I met Paul A. M. Dirac in 1962.
- When Paul A. M. Dirac visited the University of Maryland in October of 1962, I was a
first-year assistant professor, and I had to provide convenience for him. At that
time, I was confused. The Physical Review Letters was constantly sending out new
words, such as Regge poles, N/D method, bootstrap dynamics, strip approximation, etc.
However, to me, they did not sound like the physics I really wanted to do.
-
Dirac and Feynman in Poland while attending a relativity conference
hosted by Leopold Infeld in July of 1962.
I was there in 2013.
- It was like the anwer Nicodemus got from Jesus. Nicodemus a Pharisee (upper-class Jewish man) unhppy with what was happening in his environment and went to Jesus for wisdom, but he got the anwer totally strange to him.
- It took me some time to understand what Dirac was really telling me. First of all, by American physicists, did he meet anyone in particular? It was not until after reading some of Feynman's papers to realize he was talking about Feynman. Dirac was right, Feynman or his students could have studied Lorentz transformations more carefully. For instance, the paper with his students
- R. P. Feynman, M. Kislinger, and F. Ravndal, Phys. Rev. D 3, 2706 -2732 (1971).
Only after I read Feynman's papers, I realized Dirac was talking about Feynman when he said "American physicists." Dirac and Feynman met in July of 1962 (three months before I met Dirac). They met in Poland.
- How about Dirac's papers? The best way to understand what Dirac told me in 1962 was to read Dirac's own papers. Dirac's papers all sound like poems, but they do not contain figures. The best way to understand his papers is to translate all those poems into cartoons. Here are thus my cartoons to tell you what Dirac told me and what I did.
- First of all, let us translate what Dirac told me into a cartoon.
- It is quite safe assume that Dirac made many attempts to place something into this empty space. Indeed, he did in the following papers.
- Dirac (1927).
The Quantum Theory of the Emission and Absorption of Radiation,
Proc. Roy. Soc. (London) A [114], 243 - 265 (1927).
- Dirac (1945).
The Quantum Theory of the Emission and Absorption of Radiation,
Proc. Roy. Soc. (London) A [A183], 284 - 295 (1945).
- Dirac (1949). Forms of Relativistic Dynamics, Rev. Mod. Phys. [21] 392 - 399 (1949).
- His papers are like poems. It is possible to translate those poems into the following cartoons.
- You do not have to be a genius to combine the above two figures. This figure means many different things in physics. Among them are
- There are a number of papers based on this figure. They are
-
Quantum Mechanics of Moving Bound States.
Click here for a review paper.
- Quarks and partons as one Lorentz-covariant entity.
Click here for the webpage dedicated to this issue.
- Entropy and Lorentz transformations,
Physics Letters A 147, 343 (1990).
- Coupled oscillators, entangled oscillators, and Lorentz-covariant Oscillators
Journal of Optics B: Qauntum and Semiclassical 7, s 459 - 467 (2005).
ArXiv.
- Note added in 2018. After realizing that Dirac's
life-time interest was in making quantum mechanics consistent with relativity,
I became interested what Dirac was really telling me when I met him 1962. In 1962,
he submitted his paper to the Journal of Mathematical Physics, in which he constructed,
from two harmonic oscillators,
the Lie algebra of the Lorentz group applicable to 3-dimensional space with two time
variables.
Click here for Dirac's 1963 paper.
The harmonic oscillator is the language of quantum mechanics. The Lorentz group is the language of Einstein's special relativity. Does this mean that the special relativity is derivable from quantum mechanics? For many years, this has been my main interest in physics. Click here for my list of publications.
- Note added in 2019.
I became quite excited about contracting Dirac's O(3,2) group
into the inhomogeneous Lorentz group, and wrote the following three papers.
- Einstein's E = mc^2 derivable from Heisenberg's Uncertainty Relations,
with Sibel Baskal and Marilyn Noz,
Quantum Reports [1] (2), 236 - 251 (2019),
doi:10.3390/quantum1020021.
ArXiv. For pdf with sharper images, Click here. - Role of Quantum Optics in Synthesizing Quantum Mechanics and Relativity,
Invited paper presented at the 26th International Conference on Quantum Optics and Quantum Information (Minsk, Belarus, May 2019).
ArXiv. For pdf with sharper images, click here. - Poincaré Symmetry from Heisenberg's Uncertainty Relations,
with S. Baskal and M. E. Noz,
Symmetry [11](3), 236 - 267 (2019),
doi:10.3390/sym11030409.
ArXiv.
- Einstein's E = mc^2 derivable from Heisenberg's Uncertainty Relations,
-
I like this computer. It generates both quantum mechanics and
special relativity.
How did he talk to Einstein? - copyright@2021 by Y. S. Kim, unless otherwise specified.
- Click here for Y. S. Kim's home page.
- His organization of research.
- His Einstein page.
- His Princeton page.
- His style page.
- Awards and Recognitions
- The photo of Dirac and Feynman is from the Caltech Photo Archive. This photo was taken by Marek Holzman during the International Conference on Relativity Theory of Gravitation in Warsaw (Poland) on July 25-31 1962, organized by Leopold Infeld. The image of Jesus and Nicodemus is from "The Picture Bible" (David C. Cook Publishing Co., Elgin, Illinois, U.S.A., 1978).
- It was like the anwer Nicodemus got from Jesus. Nicodemus a Pharisee (upper-class Jewish man) unhppy with what was happening in his environment and went to Jesus for wisdom, but he got the anwer totally strange to him.