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The Warp--Chrono Metric: Time--Deformation Dynamics in Rigid--Space Quantum Loop Chrono Dynamics (QLCD)

Year: 2025
Type: article
Abstract: We formalize the kinematics and energetics of constant--proper--acceleration motion in the framework of Quantum Loop Chrono Dynamics (QLCD). In this theory, space is non--deformable and all dynamical curvature is assigned to the scalar time field $\phi(\tau)$. Acceleration is reinterpreted as a controlled deformation of the time field, producing an irreversible energy cost, the \emph{time--charge}. We define the \emph{Warp--Chrono Metric}, show its equivalence to the Rindler chart in a rigid--space background, and derive the energy--to--time equivalence law $dE_{\text{time}}/d\tau = m a c(\sinh W - W)$ in SI form (Planck units are recovered by setting $c=\hbar=G=1$). The result generalizes the twin--paradox asymmetry and predicts that intergalactic and cosmological travel can be achieved within finite proper time, at the expense of an irrecoverable time--field deformation energy that manifests as differential aging.
Language: English
Open Access status: green
OpenAlex ID: W7087536936
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