
INDEX VOLUME I
0. FORGOTTEN PHYSICS
0.0- Nature in rotation
0.1- Aporia
0.2- Conjectures
0.3- A new and incredible rotational dynamics
0.3.0- Dynamic reactions
0.3.1- Content
1. THE THEORY OF RELATIVITY
1.0- Special relativity
1.1- General relativity
1.2- Rotational dynamics
1.2.0- Relativistic rotation
1.2.1- Gravity Probe B Relativity Experiment
1.2.2- Rotational metrics
1.2.3- Effects associated with space rotation
1.3- Inertial and gravitational masses
2. CLASSICAL MECHANICS
2.0- Paradoxes
2.1- Basic principles and concepts
2.1.0- Concepts
2.1.1- Equations of motion
2.1.2- Angular momentum
2.1.3- Moment of inertia
2.1.4- Definition of loads
2.1.5- Degrees of freedom
2.2- Historical study of inertia and rotation
2.2.0- Inertia and movement
2.2.1- Concept of inertia
2.2.1.0- The criterion of René Descartes
2.2.1.1– Inertia according to Newton
2.2.1.2- Einstein’s concept of inertia
2.2.2- Rotational inertia
2.2.3- Composition of movements
2.2.4- Circular movement and centrifugal force
2.2.5- Rotation
2.2.6- The principle tendency rotation axes towards parallelism
2.2.7- A study of the rotation of bodies
2.2.8- Principle of Superposition
2.2.9- Applicable algorithms
2.2.9.0- Conjectures on angular displacement
2.2.9.1- Algebraic law of vector addition
2.2.9.2- Vector commutation law.
2.2.10- Rotation representation systems
2.3- Analytical mechanics
2.4- Mathematical analysis of a hypothesis
2.4.0- Reference frameworks
2.4.1- The Newton-Euler method
2.4.2- The Lagrange method
2.4.3- The Hamiltonian method
2.4.4- Summary of our analysis
2.4.5- Resolution of equations
2.5- Dynamics of the rotation of bodies
2.5.0- Signs
2.5.1- Dynamic behavior
2.5.2- Dynamic interaction momentum
2.5.3- Interpretation of the dynamic interaction torque
2.6- Fictitious force
2.7- The coupling of angular momentum
2.8- Orientation
2.8.0- Instantaneous axis of rotation
2.9- Signs of new dynamic hypotheses
2.9.0- Adding angular momenta
2.9.1- Signs of dynamic interactions
2.9.2- New dynamic hypotheses
3. EXPERIMENTAL TESTS.
3.0- Initial tests.
3.1- Tests in space
3.2- Analysis of the behavior of solid objects
3.3- Final tests
3.3.0- Final tests: Prototype I
3.3.1- Final tests: Prototype II
3.4- Analysis of the results.
3.5- Other tests
3.5.0- Experiment details
3.5.1- Results of the tests
3.6- Conclusions after the tests
4. REINTERPRETATION OF THE BEHAVIOR OF BODIES
4.0- Sequential diagram
4.1- Composition of movements
4.1.0- Quantity of movement
4.1.0.0- Distributions of linear velocities
4.1.0.1- Distributions of accelerations
4.1.0.2- Distributions of forces
4.1.0.3- Analysis conclusions
4.1.1- Solid body with fulcrum
4.1.2- A solid in space
4.1.2.0- Uniform translation movement
4.1.2.1- Movement coupling
4.1.3- Variable velocity
4.1.4- Conclusions
4.2- Dynamic equilibrium
4.3- Physical-mathematical model
4.3.0- Mathematical analysis
4.3.1- Space reference
4.3.2- Impact of interaction torque and mathematical operator
4.4-Inertial reactions
4.5- Deduction
4.5.0- Relativistic deduction
4.5.1- Rational deduction
4.5.2- Confirmed conceptual model
4.6- Energetic balance
4.7- Dynamic behavior
4.7.0- Initial conditions
4.7.1- External actions
4.7.2- Action times
4.7.3- External successive actions
4.8- Comments
5. GENERAL THEORY OF MECHANICS
5.0- General hypothesis
5.0.0- New concepts
5.0.1- Dynamic axioms
5.0.2- Logical structure
5.1- General Theory of Dynamic Interactions (GTDI)
5.2- The theory of dynamic interactions (TDI)
5.3- Principles and axioms of rotational dynamics
5.4- The equation of motion
5.4.0- Equation deduction
5.4.1- Orbital movement
5.5- Physical-Mathematical paradigm
5.6- Mathematical simulation
5.7– In search of a new canon
5.8– Consistency with classical mechanics
EPILOGUE TO VOLUME I
ACKNOWLEDGEMENTS
ANNEXES
- BIBLIOGRAPHY CONSULTED BY THE AUTHOR
- IBIBLIOGRAPHY AND REFERENCES TO TDI
- EXPERIMENTAL TESTS AND VIDEOS
- VIDEO SCRIPTS
- ANIMATIONS