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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18131366 |
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| author | Hamed Hajizadeh |
| author_facet | Hamed Hajizadeh |
| contents | <p>This document provides operational, quantitative criteria for core observational concepts used throughout Return Theory (RT), including bounded variability, phase coherence, and narrative stability. It introduces no new physical dynamics, fields, or evolution laws; its purpose is strictly methodological: to make observer-based notions explicitly testable under real data accumulation.</p> <p> </p> <p>The criteria defined here are intended to serve as a reference layer that connects three RT observation-facing components. First, it is aligned with Return Theory — Projection, A Geometric Framework for Observation, Stability, and Limits (DOI: 10.5281/zenodo.18111105), which formalizes observation as a constrained geometric projection and introduces narrative stability as an operational criterion for observational coherence.<span> </span></p> <p> </p> <p>Second, it is consistent with Return Theory — Degrees of Freedom, Gauge-like Structure of Amplitude, Frequency, and Phase in Observational Projection (DOI: 10.5281/zenodo.18118300), where amplitude, frequency, and phase are treated as representational (gauge-like) freedoms rather than physical variables; this document accordingly formulates coherence and phase-based criteria in terms of observable, gauge-invariant relationships.<span> </span></p> <p> </p> <p>Third, it interfaces with Return Theory - Instrumentation (DOI: 10.5281/zenodo.18077603), which frames instruments as embedded within an observer-defined projection structure and articulates structural limits on instrumentality; this document translates those qualitative limits into quantitative acceptance/rejection conditions under rank expansion and data growth.<span> </span></p> <p> </p> <p>Finally, the present criteria are grounded in the foundational RT package Return Theory (RT): A Geometric, Projection-Based Cosmological Framework - Theory, Numerical & Global Fits (DOI: 10.5281/zenodo.17857410), which serves as the primary reference for RT’s geometric time-projection framework and its observational consequences.<span> </span></p> <p> </p> <p>This document does not supersede the above works. Instead, it standardizes their shared observational language by specifying how stability, coherence, and interpretability are to be quantified and falsified in observer-limited settings, enabling consistent application across domain-specific analyses.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18131366 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Return Theory — Observation Quantitative Criteria, Operational Definitions of Stability, Coherence, and Interpretability Hamed Hajizadeh <p>This document provides operational, quantitative criteria for core observational concepts used throughout Return Theory (RT), including bounded variability, phase coherence, and narrative stability. It introduces no new physical dynamics, fields, or evolution laws; its purpose is strictly methodological: to make observer-based notions explicitly testable under real data accumulation.</p> <p> </p> <p>The criteria defined here are intended to serve as a reference layer that connects three RT observation-facing components. First, it is aligned with Return Theory — Projection, A Geometric Framework for Observation, Stability, and Limits (DOI: 10.5281/zenodo.18111105), which formalizes observation as a constrained geometric projection and introduces narrative stability as an operational criterion for observational coherence.<span> </span></p> <p> </p> <p>Second, it is consistent with Return Theory — Degrees of Freedom, Gauge-like Structure of Amplitude, Frequency, and Phase in Observational Projection (DOI: 10.5281/zenodo.18118300), where amplitude, frequency, and phase are treated as representational (gauge-like) freedoms rather than physical variables; this document accordingly formulates coherence and phase-based criteria in terms of observable, gauge-invariant relationships.<span> </span></p> <p> </p> <p>Third, it interfaces with Return Theory - Instrumentation (DOI: 10.5281/zenodo.18077603), which frames instruments as embedded within an observer-defined projection structure and articulates structural limits on instrumentality; this document translates those qualitative limits into quantitative acceptance/rejection conditions under rank expansion and data growth.<span> </span></p> <p> </p> <p>Finally, the present criteria are grounded in the foundational RT package Return Theory (RT): A Geometric, Projection-Based Cosmological Framework - Theory, Numerical & Global Fits (DOI: 10.5281/zenodo.17857410), which serves as the primary reference for RT’s geometric time-projection framework and its observational consequences.<span> </span></p> <p> </p> <p>This document does not supersede the above works. Instead, it standardizes their shared observational language by specifying how stability, coherence, and interpretability are to be quantified and falsified in observer-limited settings, enabling consistent application across domain-specific analyses.</p> |
| title | Return Theory — Observation Quantitative Criteria, Operational Definitions of Stability, Coherence, and Interpretability |
| url | https://doi.org/10.5281/zenodo.18131366 |