In this paper we explore the five-dimensional $f(T,B)$ teleparallel modified gravity with $f_1(T,B)=T+k_1{B}^{n_1}$ and $f_2(T,B)=B+k_2{T}^{n_2}$ in the brane scenario. Asymptotically, the bulk geometry converges to an ${\mathrm{AdS}}_5$ spacetime whose cosmological constant is produced by parameters that control torsion and the boundary term. The analysis of the energy density condition reveals a splitting brane process satisfying the weak and strong energy conditions for some values of the parameters $n_{1,2}$ and $k_{1,2}$. In addition, we investigate the behavior of the gravitational perturbations in this scenario. In the bulk, the torsion keeps a gapless nonlocalizable and stable tower of massive modes. Inside the brane core, the torsion produces new barriers and potential wells leading to small amplitude massive modes and a massless mode localized for some values of the parameters $n_{1,2}$ and $k_{1,2}$.

We study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f(T, B) gravity. Here, f(T, B) is such that $$f_1(T,B)=T+k_1B^{n_1}$$f 1 ( T , B ) = T + k 1 B n 1 and $$f_2(T,B)=B+k_2T^{n_2}$$f 2 ( T , B ) = B + k 2 T n 2 , where $$n_{1,2}$$n 1 , 2 and $$k_{1,2}$$k 1 , 2 are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $$n_{1,2}$$n 1 , 2 and $$k_{1,2}$$k 1 , 2 parameters control the width of the massless Kaluza–Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.

This paper explores the interplay between quantum information theory and the stabilization of graphene wormholes using external magnetic fields. Utilizing Shannon entropy, we analyze how quantum information can be applied to control and stabilize these structures. By studying graphene’s quantum states under different magnetic field strengths and configurations, we gain insights into the entanglement and coherence properties governing their behavior. The findings demonstrate the potential of quantum information metrics to enhance the stability and control of graphene wormholes, with implications for quantum computing and material science innovations.

This paper is aimed at investigating the behavior of gauge vector and tensor fields on thick brane in f(T) gravity. This thick brane is not capable of providing a normalizable zero mode for both gauge and Kalb Ramond fields. To overcome this problem, we propose two distinct types of gauge-invariant couplings. In the first coupling, the fields are minimally coupled to the scalar field responsible for generating the thick brane. In the second coupling, we use the geometric coupling in which the fields are non-minimally coupled to torsion. Another issue that we investigate is resonant modes, which allow us to understand the massive spectrum of fields. Indeed we note that an internal structure appears for the Kalb–Ramond massive solutions and both couplings show resonant modes of the massive spectrum.