101 reputation
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bio website
location USA
age
visits member for 2 years, 10 months
seen Feb 23 at 13:06

PhD

Interests:

Ring and module theory

Clifford algebra/Geometric algebra

Mathematical physics

Applications of abstract algebra


Feb
20
comment Why is the nucleus so small and why is the atom 99.999% empty space?
"Why are things the way they are?" questions have to be carefully asked, or else they are not very useful...
Nov
29
comment Does the distortion of an image depend on the location of the object with respect to the mirror?
I've never taken a course on optics, but I know a lot about geometry. I don't get the choice of drawing the bases of the images lining up this way. For a regular mirror, images appear to be the same distance away as their reflections, but that clearly isn't obeyed here. It could be a principle of optics I don't know. But still, the thought experiment i suggested seems to collide with that idea.
Nov
29
comment Does the distortion of an image depend on the location of the object with respect to the mirror?
Supposing the antenna was pushed over to the principal axis, if one imagined the rest of the phone vanishing, the part about having the same size would clearly not apply. Also, there is no "the plane perpendicular to", there are infinitely many such planes. So it leads me to believe that the normal plane through C has been singled out for special treatment. The equal lengths of CB and CB' can be explained, then.
Nov
8
comment How to know if a vehicle is moving without any external source of information?
Use of sensors seems to violate the assumption "no external changes can be perceived."
Dec
30
awarded  Supporter
Jun
11
awarded  Autobiographer