Earth's Multi-Clock Architecture: A Phase-Structured Mathematical Overlay of Angular, Solar, Stellar, and Precessional Cycles

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Bibliographic Details
Main Author:	Lesperance, Joel Michael
Format:	Recurso digital
Published:	Zenodo 2026
Subjects:	Earth calendar architecture, multi-clock system, angular partition, 360 degrees, tropical year, 365.2422 days, sidereal rotation, 366.2422 rotations, solar day, sidereal day, orbital period, phase structure, rotational dynamics, reference frame transformation, celestial mechanics, axial precession, 25,772-year cycle, 50.3 arcseconds per year, hierarchical phase system, nested periodicity, divisor structure, highly composite numbers, base-12 representation, angular subdivision, orbital geometry, daily rotation, annual revolution, stellar frame, equinox cycle, astronomical timekeeping, calendar mathematics, phase accumulation, rotational kinematics, precessional drift, modular indexing, cyclic synchronization, celestial reference systems, Earth–Sun dynamics, inertial frame rotation, astronomical coordinate systems, mean solar time, equatorial bulge torque, long-term phase drift, reference frame overlay, angular velocity, timekeeping correction, seasonal cycle, phase offset identity, orbital angular motion, rotational reference frames, mathematical overlay framework.
Online Access:	Acceder al recurso
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_version_	1866902000451452928
author	Lesperance, Joel Michael
author_facet	Lesperance, Joel Michael
contents	<p><span>Earth’s calendar emerges from several measurable periodic motions: daily rotation, yearly revolution, stellar reference rotation, and long-term axial precession. These motions can be described as interacting “clocks” operating at different speeds. The geometric circle (360°), the tropical year (365.2422 mean solar days), the sidereal rotation count (366.2422 rotations per tropical year), and axial precession (~25,772-year cycle) form a coherent phase hierarchy. This paper presents the algebraic relationships among these quantities and explains their physical meaning in accessible terms. Base-12 representation is included as an efficient angular subdivision system. The result is a structured description of Earth’s calendar as layered, interacting cycles.</span></p>
format	Recurso digital
id	zenodo_https___doi_org_10_5281_zenodo_18685816
institution	Zenodo
language
publishDate	2026
publisher	Zenodo
record_format	zenodo
spellingShingle	Earth's Multi-Clock Architecture: A Phase-Structured Mathematical Overlay of Angular, Solar, Stellar, and Precessional Cycles Lesperance, Joel Michael Earth calendar architecture, multi-clock system, angular partition, 360 degrees, tropical year, 365.2422 days, sidereal rotation, 366.2422 rotations, solar day, sidereal day, orbital period, phase structure, rotational dynamics, reference frame transformation, celestial mechanics, axial precession, 25,772-year cycle, 50.3 arcseconds per year, hierarchical phase system, nested periodicity, divisor structure, highly composite numbers, base-12 representation, angular subdivision, orbital geometry, daily rotation, annual revolution, stellar frame, equinox cycle, astronomical timekeeping, calendar mathematics, phase accumulation, rotational kinematics, precessional drift, modular indexing, cyclic synchronization, celestial reference systems, Earth–Sun dynamics, inertial frame rotation, astronomical coordinate systems, mean solar time, equatorial bulge torque, long-term phase drift, reference frame overlay, angular velocity, timekeeping correction, seasonal cycle, phase offset identity, orbital angular motion, rotational reference frames, mathematical overlay framework. <p><span>Earth’s calendar emerges from several measurable periodic motions: daily rotation, yearly revolution, stellar reference rotation, and long-term axial precession. These motions can be described as interacting “clocks” operating at different speeds. The geometric circle (360°), the tropical year (365.2422 mean solar days), the sidereal rotation count (366.2422 rotations per tropical year), and axial precession (~25,772-year cycle) form a coherent phase hierarchy. This paper presents the algebraic relationships among these quantities and explains their physical meaning in accessible terms. Base-12 representation is included as an efficient angular subdivision system. The result is a structured description of Earth’s calendar as layered, interacting cycles.</span></p>
title	Earth's Multi-Clock Architecture: A Phase-Structured Mathematical Overlay of Angular, Solar, Stellar, and Precessional Cycles
topic	Earth calendar architecture, multi-clock system, angular partition, 360 degrees, tropical year, 365.2422 days, sidereal rotation, 366.2422 rotations, solar day, sidereal day, orbital period, phase structure, rotational dynamics, reference frame transformation, celestial mechanics, axial precession, 25,772-year cycle, 50.3 arcseconds per year, hierarchical phase system, nested periodicity, divisor structure, highly composite numbers, base-12 representation, angular subdivision, orbital geometry, daily rotation, annual revolution, stellar frame, equinox cycle, astronomical timekeeping, calendar mathematics, phase accumulation, rotational kinematics, precessional drift, modular indexing, cyclic synchronization, celestial reference systems, Earth–Sun dynamics, inertial frame rotation, astronomical coordinate systems, mean solar time, equatorial bulge torque, long-term phase drift, reference frame overlay, angular velocity, timekeeping correction, seasonal cycle, phase offset identity, orbital angular motion, rotational reference frames, mathematical overlay framework.
url	https://doi.org/10.5281/zenodo.18685816