2,354 reputation
11232
bio website berkeley.academia.edu/…
location Berkeley, CA
age 24
visits member for 3 years, 6 months
seen 20 hours ago

Currently a graduate student in mathematics at the University of California - Berkeley.

Previously obtained a MASt. in Applied Mathematics from the University of Cambridge (2013), and a B.S. in Mathematics and a B.A. in Physics from the University of Chicago (2012).


Feb
28
comment What made us think that Earth moves around the Sun?
It doesn't; they both happen to rotate (though not necessarily in a circle or constant angular velocity) about their center of the mass (if you ignore the rest of the universe). In practice, however, the rest of the universe is negligible and the sun is so much more massive that the center of mass is actually contained within the sun.
Feb
28
revised Why one-dimensional strings, but not higher-dimensional shells/membranes?
added 3 characters in body
Feb
28
revised Why one-dimensional strings, but not higher-dimensional shells/membranes?
deleted 14 characters in body
Feb
28
asked Why one-dimensional strings, but not higher-dimensional shells/membranes?
Feb
28
comment Is the quantization of gravity necessary for a quantum theory of gravity?
Perhaps I was unclear about what my professor had said. I don't think he meant that the starting point for string theory is 'promoting' the metric to a quantum field, but rather, at the end of the day, this is how you wind up thinking of the metric. To be quite honest, I'm still in the course, and so quite inexperienced, so I expect my interpretation of his meaning is not so accurate. I would suspect that anything that does not make sense is a result of my ignorance, not his.
Feb
27
revised Is the quantization of gravity necessary for a quantum theory of gravity?
added 256 characters in body
Feb
27
asked Is the quantization of gravity necessary for a quantum theory of gravity? Part II
Feb
13
revised Why quantum mechanics?
added 2 characters in body
Feb
12
comment Charge conjugation in Dirac equation
This can be taken as a definition of $C$ if you like, although it does not uniquely specify a $C$. You have to normalize. Let $\gamma ^\mu$ be an irreducible representation of the Clifford algebra $\mathcal{C}\ell (1,3)$. You can check that the matrices $\gamma '^\mu :=-(\gamma ^\mu )^T$ also define a representation of this algebra. There is a theorem about Clifford algebras that says there is essentially only one (faithful) irreducible representation, and hence these two representations must be equivalent, i.e. there is a unitary $C$ such that $C\gamma ^\mu C^{-1}=-(\gamma ^\mu )^T$.
Feb
11
awarded  Nice Question
Jan
26
awarded  Nice Question
Jan
26
comment Is the quantization of gravity necessary for a quantum theory of gravity?
I've since added to my original question, and I would be interested if you have anything additional to say.
Jan
26
comment Is the quantization of gravity necessary for a quantum theory of gravity?
I've since added to my original question, and I would be interested if you have anything additional to say.
Jan
26
comment Is the quantization of gravity necessary for a quantum theory of gravity?
I've since added to my original question, and I would be interested if you have anything additional to say.
Jan
26
revised Is the quantization of gravity necessary for a quantum theory of gravity?
Extended question
Jan
25
asked Is the quantization of gravity necessary for a quantum theory of gravity?
Dec
8
awarded  Nice Question
Dec
7
comment Why quantum mechanics?
@juanrga I completely rewrote one part of my question that I realize was not worded so well. Perhaps it makes more sense now?
Dec
7
revised Why quantum mechanics?
Clarified meaning (hopefully) immensely.
Dec
7
comment Why quantum mechanics?
@juanrga I was trying to demonstrate what I meant when I originally said "Make as little use of experiment as possible.". What I really meant was "When you make use of experiment, use it to justify as fundamental results as possible". In principle, you would reduce kinetic theory to even more fundamental physics, and so on, and eventually you would get to the point where you couldn't reduce things theoretically anymore, the only thing you could do is justify your assumptions on the basis of experiment, as opposed to just more theory.