Nested Angular Progress, Galactic Phase-Space Addressing, and Earth-Language Chronometric Labels A Gravity-Independent Phase-Geometric Framework from Local Rotating Bodies to a Milky Way Atlas

This work presents the Galactic Chronometric Atlas framework, an operational architecture for organizing and comparing celestial kinematic states using nested phase ledgers, phase-space descriptions, and dimensionless chronometric labels. The framework does not introduce a new gravitational theory or replace General Relativity. Instead, it provides a structured methodology for representing known kinematic quantities within a declared reference frame and translating dimensionless kinematic states into observer-specific comparison coordinates. The central construction consists of: 1. A nested phase ledger that separates rotational, orbital, parent-system, and Galactic phase components. 2. A phase-space address representation: A_X = (position, velocity, phase ledger, reference frame, epoch), emphasizing that position alone is insufficient to determine a kinematic chronometric state. 3. A frame-defined dimensionless chronometric label: K_X = gamma_X * beta_X^2 where beta = v/c and gamma is the corresponding Lorentz factor. 4. A local observer translation framework that allows the dimensionless label to be expressed using the time convention of a chosen observer, without assigning privileged status to Earth. 5. A quality-controlled Galactic atlas methodology that distinguishes measured six-dimensional states, incomplete position-only states, and model-completed states. The framework is intended as an organizational and comparative tool for astronomical datasets, including planetary systems, stellar populations, and future six-dimensional Galactic catalogues. The contribution of this work is architectural: it combines phase bookkeeping, reference-frame tracking, velocity representation, and dimensionless kinematic labelling into a unified operational workflow while maintaining a clear separation between observational data, mathematical derivation, translation conventions, and modelling assumptions.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21482411
Primary Topic
Geophysics and Gravity Measurements
Type
preprint
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preprint

Nested Angular Progress, Galactic Phase-Space Addressing, and Earth-Language Chronometric Labels A Gravity-Independent Phase-Geometric Framework from Local Rotating Bodies to a Milky Way Atlas

S.M.H Emamifar
Zenodo (CERN European Organization for Nuclear Research)
Geophysics and Gravity Measurements
preprint

Nested Angular Progress, Galactic Phase-Space Addressing, and Earth-Language Chronometric Labels A Gravity-Independent Phase-Geometric Framework from Local Rotating Bodies to a Milky Way Atlas

S.M.H Emamifar
preprint en

Abstract

This work presents the Galactic Chronometric Atlas framework, an operational architecture for organizing and comparing celestial kinematic states using nested phase ledgers, phase-space descriptions, and dimensionless chronometric labels. The framework does not introduce a new gravitational theory or replace General Relativity. Instead, it provides a structured methodology for representing known kinematic quantities within a declared reference frame and translating dimensionless kinematic states into observer-specific comparison coordinates. The central construction consists of: 1. A nested phase ledger that separates rotational, orbital, parent-system, and Galactic phase components. 2. A phase-space address representation: A_X = (position, velocity, phase ledger, reference frame, epoch), emphasizing that position alone is insufficient to determine a kinematic chronometric state. 3. A frame-defined dimensionless chronometric label: K_X = gamma_X * beta_X^2 where beta = v/c and gamma is the corresponding Lorentz factor. 4. A local observer translation framework that allows the dimensionless label to be expressed using the time convention of a chosen observer, without assigning privileged status to Earth. 5. A quality-controlled Galactic atlas methodology that distinguishes measured six-dimensional states, incomplete position-only states, and model-completed states. The framework is intended as an organizational and comparative tool for astronomical datasets, including planetary systems, stellar populations, and future six-dimensional Galactic catalogues. The contribution of this work is architectural: it combines phase bookkeeping, reference-frame tracking, velocity representation, and dimensionless kinematic labelling into a unified operational workflow while maintaining a clear separation between observational data, mathematical derivation, translation conventions, and modelling assumptions.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Geophysics and Gravity Measurements
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Nested Angular Progress, Galactic Phase-Space Addressing, and Earth-Language Chronometric Labels A Gravity-Independent Phase-Geometric Framework from Local Rotating Bodies to a Milky Way Atlas — S.M.H Emamifar · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS