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Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Chronokinetic Gravity: Emergent Geometry and Gauge Fields from the Kinetics of Directed Time (Хроно-Кинетическая Гравитация)

Authors: Shkarubskyi, Serhii;

Chronokinetic Gravity: Emergent Geometry and Gauge Fields from the Kinetics of Directed Time (Хроно-Кинетическая Гравитация)

Abstract

This paper proposes a novel effective field theory, "Chronokinetic Gravity," in which spacetime geometry and gauge fields are not postulated as fundamental entities, but emerge hydrodynamically from the kinetic distribution of a local "time budget." Building upon G. Nordström's historical scalar theory of gravity (1913), I replace the scalar field with a directed distribution function T(x,n) on an indestructible, flat Minkowski background. By introducing a strict Eulerian approach—where a fixed sphere of directions S² exists at every point in space to transmit time values— I rigorously derive the macroscopic field moments. I prove that the conservation laws of the local mixing integral dynamically generate the Lorentz gauge for electromagnetism (spin-1) and the transverse-traceless (TT) gauge for the graviton (spin-2). Through the Chapman-Enskog gradient expansion and the Deser spin-2 bootstrap mechanism, I demonstrate the inevitable formation of the non-linear Einstein equations as a macroscopic hydrodynamic limit. Furthermore, the vDVZ discontinuity is naturally bypassed via the tensor zero-mode of the collision integral. Finally, I show that gravitational singularities (in black holes and the Big Bang) are mathematical artifacts of the hydrodynamic limit breaking down (Knudsen number Kn ≫ 1), where the metric dissolves into a ballistic, collisionless transmission of information, providing a UV-complete path to quantum gravity via Landau damping.

В данной работе предлагается новая эффективная теория поля — «Хроно-Кинетическая Гравитация», в которой геометрия пространства-времени и калибровочные поля не постулируются как фундаментальные сущности, а возникают эмерджентно из кинетики распределения локального «бюджета времени». Расширяя историческую скалярную теорию Нордстрема (1913), я заменяю скаляр на направленную функцию распределения T(x,n) на незыблемом плоском фоне Минковского. Вводя строгий эйлеров подход неподвижных сфер направлений S², я вывожу макроскопические моменты поля. Доказывается, что законы сохранения интеграла локального перераспределения динамически генерируют калибровку Лоренца для электромагнетизма и поперечно-бесследовую (ТТ) калибровку для гравитона. Через гидродинамическое замыкание и механизм Дезера (spin-2 bootstrap) показывается неизбежность формирования уравнений Эйнштейна. Демонстрируется обход парадокса vDVZ и доказывается, что гравитационные сингулярности являются артефактами нарушения гидродинамического предела (при числе Кнудсена Kn ≫ 1), где метрика уступает место баллистической передаче информации, решая проблему квантования гравитации.

Keywords

Quantum Gravity, General Relativity, Spacetime Fluid, Emergent Gravity, Gauge Fields, Spin-2 Field, Kinetic Theory, Hydrodynamic Limit, Black Hole Singularity, vDVZ Discontinuity, Dark Energy, Chapman-Enskog Expansion

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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