Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Pradosh Keshav, M.V. Title A name given to the resource Relational Time as a Stochastic Variable in ADM Gravity Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Fortschritte der Physik;Volume;73;Issue;2026-10-09 00:00:00;Article No.;e70024; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1002/prop.70024" target="_blank" rel="noreferrer noopener">https://doi.org/10.1002/prop.70024</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105013211315?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105013211315?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Pradosh Keshav M.V., Department of Physics and Electronics, Christ University, Bangalore, 560029, India Description An account of the resource The absence of a fundamental time parameter in canonical quantum gravity is motivating the search for internal clocks by which evolution is defined relationally. While formal solutions are provided classical deparametrization schemes they often rely on semiclassical limits or fixed foliations that break general covariance. In this work, a canonical framework is constructed where time emerges dynamically as a stochastic degree of freedom, identified with a massless scalar field whose conserved momentum current defines a relational foliation. Unlike semiclassical stochastic gravity approaches where noise is introduced externally, here the stochasticity arises from coarse-graining of unresolved transverse-traceless graviton modes, leading to an intrinsic, dynamically coupled stochastic clock field. This leads to a diffusion-like broadening of the wavefunctional across neighboring clock slices, offering a novel stochastic phenomenology of the WheelerDeWitt equation. The resulting evolution remains consistent with hypersurface-deformation algebra in an ensemble sense, while introducing an intrinsic probabilistic nature to relational time. This work thus establishes the theoretical foundation for future applications in quantum cosmology and the emergence of classicality from quantum gravitational systems. 2025 Wiley-VCH GmbH. Subject The topic of the resource relational time; scalar clocks; stochastic clocks; wheeler-dewitt equation Publisher An entity responsible for making the resource available John Wiley and Sons Inc Relation A related resource ISSN: 158208; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online