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Chapter One **The
Physical Reality of Length Contraction**

1.1 Introduction

1.2 Mass-Energy
Conservation at a Macroscopic Scale

1.3 Mass-Energy
Conservation at a Microscopic Scale

1.4 Mass Loss
of the Electron

1.5 Change of
the Radius of the Electron Orbit

1.6 Change of
Energy of Electronic States

1.7 Experimental
Measurements of Length Dilation in a Gravitational Potential

1.7.1 Pound
and Rebka’s Experiment

1.7.2 The
Solar Red Shift

1.8 The
Crucial Influence of the Electron Mass on the Fundamental
Laws of Relativity

1.9 References

1.10 Symbols
and Variables

Chapter Two **Transformation
of Excitation Energy between Frames**

2.1 Introduction

2.2 Difference
between Time and What Clocks Display

2.3 Description
of the Reference Time Rate

2.4 Description
of the Reference Meter

2.5 Definition
of the Velocity of Light

2.6 Need of
Parameters with a Double Index

2.7 Apparent
Lack of Compatibility for Fast Moving Particles

2.8 Demonstration
of the Energy Relationship between Systems

2.9 Relative
Frequencies between Systems

2.10 Cases of
Relevance of the Relationship h_{v} = gh_{s}

2.11 Symbols
and Variables

Chapter Three **Demonstration
of
the
Lorentz
Equations
without
Einstein's
Relativity
Principles**

3.1 Fundamental
Physical Principle

3.2 Change of
Energy and Bohr Radius Due to Kinetic Energy

3.3 The
Lorentz Equation for Time

3.4 Length
Dilation Due to Kinetic Energy

3.5 The
Lorentz Transformation for Lengths

3.5.1 Apparent
and Absolute Time

3.5.2 Relationship
between
Velocities V and V'

3.5.3 Relative
Velocities within Systems

3.5.4 Lorentz's
Second Relationship

3.6 Constant
Velocity of Light within Any Frame of Reference

3.7 Non-Reality
of Space Dilation, Contraction or Distortion

3.8 Transformation
of Units in Different Frames

3.9 Failure of
the Reciprocity Principle

3.10 References

3.11 Symbols
and Variables

Chapter Four **Fundamental
Nature
of
the Mechanism Responsible for the Advance of the
Perihelion of Mercury**

4.1 Definition
of the Absolute Standard Units [o.s.]

4.2 The
Absolute Reference Meter

4.3 The
Absolute Reference Second

4.3.1 Example

4.3.2 Relative
Clock Displays between Frames

4.4 The
Absolute Reference Kilogram

4.5 Space and
Time Corollaries within the Action-Reaction Principle

4.6 Fundamental
Mechanism Taking Place in Planetary Orbits

4.6.1 Significance
of
Units in an Equation

4.7 Transformations
of
Units

4.7.1 a_{M}(o.s.)
versus a_{M}(M)

4.7.2 M(__S__)(o.s.)
and M(__M__)_{M}(o.s.) versus M(__S__)(M) and
M(__M__)_{M}(M)

4.7.3 P_{M}(o.s.)
versus P_{M}(M)

4.7.4 G(o.s.)
versus G(M)

4.7.5 F(o.s.)
versus F(M)

4.8 Symbols
and Variables

Chapter Five **Calculation
of
the
Advance of the Perihelion of Mercury**

5.1 Mathematical
Transformation of Units between Frames

5.1.1 Consequence
of
a Simple Change of Units

5.2 Physical
Transformations Due to Mass-Energy Conservation

5.3 Incoherence
between Outer Space and Mercury Predictions Using Newton's
Physics

5.4 Incoherence
of the Gravitational Force Using Newton's Physics

5.5 Relevant
Physical Parameters

5.6 Fundamental
Phenomena Responsible for the Advance of the Perihelion of
Mercury

5.7 Change of
Length from Outer Space to Mercury Location

5.8 Change of
Clock Rate from Outer Space to Mercury Location

5.9 Total
Interaction Due to the Physical Changes of Length and Clock
Rate

5.10 Correction
for an Elliptical Orbit

5.11 Mathematical
Identity
with
Einstein’s Equation

5.12 References

5.13 Symbols
and Variables

Chapter Six **Geometrical
Illustration
of
the Advance of the Perihelion of Mercury**

6.1 Conditions
Controlling the Geometrical Shape of an Orbit

6.2 The Change
of Mass of Mercury

6.3 Orbital
Shapes and Gravitational Force Gradients

6.4 Identity
of Mathematical Forms

6.5 Illustration
of Trajectories in Potential Wells

6.6 Validity
of the Classical Model

6.7 References

6.8 Symbols
and Variables

Chapter Seven** The
Lorentz Transformations in Three Dimensions**

7.1 Basic
Principles of a Transformation

7.2 The
Lorentz Transformations

7.3 The
Equations

7.4 Symbols
and Variables

Chapter Eight **The
Doppler Effect**

8.1 Fundamental
Principles of the Doppler Effect

8.2 Mass-Energy
Conservation in the Context of the Doppler Effect

8.3 The
Doppler Effect without Using Waves

8.4 References

8.5 Symbols
and Variables

Chapter Nine **Simultaneity
and Absolute Velocity of Light**

9.1 Simultaneity
versus Identical Clock Displays

9.2 Thought
Experiment on Clocks Synchronization

9.3
Synchronization of Clocks A and B

9.3.1 Method
#1

9.3.2 Method
#2

9.4 Loss of
Synchronization of Clock aon the
Moving Frame

9.5
Synchronization between Moving Clocks a
and b (Method #1)

9.6 Asymmetric
Relative Velocity of Light

9.7
Synchronization of Clocks a and
b (Method #2)

9.8 References

9.9 Symbols
and Variables

Chapter Ten **The
Principle of Equivalence**

10.1 Introduction

10.2
Deflection of Light in an Elevator Moving at Constant
Velocity

10.3 Inertial
versus Gravitational Acceleration of Masses

10.4
Bremsstrahlung Due to Inertial and Gravitational
Accelerations

10.5 Behavior
of Light

10.5.1
Light Path in an Accelerated Elevator

10.5.2
Light Path in a Gravitational Field

10.5.3 The
Equivalence Principle and Light Deflection

10.6
Gravitational Lenses

10.7
Attracting Force between Parallel Beams of Charged Particles

10.8 References

Chapter Eleven** Internal
Phenomena
inside
Atoms**

11.1 Introduction

11.2 Transformations
inside
Fast Moving Atoms

11.3 Electric
Potentials

11.4 Sommerfeld
Fine Structure

11.5 Atomic
Structure inside Free Falling Atoms

11.6 High
Potentials and Higher Order Terms

11.7 References

11.8 Symbols
and Variables

Chapter Twelve** On
the Formation of Pseudo Black Holes**

12.1 Formation
of a Protostar

12.2 Mass-Energy
Conservation
in a Cluster of Atoms

12.3 Mass of
a Star versus the Amount of Matter Used for Its Formation

12.4 Mass of
a Star versus Its Radius

12.5 Maximum
Mass of a Star versus Its Radius

12.6 Complete
Transformation of Mass into Energy

12.7 Proper
Values in Extreme Gravitational Potentials

12.8 Beyond
the Extreme Gravitational Potential

12.9 Formation
of Matter in a Deep Gravitational Potential versus the
Formation of Matter and Anti-Matter

12.9.1 Inverse
Gravitational Mechanism

12.10 References

Appendix I **The
Dependence of the Size of Matter on Electron Mass**

Appendix II **The
Deflection of Light by the Sun's Gravitational Field: An
Analysis of the 1919 Solar Eclipse Expeditions**

*
Note:
This
Appendix II has been published in a more complete form
more recently.*

*
Please, refer to the paper:*

**
Relativistic Deflection of
Light Near the Sun Using Radio Signals and Visible Light**

Appendix III Physical Constants

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