Guvendi, AbdullahMustafa, OmarJafari, Nosratollah2026-03-262026-03-2620250577-907310.1016/j.cjph.2025.11.0062-s2.0-105022909326https://doi.org/10.1016/j.cjph.2025.11.006https://hdl.handle.net/20.500.14901/2907Jafari, Nosratollah/0000-0002-0285-6107; Mustafa, Omar/0000-0001-6664-3859; Güvendi, Abdullah/0000-0003-0564-9899We derive a relativistic wave equation for spin-1 vector bosons within the framework of Amelino-Camelia's doubly special relativity (DSR). By implementing non-minimal substitutions, we obtain a DSR-modified two-dimensional vector boson oscillator equation, formulated in terms of a symmetric rank-two spinor. This leads to a coupled system of first-order equations, including one algebraic equation, that governs the dynamics of the modified spin-1 vector boson oscillators. From this system, we extract an exactly solvable wave equation that incorporates first-order DSR corrections. The solutions are expressed in terms of special functions, and we present a closed-form expression for the energy spectrum, which explicitly incorporates the effects of DSR. Remarkably, our results reveal mass splittings induced by DSR between spin-1 oscillator and anti-oscillator modes. Furthermore, we show that these modes manifest exclusively as rotating, ring-shaped structures. The analysis is general and applies to both the low-energy regime and the non-relativistic limit.eninfo:eu-repo/semantics/closedAccessDoubly Special RelativityVector Boson OscillatorPhotonsRotating Ring-Like ModesSpecial FunctionsArticle