Electron beams, stochastic processes and quantum mechanics

As the US government is taken over by Musk, Fascism solidifies and plans are carried out to destroy government infrastructure and our world-class science as well as undermine civil rights. Meanwhile I'm stuck inside, w/ a minor cold (snow and low temperatures in Colorado). I'm trying to get an application done for Denver University physics department by Saturday. I didn't succeed with the CU Boulder application, which was disappointing, though not so surprising. There are also some open positions at Colorado School of Mines I may apply for. Of course, the political changes make all of this a lot more uncertain.

Meanwhile, I'm reading a lot about stochastic processes to go back to my PhD thesis and try to give a clearer formulation of intrabeam scattering and synchrotron radiation for spin depolarization in high energy electron storage rings. I'm reading books and papers on stochastic differential equations: white noise, Ito calculus, Wiener process, Fokker Planck equation, etc.

I've also been trying to understand Jacob Barandes' "Stochastic Quantum Correspondence"  https://arxiv.org/abs/2302.10778
It gives a mapping between a quantum system with a Hilbert space, Hamiltonian and unitary maps, and a general stochastic process with transition probabilities. If the stochastic matrix factorizes at a given time, then you get classical behavior, if not you get quantum behavior (so-called divisible/indivisible processes). There are still interpretational questions about what types of things are actually going through this process, and Barandes is agnostic on the ontology. Still, a lot of difficult questions, like measurement, local causality, etc. are given easier, less murky explanations. I still think there may be some connection to consciousness, but the discussion is shifted and it feels more solvable. I'm appreciative of Barandes bringing this question into a more fruitful and deep conversation with philosophy.

Some additional commentary and possible critique on Barandes' work I've been trying to understand:
https://coexactly.github.io/blog/posts/stochastic-quantum/

Since I don't have a job for now, I may as well try to dig deep in various topics. Shoring up my understandings of stochastic processes and quantum mechanics is something I've long wanted to do. Of course, the dangerous developments of our government can take up a lot of my attention. I'm trying to not let that take over.

I'm hoping this material may help me with my research statement in my application. They want someone to support a program on quantum materials and information science, and this stuff, together with my experience with synchrotron light sources, beamline modeling and machine learning could make a strong application. I put a lot of time into the climate science research statement for CU, but this material may be less of a stretch for the committee, and maybe gives me a better chance to succeed, even though I was excited to try to move ahead on the climate science front.

American Identity

 

I'm watching the Star Trek: Next Generation episode "Birthright" about Worf finding a group of Klingons and Romulons who have learned to live together. Worf brings the Klingon kids their stories and traditions and this disrupts the balance with the Romulons.

 

What I wonder is how new stories and identities are created. Losing history and tradition isn't the answer, but one must also create new traditions.

 

I think about what the American identity is. I think we are being over-run by a limited, small idea of American identity right now.

 

How do we braid the threads of tradition together to form an American identity that can hold us together, but deny no one's history? The attempt to say that whiteness and Christianity is the American identity, is too cheap, too crude, and too disrespectful of so many people's histories. Jewish history must be part of what it is to be American as well as Islamic, Chinese, European, South American, and all other histories and ethnicities that make up the American people.

 

Multi-culturalism is part of the answer, but we also need a stronger answer about what it means to be an American. How else do we all feel a commonality with which we can work together?

 

Probably more reconciliation and reparations are necessary. The native American and African American histories and identities have been disrespected. My intuition is that part of what brings us to this moment of break-down is our failure to find a just integration of all our histories in the US.