I'm a PhD student wrapping up a doctorate in Genomics. I started in biology and switched to analysis because I have stupid hands. My opinion of my field is low. Working in it has, on on the bright side, taught me some statistics and programming. I'm roughly upper 5% on math ability, relative to my college class. Once upon a time I could solve ODEs, now most of my math is gone. However, I'm good with R, and can talk intelligently about mixed linear model, bayesianism vs. frequentism and about genetics, biochemistry and developmental biology. It's also taught me that huge segments of the biology literature are a mixture of non reproducible crap,... (read 208 more words →)
I'm late to the party here but have been trying to get less confused about quantum physics by reading Sean Carrolls math-heavy pop sci book quanta and fields. I wanted to ask you about the statement that electrons "cannot be only waves". In his telling, smooth fields are the more complete description of reality - particle like behavior emerges from the fact that the fields are harmonic oscillators and thus have discrete modes they can vibrate at - which is what gives us quantization. So he would say it's only waves - particles are just a very useful abstraction.
Do you guys meaningfully disagree on something (I know he's a many worlds guy) or is it just semantics about the word 'wave' (I realize e.g. a sound wave is meaningfully different from a wave in the electron field).