INDEX VOLUME I

INDEX VOLUME I 2018-04-03T12:38:19+00:00

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

  1. BIBLIOGRAPHY CONSULTED BY THE AUTHOR
  2. IBIBLIOGRAPHY AND REFERENCES TO TDI
  3. EXPERIMENTAL TESTS AND VIDEOS
  4. VIDEO SCRIPTS
  5. ANIMATIONS