Derive Like Crazy

By Balungi Francis

Since high school, I have been rebellious to how physics derivations are presented with difficult and confusing mathematical tools. I am not used to deriving physics laws using the same mathematical tools that our forefathers of physics used (the same found in various physics text books), which I find not only confusing to me but to the entire scientific community who are categorized as the "Silent Majority".  I try so much to tackle the problem from a different perspective without using calculus or differential geometry. I use basic math with simple algebra to arrive at the required proof.

 

This book is the culmination of nearly fifteen years of work that I have done to develop this derivation method. I had never expected it would take anything like as long, but I have discovered vastly more than I ever thought possible, and in fact what I have done now touches almost every existing problem in physics.

 

In the early years, I published some papers in the major scientific research journals which were well received but because they had become scattered, I resolved just to keep working quietly until I had finished, and was ready to present everything in a single coherent way. Two years later this book is the result. And with it my hope is to share what I have done with a wide range of scientists and non-scientists as possible.

 

And now that I have finished building the intellectual structure that I describe in this book, it is my hope that those who read these words can share in the excitement I have had in making the discoveries that were involved.

 

In this book you will learn to derive all the known laws of physics from first principles in your own way and fashion not taught in schools and colleges.

 

"Science should be fun"

• Language: English
• Publisher: Bill Stone Services
• Release date: Jul 4, 2021
• ISBN: 9781393883302

Balungi Francis

Balungi Francis was born in Kampala, Uganda, to a single poor mother, grew up in Kawempe, and later joined Makerere Universty in 2006, graduating with a Bachelor Science degree in Land Surveying in 2010. For four years he taught in Kampala City high schools, majoring in the fields of Gravitation and Quantum Physics. His first book, "Mathematical Foundation of the Quantum theory of Gravity," won the Young Kampala Innovative Prize and was mentioned in the African Next Einstein Book Prize (ANE).  He has spent over 15years researching and discovering connections in physics, mathematics, geometry, cosmology, quantum mechanics, gravity, in addition to astrophysics, unified physics and geographical information systems . These studies led to his groundbreaking theories, published papers, books and patented inventions in the science of Quantum Gravity, which have received worldwide recognition. From these discoveries, Balungi founded the SUSP (Solutions to the Unsolved Scientific Problems) Project Foundation in 2004 – now known as the SUSP Science Foundation. As its current Director of Research, Balungi leads physicists, mathematicians and engineers in exploring Quantum Gravity  principles and their implications in our world today and for future generations. Balungi launched the Visionary School of Quantum Gravity  in 2016 in order to bring the learning and community further together. It’s the first and only Quantum Gravity physics program of its kind, educating thousands of students from over 80 countries. The book "Quantum Gravity in a Nutshell1", a most recommend book in quantum gravity research , was produced based on Balungi's discoveries and their potential for generations to come. Balungi is currently guiding the Foundation, speaking to audiences worldwide, and continuing his groundbreaking research.

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DERIVE LIKE CRAZY

HOW TO DERIVE PHYSICAL LAWS WITH EASE

BALUNGI FRANCIS

Author of Quantum Gravity in a Nutshell1

https://www.balungifrancisbooks.com

Great Classical Physics books of all time:

https://www.provephysics.blogspot.com/

Copyright ©2021 Balungi Francis

Copyright ©2021Bill Stone Services

Balungi Francis asserts the moral right to be identified as the author of this work.

All rights reserved. Apart from any fair dealing for the purposes of research or private study or critism or review, no part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, or by any information storage and retrieval system without the prior written permission of the publisher.

TABLE OF CONTENTS

DEDICATION

PREFACE

1.Derivation of the formula for the energy density stored in electric fields

2. How to Prove Einstein Field Equations from First Principles

3. Derivation of Black hole Entropy law

Alternative Derivation of Black Hole Entropy (Part1)

Alternative Derivation of Black Hole Entropy (Part2)

4. Derivation of the Wiedemann-Franz law

5. Derivation of the Stefan-Boltzmann law

6. Derivation of the Chandrasekhar Mass Limit

7. Derivation of the Cosmological Constant

8. Derivation of the Proton Radius

9. Derivation of Newton’s Second Law of Motion

10. Derivation of Newton’s Law of Gravity

Alternative derivation of Newton’s law of gravity

11. Derivation of Coulomb force law

12. Derivation of the constant speed of light, the Photoelectric effect equation, the Compton Effect equation and the quantized energy of an atom

The Photoelectric Effect

The Compton Effect

Bohr’s Atomic Theory

13. Derivation of the Tully-Fisher relation

14. Derivation and Calculation of the Value of the Vacuum energy density

15. Determining the length scale at which the force of Gravity is strong between any two electrons

16. Proving the Existence of  Maximal Acceleration and Minimal Length in Quantum Gravity

Bibliography

Acknowledgments

About the Author

Glossary

DEDICATION

To my lovely mother Mukajjuna Annet, here is your Nobel Prize

To my wife W. Ritah for her constant feedback throughout and many long hours of editing,

To my sons Odhran and Leander,

To Carlo Rovelli, Lee Smolin, Neil deGrasse Tyson and Sabine Hossenfielder, I say thank you for your astonishing suggestions.

PREFACE

Since high school, I have been rebellious to how physics derivations are presented with difficult and confusing mathematical tools. I am not used to deriving physics laws using the same mathematical tools that our forefathers of physics used (the same found in various physics text books), which I find not only confusing to me but to the entire scientific community who are categorized as the Silent Majority.  I try so much to tackle the problem from a different perspective without using calculus or differential geometry. I use basic math with simple algebra to arrive at the required proof.

This book is the culmination of nearly fifteen years of work that I have done to develop this derivation method. I had never expected it would take anything like as long, but I have discovered vastly more than I ever thought possible, and in fact what I have done now touches almost every existing problem in physics.

In the early years, I published some papers in the major scientific research journals which were well received but because they had become scattered, I resolved just to keep working quietly until I had finished, and was ready to present everything in a single coherent way. Two years later this book is the result. And with it my hope is to share what I have done with a wide range of scientists and non-scientists as possible.

And now that I have finished building the intellectual structure that I describe in this book, it is my hope that those who read these words can share in the excitement I have had in making the discoveries that were involved.

In this book you will learn to derive all the known laws of physics from first principles in your own way and fashion not taught in schools and colleges.

Science should be fun

Balungi Francis

July, 4, 2021

1.Derivation of the formula for the energy density stored in electric fields

Prove that:

Where

= energy density stored in electric field

=permittivity of free space (though space is not empty)

=Electric field

From the energy time uncertainty principle, we deduce the Casimir force in this way,

Where is the reduced Planck constant

Considering two electrons separated by a distance R in a vacuum, the work done by a photon to move from one charge to the other is equivalent to the product of the force F applied and the distance R through which it moves (Analogous to the Capacitor and Casimir Plate illustration)

Therefore the force carried by the virtual photon (messenger particles) between the two charges is

But since the virtual photons move at a constant speed of light c in the vacuum in time between the electrons separated by a distance , inserting

The Casimir force is given as,

We notice that the force deduced above is similar to the gravitational force because it falls off as the inverse of the distance squared. Therefore it is attractive

From Maxwell equations, since a changing  electric field E produces a  magnetic B and vice versa then,

The force felt by an electron due to vacuum electromagnetic fluctuations then becomes,

Taking

Then

Where is the coupling constant which determines the strength of the