In Symmetric Teleparallel General Relativity, gravity is attributed to the non-metricity. The so-called "coincident gauge" usually taken in this theory so that affine connection vanishes and metric only fundamental variable. This gauge choice was kept many studies on extensions of such as f(Q) theory. paper, we point out sometimes will make inconsistent. To circumvent problem, reformulate a cov...

We use Dirac's method for the quantization of constrained systems in order to quantize a spatially flat Friedmann-Lema\^{i}tre-Robertson-Walker spacetime context $f(Q)$ cosmology. When coincident gauge is considered, resulting minisuperspace system possesses second class constraints. This distinguishes process from typical Wheeler-DeWitt quantization, which applied cosmological models where onl...

This is a set of lecture notes for the first author’s lectures on difference equations in 2019 at Institute Advanced Study Mathematics Zhejiang University. We focus explicit computations and examples. The convergence local solutions discussed.