@obliv Currently the scifi wiki have 3 major branches I am trying to explore:
Science (where the physical stage of the fiction is accurate down to the single atom and any fictional laws are self consistent)
Magic (obeying consistent laws, fit folklore description of all known types of magic and socery. Soem plans on trying to get them to interact with the science component to get something interesting)
Religion (There are currently 3 ideas in the pipeline, but I have not explored them fully yet)

To show that the position operator, given by the eigenvalue equation $$\hat{R} |r \rangle \ = r |r \rangle$$ is Hermitian I have shown that: $$\langle \phi| \hat{R} | \psi \rangle =
\langle \phi| \hat{R}\big( \int d^3r |r \rangle \langle r | \big)| \psi \rangle = \int d^3r \langle \phi| \hat{R} | r \rangle \langle r | \psi \rangle = \int d^3r r \langle \phi| r \rangle \langle r | \psi \rangle = [\int d^3 r r \langle \psi| r \rangle \langle r | \phi \rangle]^* = \langle \psi | \hat{R} \ |\phi \rangle^*$$