Spontaneous Decoherence from Imaginary-Order Spectral Deformations
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Quantum Physics arXiv:2512.09236 (quant-ph) [Submitted on 10 Dec 2025] Title:Spontaneous Decoherence from Imaginary-Order Spectral Deformations Authors:Sridhar Tayur View a PDF of the paper titled Spontaneous Decoherence from Imaginary-Order Spectral Deformations, by Sridhar Tayur View PDF HTML (experimental) Abstract:We examine a mechanism of spontaneous decoherence in which the generator of quantum dynamics is replaced by the imaginary-order spectral deformation $H^{1+i\beta}$ of a positive Hamiltonian $H$. The deformation modifies dynamical phases through the factor $E^{i\beta} = e^{i\beta \log E}$, whose rapid oscillation suppresses interference between distinct energies. A non-stationary-phase analysis yields quantitative estimates showing that oscillatory contributions to amplitudes or decoherence functionals decay at least as $O(1/|\beta|)$. The Born rule and the Hilbert-space inner product remain unchanged; the modification is entirely dynamical. The physical motivation for the deformation arises from clock imperfections, renormalization-group and effective-action corrections that introduce logarithmic spectral terms, and semiclassical quantum-gravity analyses in which complex actions produce spectral factors of the form $E^{i\beta}$. Examples including FRW minisuperspace, quartic potentials, curved-background Hamiltonians, and a Schwarzschild interior-type model illustrate how the mechanism yields explicit decoherence rates. The parameter $\beta$ may be experimentally constrained through precision coherence measurements in low-noise quantum platforms. The mechanism contrasts with Milburn-type intrinsic decoherence, Diosi-Penrose gravitational collapse, and real-order fractional dynamics in that it acts purely through deterministic spectral phases of a single Hamiltonian. The analysis positions the framework as a compact and testable phenomenological representation of logarithmic spectral corrections appearing in quantum-gravity-motivated effective theories. Comments: Subjects: Quantum Physics (quant-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph) Cite as: arXiv:2512.09236 [quant-ph] (or arXiv:2512.09236v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.09236 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sridhar Tayur [view email] [v1] Wed, 10 Dec 2025 01:53:26 UTC (11 KB) Full-text links: Access Paper: View a PDF of the paper titled Spontaneous Decoherence from Imaginary-Order Spectral Deformations, by Sridhar TayurView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 Change to browse by: gr-qc hep-th math math-ph math.MP References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)