I recommend Sabine Hossenfelder many videos where she talks about how we have <b>NO</b> evidence to suggest that there exists simple, beautiful unified theories that explain reality.. and therefore spending limited resources to find such theories/particles needs to be scrutinized.   And, for example, even if CERN were to have discovered something new that led to deriving the 3 standard model forces from a GUT, it wouldn't have give us any new insights or make any new predictions that is lacking in our standard model.<br><br>Regarding multiple dimensions / topology, Sabine also has a recent video ("2+2 Doesn't Always Equal 4") on how the universe isn't expanding into anything (flat embedding space)..  and describes how measurements can be done from within the object you are trying to measure, like ants on a ball, to prove that it's growing. <br><br>Finally, regarding Grant Sanderson's channel (3blue1brown) on learning math,"  I recommend the Freakonomics episode <a href=""http://www.youtube.com/results?search_query=%23391"">#391</a>", where  Steve Levitt talks about how the math curriculum needs to be re-balanced, with less emphasis on calculus and other tasks best accomplished with computers, and instead, adding (modern) statistics, linear-algebra, and data science.  See Salman Khan interview on the People I (Mostly) Admire Podcast Ep. 22)