- 1 Special Relativity
- 1.1 Basic Observables
- 1.2 Minkowski Metric
- 1.3 The Power of Symmetry - Lorentz Transformation
- 1.4 Spread of Information
- 1.5 Proper Measurements
- 1.6 Velocities Transformation
- 1.7 Closing Insights
- 1.8 Appendix - Relativistic Energy & Momentum
- 2 Gravity & Black Holes
- 2.1 Natural Units
- 2.2 Schwarzschild Metric
- 2.3 Spacetime Curvature & Black Holes
- 2.4 Event Horizon & Singularity
- 2.5 Light Trajectories - Gravitational Lensing & Einstein Rings
- 2.6 Information Paradox - Entropy & Hawking Radiation
- 2.7 Gravitational Waves
- 2.8 Summary
- 3 Mathematical Toolbox
- 3.1 Basic Operands, Conventions, Units
- 3.2 Pythagorean Theorem
- 3.3 Taylor Series Expansion
- 3.4 Integrals
- 3.5 Derivatives & Variations
Relativity and Black Holes
An Intuitive Introduction to the Physics of Spacetime
The act of measurement has always felt somewhat controversial. However, intuition begins to falter when entering the realm of relativity - structures stretch in various directions, and time frequently slows under the influence of high speeds and gravity. And what exactly happens near a black hole? While these questions may initially seem absurd or overwhelming, they are gradually unpacked and clarified throughout this work. Nature has provided us with a vast picture to comprehend; this booklet offers a comprehensive overview to make its key ideas more approachable.
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The act of measurement has always felt somewhat controversial. However, intuition begins to falter when entering the realm of relativity - structures stretch in various directions, and time frequently slows under the influence of high speeds and gravity. And what exactly happens near a black hole? While these questions may initially seem absurd or overwhelming, they are gradually unpacked and clarified throughout this work. Nature has provided us with a vast picture to comprehend; this booklet offers a comprehensive overview to make its key ideas more approachable.
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In this booklet, I present a broad overview of special relativity and gravity, focusing on its greatest natural phenomenon - black holes’ effect on time and space. The goal is not to equip the reader with a proficient understanding of general relativity, but to expose them to the counter-intuitive thinking process uniquely attributed to physics. While the content is primarily tailored for readers who are unfamiliar with the subject, it may also offer fresh perspectives for those already invested in or professionally engaged with the field. To establish a general comprehension, mathematical tools are included and made as accessible as possible. All discussions are highly simplified, yet aim to introduce the right amount of intuition.
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Yuval Rosen
Practicing physicist at the Technion – Israel Institute of Technology. Experienced in education, applying artistic vision and creative learning to modern scientific concepts.
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