This chapter presents a collection of open questions and speculative ideas that emerged during the main investigations. We explore non-chiral transmission lines, analyzing charge fluctuations in a diffusive system, and discovering a novel mathematical identity related to eigenvalue products of a finite difference operator. A discrete Green’s function approach is developed to resolve boundary condition challenges in non-chiral transport. Extending the study to fractional quantum Hall edge states, we derive modified heat flux and Lorenz numbers, revealing potential deviations from the Wiedemann-Franz law. Additionally, we investigate the impact of temperature fluctuations on the nonequilibrium distribution function, showing how they lead to non-Gaussian full-counting statistics (FCS) and potentially affect tunneling properties. Finally, we discuss the limitations of the tunneling Hamiltonian approach beyond leading order, particularly in systems with feedback loops, such as mesoscopic capacitors. These insights open new avenues for studying heat transport, correlated states, and non-equilibrium effects in mesoscopic systems.