general-relativity

Study Notes on General Relativity

• Study Notes on General Relativity
  • What I Stumbled Upon on the Study of General Relativity
  • How to Compile Study Notes
    • Setup
    • Getting Study Notes Source Code
    • Compiling Notes
  • Resources on General Relativity
    • Black Holes
    • Gravitational Wave
    • Python Libraries
  • LaTeX Resources
  • License

The mysterious connection between Quantum and Astrophysics through black hole’s Singularity keeps my curiosity high every day, which is why I spend time on studying General Relativity. Not only that, those who master General Relativity or Physics in general has their best advantage to learn and analyze Business or Technical problems in a systematic, logical, and correct way as well. I, hereby, present my ongoing effort of Study Notes on General Theory of Relativity, the Math behind our universe

What I Stumbled Upon on the Study of General Relativity

• Nothing comes up in its final form on its first rendering. There must be iterations of corrections and improvements before we are able to show the world something really fascinating. For example, I made several conceptual mistakes on Einstein’s Special Relativity paper on its first read and was forced to come back to it several times before I came very close to what Einstein was really talking about. I believe Tesla, Apple, Google, or many great organizations never shows up from nothing. Their founders must have gone through phases of growth and practice before reaching that peak!
• The most perfect theory (Electromagnetism) didn’t start with the most logical philosophical inquiry but through earth-touching experiments (Faraday on Experimental researches in electricity)

How to Compile Study Notes

Setup

1. Install Tex Live (version ≥ 2021)

2. Download and install Ubuntu Font. For instructions on how to install a new System font please refer to the following links:

   • Linux users shall consult this thread
   • Mac users can follow this Apple support

3. Make sure GNU Make is installed with

   make --version
   

   which, when installed, outputs something like this

   GNU Make 3.81
   Copyright (C) 2006  Free Software Foundation, Inc.
   This is free software; see the source for copying conditions.
   There is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A
   PARTICULAR PURPOSE.
   
   This program built for i386-apple-darwin11.3.0
   

   make should be installed in almost every Linux distribution and Mac user can install via brew install make

Getting Study Notes Source Code

git clone https://github.com/QubitPi/general-relativity.git
cd general-relativity

Compiling Notes

[!NOTE] Please be patient as the compilation takes some time

make

You now have my love of Physics located at ./study-notes.pdf

Resources on General Relativity

• 
• General relativity for babies

Black Holes

• black-holes.org
• LIGO

Gravitational Wave

1. How are gravitational waves created and measured?
2. How can a gravitational-wave signal be used to measure the mass and distance of its source?
3. Gravitational Wave Fitter mentioned in the 2 videos above (Source Code)
4. Gravitational Wave Quickview App
5. Discover, read, and plot gravitational wave data

Python Libraries

• Astropy
• GwPy
• PyCBC

LaTeX Resources

• LaTeX math equation online editor
• QuickLaTeX.com - Instant math equation syntax checker and sharing via image online
• MacTeX - LaTeX comes with various installation packges, some are minimized versions. The comprehensive package is MacTeX
• CTAN - The “Maven Central” for LaTeX
• texlive package manager - Installing a LaTeX package. e.g. sudo tlmgr update --self && sudo tlmgr install pgfornament
• LaTeX showcase
• Cool Text Highlighting in LaTeX

License

The use and distribution terms for this book are covered by the Apache License, Version 2.0.

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