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The formation of a naked singularity in $f(R)$ global monopole spacetime isconsidered in view of quantum mechanics. Quantum test fields obeying theKlein$-$Gordon, Dirac and Maxwell equations are used to probe the classicaltimelike naked singularity developed at $r=0$. We prove that the spatialderivative operator of the fields fails to be essentially self-adjoint. As aresult, the classical timelike naked singularity formed in $f(R)$ globalmonopole spacetime remains quantum mechanically singular when it is probed withquantum fields having different spin structures. Pitelli and Letelier (Phys.Rev. D 80, 104035, 2009) had shown that for quantum scalar ($spin$ $0$% )probes the general relativistic global monopole singularity remains intact. Forspecific modes electromagnetic ($spin$ $1$) and Dirac field ($% spin$ $1/2$)probes, however, we show that the global monopole spacetime behaves quantummechanically regular. The admissibility of this singularity is alsoincorporated within the Gubser's singularity conjecture.

Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime