- #1
long_yaya
- 0
- 0
- How did you find PF?
- Zenodo, Google
Hello everyone, I'm Dickinson.
Glad to join the PF community. I am an amateur of mathematics and physics, and I spend much spare time studying classic textbooks intensively.
** My Persistent Learning Style
I have long been accustomed to deriving formulas independently without referring to books.
In middle school, I figured out the change-of-base formula for logarithms by myself. In high school, I derived Taylor expansion conversely based on physical motion principles. During university years, I worked out the mass-energy equation using differential methods. Old yellowed handwritten notes are attached here.
This rigorous derivation habit has stayed with me for over two decades. It may seem inefficient, yet it forms my unique way of learning.
** Drawn to the Great Unsolved Puzzle
I have lately studied researches on the fine-structure constant by Dirac, Feynman and Pauli. They regarded this constant as a profound cosmic mystery that puzzled them throughout their careers.
I cannot help wondering what special nature this constant possesses to perplex such outstanding physicists.
** Current Exploration & Expectation
I attempt to interpret this constant with the elegant mathematical tools of differential geometry and geometric algebra. I fully acknowledge my limited knowledge and often get stuck in complicated deductions. I merely explore this field as a curious learner.
I will observe discussions in the group. Kind guidance will be highly appreciated if I put forward naive questions and avoid misleading thinking.
Best regards to all researchers.
Dickinson Long
Glad to join the PF community. I am an amateur of mathematics and physics, and I spend much spare time studying classic textbooks intensively.
** My Persistent Learning Style
I have long been accustomed to deriving formulas independently without referring to books.
In middle school, I figured out the change-of-base formula for logarithms by myself. In high school, I derived Taylor expansion conversely based on physical motion principles. During university years, I worked out the mass-energy equation using differential methods. Old yellowed handwritten notes are attached here.
This rigorous derivation habit has stayed with me for over two decades. It may seem inefficient, yet it forms my unique way of learning.
** Drawn to the Great Unsolved Puzzle
I have lately studied researches on the fine-structure constant by Dirac, Feynman and Pauli. They regarded this constant as a profound cosmic mystery that puzzled them throughout their careers.
I cannot help wondering what special nature this constant possesses to perplex such outstanding physicists.
** Current Exploration & Expectation
I attempt to interpret this constant with the elegant mathematical tools of differential geometry and geometric algebra. I fully acknowledge my limited knowledge and often get stuck in complicated deductions. I merely explore this field as a curious learner.
I will observe discussions in the group. Kind guidance will be highly appreciated if I put forward naive questions and avoid misleading thinking.
Best regards to all researchers.
Dickinson Long
Last edited by a moderator: