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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.19422885 |
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| _version_ | 1866901169009328128 |
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| author | Lesperance, Joel Michael |
| author_facet | Lesperance, Joel Michael |
| contents | <p><span><span>This paper extends the fold-based cyclic framework to a natural astronomical system by examining the interaction between the lunar synodic cycle and discrete calendar sampling. The mismatch between the continuous lunar cycle and fixed-length calendar containers produces residual structures that are not random drift but patterned signals. These residuals </span><span>exhibit</span><span> accumulation, symmetry, and boundary-dependent compression consistent with fold-based cyclic behavior. When analyzed within a fractional hinge framework, the residual aligns closely with stable rational rails, </span><span>indicating</span><span> that the mismatch encodes structural information. This </span><span>demonstrates</span><span> that lunar–calendar misalignment functions as an observational layer of the underlying cyclic system.</span></span><span> </span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19422885 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fold-Based Representations of Cyclic Systems: Toward a Unified Space–Time Model Part IX: Lunar Sampling, Calendar Mismatch, and Residual Structure in Gaia-Aligned Cyclic Systems Lesperance, Joel Michael <p><span><span>This paper extends the fold-based cyclic framework to a natural astronomical system by examining the interaction between the lunar synodic cycle and discrete calendar sampling. The mismatch between the continuous lunar cycle and fixed-length calendar containers produces residual structures that are not random drift but patterned signals. These residuals </span><span>exhibit</span><span> accumulation, symmetry, and boundary-dependent compression consistent with fold-based cyclic behavior. When analyzed within a fractional hinge framework, the residual aligns closely with stable rational rails, </span><span>indicating</span><span> that the mismatch encodes structural information. This </span><span>demonstrates</span><span> that lunar–calendar misalignment functions as an observational layer of the underlying cyclic system.</span></span><span> </span></p> |
| title | Fold-Based Representations of Cyclic Systems: Toward a Unified Space–Time Model Part IX: Lunar Sampling, Calendar Mismatch, and Residual Structure in Gaia-Aligned Cyclic Systems |
| url | https://doi.org/10.5281/zenodo.19422885 |