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Absolute Theory of Relativity and Parameterized Special Theory of Relativity and Noninertial Multirelativity

By Smarandache, Florentin

Book Id:WPLBN0002828077 Format Type:PDF (eBook) File Size:386.81 kb Reproduction Date:6/24/2013

Smarandache, F. (2013). Absolute Theory of Relativity and Parameterized Special Theory of Relativity and Noninertial Multirelativity. Retrieved from http://www.ebooklibrary.org/

Description
In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks.

Excerpt
Preface
(Many Relativities )
In the first chapter of this book we discuss Einstein’s thought experiment with atomic clocks: A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detected. The rocket’s movement and the light pulse’s movement are orthogonal. There is an observer in the rocket (the astronaut) and an observer on the earth. The trajectory of light pulse (and implicitly the distance traveled by the light pulse), the elapsed time it needs to travel this distance, and the speed of the light pulse at which is travels are perceived differently by the two observers {depending on the theories used in this book}.

Table of Contents
C O N T E N T S
Preface (Many Relativities): 7
Chapter 1.
On Einstein’s Thought Experiment with the Light Clocks: 19
1.1. Einstein’s Thought Experiment with the Light Clocks: 20
1.2. Relativistic Addition of Velocities: 23
1.3. Counter-Intuitive Results of the Relativistic Addition of Velocities: 23
1.4. Contradictory Results of the Relativistic Addition of Velocities: 24
1.5. Relativistic Addition of Superluminal Velocities: 26
1.6. Extension of Relativistic Formula for the Addition of Many Subluminal Velocities: 27
1.7. Generalization of Einstein’s Thought Experiment with the Light Clocks for Arbitrary Ultimate Velocity K: 35
1.8. Generalization of the Relativistic Addition Formula for Arbitrary Ultimate Velocity K: 37
1.9. Generalized Lorentz Factor: 39
1.10. Generalized Minkowski Norm: 39
1.11. Generalized Time Dilation: 39
1.12. Generalized Length Contraction: 40
1.13. Generalized Relativistic Momentum: 40
1.14. Generalized Energy: 40
1.15. The Generalized Total Energy: 40
1.16. Generalized Kinetic Energy: 41
Chapter 2.
A Hypothesis: There is No Speed Barrier in the Universe and One Can Construct Arbitrary Speeds: 42
2.1. Introduction: 43
2.2. Entangled Particles: 43
2.3. Scientific Hypothesis: 45
2.4. Open Question: 46
2.5. Future Possible Research: 46
Chapter 3.
Absolute Theory of Relativity (ATR): 48
3.1. Refuting Einstein’s Speed of Light Postulate: 49
3.2. About Inconsistent Theories: 54
3.3. No Relativistic Paradoxes in ATR: 55
3.4. Removing Lorentz Factor in ATR: 56
3.5. Physics Laws might not be the same in all Inertial Systems: 58
3.6. Linear Trajectories for Both Observers: 59
3.6.1. Orthogonal Trajectory Vectors: 54
3.6.2. Non-Orthogonal Trajectory Vectors and C as Ultimate Velocity: 59
3.6.3. Non-Orthogonal Trajectory Vectors and Arbitrary Ultimate Speed: 63
3.6.4. Non-Orthogonal Trajectory Vectors and Arbitrary Velocities: 63
Chapter 4.
Parameterized Special Theory of Relativity (PSTR): 65
4.1. PSTR Equation: 66
4.2. PSTR Elapsed Time Ratio τ (Parameter): 67
4.3. PSTR Extends STR, ATR, and Introduces Three More Relativities: 67
4.4. PSTRK Equation and Elapsed Time Ratio (Parameter) in SK Space: 69
4.5. PSTRK Extends STRK, ATRK, and Introduces Three More K-Relativities: 70
Chapter 5.
Accelerated Reference Frames: 72
5.1. Formulas of Kinematics for Constant Acceleration: 73
5.2. Gravitation and Constant Velocity of the Rocket: 73
5.3. Gravitation and Constant Acceleration of the Rocket: 77
5.4. Constant Accelerations and Oblique Direction Vectors: 80
5.5. Constant Accelerations with Zero Initial Velocity and Oblique Direction Vectors: 83
Chapter 6.
Noninertial Multirelativity: 85
6.1. Multirelativity with Nonconstant Acceleration and 3D-Curves: 86
6.2. Research Problems: 87
6.3. Example of Nonlinear 3D-Trajectories of the Particle and of the Reference Frames: 88
References: 91