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| Format: | Recurso digital |
| Language: | English |
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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19445402 |
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| _version_ | 1866902095611822080 |
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| author | Succi, Andrea Magnini, Pierpaolo |
| author_facet | Succi, Andrea Magnini, Pierpaolo |
| contents | <p><span><span>The human visual system presents a documented structural anatomical asymmetry: the fovea — the point of maximum acuity of the macula — is positioned temporally relative to the intersection of the pupillary axis with the posterior pole of the eye. This asymmetry generates angle kappa, a standard clinical parameter measured in refractive surgery, and introduces a stable misalignment between the pupillary axis (the line perpendicular to the cornea passing through the center of the pupil) and the visual axis (the line connecting the fixation point to the fovea through the nodal points). In this paper we propose that this misalignment is not an optical imperfection of the biological system, but the geometric signature of a double oscillatory dynamic — analogous in structure to the solar analemma — that emerges from the superposition of two distinct internal cycles: a long cycle (~365 days, associated with macular dynamics) and a short cycle (~28 days, associated with pupillary dynamics). We formalize this oscillation within the Kiawe Epistemological Framework (KEF) [1] as an instantiation of the G–X–Q–N cycle [2]: luminous potential (G) undergoes the torsional pupillary transition (X), produces the stable form of the foveal image (Q), and returns to potential in the next cycle (N). The structural correspondence with the solar analemma — generated by the superposition of the Earth's axial tilt (~23.4°) and orbital eccentricity, producing the same 365/28 cycles and the same figure-eight geometry — is formalized as cross-domain convergence rather than analogy. We propose three verifiable predictions that distinguish this convergence from functional analogy.</span></span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19445402 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Oculomotor Analemma: Torsional Oscillation of the Pupil–Macula Axis and Structural Convergence with the Solar Analemma in the KEF Framework Succi, Andrea Magnini, Pierpaolo oculomotor analemma; pupil–macula axis; angle kappa; G–X–Q–N cycle; torsional oscillation; cross-domain convergence; fovea; visual system <p><span><span>The human visual system presents a documented structural anatomical asymmetry: the fovea — the point of maximum acuity of the macula — is positioned temporally relative to the intersection of the pupillary axis with the posterior pole of the eye. This asymmetry generates angle kappa, a standard clinical parameter measured in refractive surgery, and introduces a stable misalignment between the pupillary axis (the line perpendicular to the cornea passing through the center of the pupil) and the visual axis (the line connecting the fixation point to the fovea through the nodal points). In this paper we propose that this misalignment is not an optical imperfection of the biological system, but the geometric signature of a double oscillatory dynamic — analogous in structure to the solar analemma — that emerges from the superposition of two distinct internal cycles: a long cycle (~365 days, associated with macular dynamics) and a short cycle (~28 days, associated with pupillary dynamics). We formalize this oscillation within the Kiawe Epistemological Framework (KEF) [1] as an instantiation of the G–X–Q–N cycle [2]: luminous potential (G) undergoes the torsional pupillary transition (X), produces the stable form of the foveal image (Q), and returns to potential in the next cycle (N). The structural correspondence with the solar analemma — generated by the superposition of the Earth's axial tilt (~23.4°) and orbital eccentricity, producing the same 365/28 cycles and the same figure-eight geometry — is formalized as cross-domain convergence rather than analogy. We propose three verifiable predictions that distinguish this convergence from functional analogy.</span></span></p> |
| title | The Oculomotor Analemma: Torsional Oscillation of the Pupil–Macula Axis and Structural Convergence with the Solar Analemma in the KEF Framework |
| topic | oculomotor analemma; pupil–macula axis; angle kappa; G–X–Q–N cycle; torsional oscillation; cross-domain convergence; fovea; visual system |
| url | https://doi.org/10.5281/zenodo.19445402 |