The first post in the "From Branes to Brains" series. For the introduction to the series see this post. In this post, I will mostly follow the ideas from the classical book by Polyakov, as well as from this paper by Kleinert. First of all, consider a classical particle with...
When I was a Masters student, I was doing mathematical physics and I was feeling quite lost. I didn’t feel that I was good enough to continue or to outcompete everyone on the path to tenure. Moreover, I wasn’t even as motivated as I used to be – I didn’t...
Thank you!
As a technique, there is so-called Matsubara frequency calculation using something like imaginary temperature (not exactly, but it is the closest thing I can think about).
From the physical point of view, the imaginary temperature would mean complex probabilities, which is a very strange thing. From a frequentist approach, they do not make sense at all. From bayesian approach, we potentially can define it, but still not clear what would they mean.
Thank you! The posts will be more about science than a biography, but I may later write a biographical one as well.
The first post in the "From Branes to Brains" series. For the introduction to the series see this post.
In this post, I will mostly follow the ideas from the classical book by Polyakov, as well as from this paper by Kleinert.
First of all, consider a classical particle with mass in the one-dimensional potential . If we know, that at the moment the particle was in the point , and in the moment the particle was in the point , the particle should have travelled between these two points along the path that minimizes the action
This is known as the minimal action principle. In quantum mechanics, instead, the particle travels along all the possible trajectories, according to the Feynman... (read 1010 more words →)
When I was a Masters student, I was doing mathematical physics and I was feeling quite lost. I didn’t feel that I was good enough to continue or to outcompete everyone on the path to tenure. Moreover, I wasn’t even as motivated as I used to be – I didn’t see how the stuff I was doing could plausibly help people, and this feeling of uselessness was really daunting. What was worse, I felt that there was no way out. I had already spent so much time studying mathematical physics, how possibly could I do anything else?
Somehow I got accepted to a good Ph.D. program. I was confident that I should just... (read 228 more words →)
Ok, but what would negative probability then be?