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The Mechanics of Gradients

How Nature Operates at Every Level

The Mechanics of Gradients - book cover
Project Status

Writing Completed – Now in Presentation Editing – Book Coming Soon.

The companion volume to The Mechanics of Mechanics.

Table of Contents

From the manuscript in presentation editing. Titles may still change.

Front Matter

  • Dedication
  • Foreword
  • Scope
  • The Machinery

1. From Strength to Operation

  • The Bridge from MoM
  • A Note on Attraction (from MoM)
  • The Law of Time
  • The Law of Direction
  • The Conscription of Everything
  • The Gradient Types

2. Repetition and Ratio

  • The Principle of Repetition
  • Law 1. The Universal Law of Attractive and Repulsive Repetition

3. Frequency and Rate

  • Law 2. The Universal Law of Attractive and Repulsive Frequencies
  • 2a. Mini Law of Attractive Direct Competitive Frequency
  • 2b. Mini Law of Repulsive Direct Competitive Frequency
  • 2c. Mini Law of Inverted Competitive Frequency
  • 2d. Interrelated Frequency and Rate Combination Effects of Attraction and Repulsion
  • 2e. Superior Associations
  • Wavelength and Amplitude in Human Terms
  • Modeling Complex Interactions
  • Law 3. The Universal Law of Attractive and Repulsive Rates
  • 3a. Mini Law of Attractive Direct Competitive Rate
  • 3b. Mini Law of Repulsive Direct Competitive Rate
  • 3c. Mini Law of Inverted Competitive Rate
  • Law 4. The Universal Law of Attractive and Repulsive Frequency and Rate Relations

4. Balance and Imbalance over Time

  • Law 5. The Universal Law of Equally Opposing Frequencies and Rates
  • Mini Laws of Equally Opposing Frequencies and Rates
  • Law 6. The Universal Law of Unequally Opposing Frequencies and Rates
  • Mini Laws of Unequally Opposing Frequencies and Rates
  • The Principle of Resolution

5. Activation, Termination, and Transition

  • Law 7. The Universal Law of Attractive Termination and Repulsive Activation
  • Law 8. The Universal Law of Repulsive Termination and Attractive Activation

6. Accumulation, Dissipation, and Maintenance of Frequency and Rate

  • Law 9. The Universal Law of Accumulation
  • Corollary 9.1. Amplitude Feeds Repetition
  • Law 10. The Universal Law of Dissipation
  • Corollary 10.1. Amplitude Resists Dissipation
  • Corollary 10.2. The Universal Law of Decay (Friction)
  • Law 11. The Universal Law of Maintenance
  • Law 12. The Universal Law of Ceiling Release

7. Hierarchy, Proximity, and Scales in Motion

  • Law 13. The Universal Law of Hierarchy
  • Law 14. The Universal Law of Hierarchical Nullification
  • The Scale of Resistance
  • Variations of Choice
  • The Scale of Altruism

8. Gradients in Life and Mind

  • Law 15. The Universal Law of Natural Selection (Gradient Form)
  • How Field Gradients Shape the Forms of Life
  • Law 16. The Universal Law of Convergence and Divergence
  • The Psychology of Gradients
  • Coordination and Reward

Appendix A. Formal Notation

  • Formal statements of the laws, corollaries, and mini-laws (Appendices 1 to 16)