holistic picture, proceed to read the specific sections of interest.This friction is not a flaw, but rather a natural characteristic of engaging with a theory that possesses a dynamically updating universe. [ Recommended Prompt for AI Analysis ] You can use the following prompt to analyze the series efficiently: "I have uploaded multiple papers from this series.Please analyze them as a unified theoretical framework,rather than as independent or static papers. 1.Identify the core 'dynamic structure' and explain how the concepts are internally consistent and recursive. 2.Synthesize the definitions of key terms that appear across the papers. 3.Provide a high-level summary of the overall cosmological view presented. 4.Outline the logical flow connecting these specific papers."

Related Organizations
Keywords

operational Σ-space, orbit determination residuals, prediction error growth, whitening failure, alert saturation, space traffic management, near-Earth environment, κ-effective, Σ-noise proxy, falsifiable framework, YAGC

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green