The vector boson oscillator in doubly special relativity
Guvendi A. Mustafa O. Jafari N.
December 2025Elsevier B.V.
Chinese Journal of Physics
2025#981046 - 1052 pp.
We 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.
Doubly special relativity , Photons , Rotating ring-like modes , Special functions , Vector boson oscillator
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Department of Basic Sciences, Erzurum Technical University, Erzurum, 25050, Turkey
Department of Physics, Eastern Mediterranean University, G. Magusa, north Cyprus, Mersin 10, 99628, Turkey
Fesenkov Astrophysical Institute, Almaty, 050020, Kazakhstan
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Department of Basic Sciences
Department of Physics
Fesenkov Astrophysical Institute
Al-Farabi Kazakh National University
Center for Theoretical Physics
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