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We discuss how existing astrophysical measurements of various combinations ofthe fine-structure constant $\alpha$, the proton-to-electron mass ratio $\mu$and the proton gyromagnetic ratio g$_{p}$ towards the radio source PKS1413+135can be used to individually constrain each of these fundamental couplings.While the accuracy of the available measurements is not yet sufficient to testthe spatial dipole scenario discussed in this workshop (and elsewhere in thisvolume), our analysis serves as a proof of concept as new observationalfacilities will soon allow significantly more robust tests. Importantly, thesemeasurements can also be used to obtain constraints on certain classes ofunification scenarios, and we compare the constraints obtained for PKS1413+135with those previously obtained from local atomic clock measurements (anddiscussed in the previous contribution).

Constraining fundamental physics with combined variations of fundamental constants