arXiv subjects

Abdul Rahaman Shaikh

Publications and source records attributed to Abdul Rahaman Shaikh.

3 recordsLinked to original sources

arXiv2026

Imprints of Left-Right Symmetry breaking in Gravitational Wave Spectroscopy: A non-minimal case study

We investigate the dynamics of cosmological phase transition in the framework of a non-minimal version of Left-Right symmetric gauge model. At a high energy scale, this framework having the symmetry $SU(2)_L \otimes SU(2)_{R} \otimes U(1)_R \otimes U(1)_L$, is stemmed out from the Grand Unifying group $E_6$. Rich scalar sector of this model offers interesting opportunity for studying first order phase transition which can be the source of stochastic gravitational waves. Taking into account the theoretical and experimental constraints applicable to this model, we look for benchmark parameters where first order phase transition could be observed during the breaking of $SU(2)_{R} \otimes U(1)_R \otimes U(1)_L$ down to $U(1)_Y$, at an energy scale of tens of TeVs or higher. Our investigation reveals the possibility of strong first order phase transition over a large region of parameter space. We also discuss the production of stochastic gravitational waves arising from such strong first order phase transition. Our results present clear, testable predictions that fall directly within the sensitivity bands of ongoing and next-generation gravitational-wave observatories like LISA, DECIGO, AEDGE and $μ$ARES.

hep-ph↗

arXiv2026

Unifying Quantum and Classical Dynamics

Classical and quantum physics represent two distinct theories; however, quantum physics is regarded as the more fundamental of the two. It is posited that classical mechanics should arise from quantum mechanics under certain limiting conditions. Nevertheless, this remains a challenging objective. In this work, we explore the potential for unifying the dynamics of classical and quantum physics. This discussion does not suggest that classical behavior emerges from quantum mechanics; rather, it demonstrates the exact equivalence between the dynamics of quantum observables and their classical counterparts. It is shown that the Heisenberg equations of motion can be cast in a form that is structurally equivalent to Newton's equations of motion, with $\hbar$ dropping out from the equations. In a generalized analysis, the Heisenberg equations are cast in a form that is identical to the classical Hamilton's equations of motion. This implies that both quantum and classical dynamics are governed by the same form of equations, with the Heisenberg operators substituting the classical observables.

quant-ph↗

arXiv2025

Explaining Fermions Mass and Mixing Hierarchies through $U(1)_X$ and $Z_2$ Symmetries

For understanding the hierarchies of fermion masses and mixing, we extend the Standard Model gauge group with $ U(1)_X $ and $ Z_2 $ symmetry. The field content of the Standard Model is augmented by three heavy right-handed neutrinos, two new scalar singlets, and a scalar doublet. $ U(1)_X $ charges of different fields are determined after satisfying anomaly cancellation conditions. In this scenario, the fermion masses are generated through higher-dimensional effective operators with $ O(1) $ Yukawa couplings. The small neutrino masses are obtained through type-1 seesaw mechanism using the heavy right-handed neutrino fields, whose masses are generated by the new scalar fields. We discuss the flavour-changing neutral current processes that arise due to the sequential nature of $ U(1)_X $ symmetry. We have written effective higher-dimensional operators in terms of renormalizable dimension-four operators by introducing vector-like fermions.

hep-ph↗