Index

 

📖 Index of Blog Posts

A collection of mathematical explorations, physics concepts, and engineering principles by Michael Lewis.

🔹 Data Communication & Information Theory

1. Cavemen, Carriers, and Cadence: The Fundamentals of Data Communication

📅 Feb 20, 2025
A story-driven explanation of data transmission, inspired by two ancient tribes using a giant Newton’s Cradle to communicate. Covers principles of signals, modulation, and error correction—connecting the past to modern networks, cables, and Wi-Fi.

🔹 Pythagorean Curvature Correction Theorem (PCCT)

2. Using Pythagorean Curvature Correction Theorem to Model the Dynamics of CLPP

📅 Feb 19, 2025
Applies PCCT to model the behavior of Closed Loop Pulse Propulsion (CLPP), linking geometry to motion dynamics.

3. Deep Dive into How to Reverse a Square Root with the Pythagorean Curvature Correction Theorem

📅 Feb 19, 2025
Investigates techniques to invert square root functions using PCCT and its implications for number systems and geometry.

4. Reversing the Square Root with the Pythagorean Curvature Correction Theorem

📅 Feb 19, 2025
Another approach to understanding square root reversal through PCCT, refining previous findings.

5. How the Pythagorean Curvature Correction Theorem Differs from the Unified Pythagorean Theorem

📅 Feb 18, 2025
Explores differences between PCCT and the traditional Pythagorean Theorem, especially in curved space.

6. Pythagorean Curvature Correction Theorem: A New Pythagorean Tool for a Curved World

📅 Feb 18, 2025
Introduces PCCT as a novel way to correct traditional Pythagorean relationships in non-Euclidean spaces.

🔹 The Lewis Ratchet & Propulsion Mechanics

7. The Lewis Ratchet: Shifting Frames Without Violating Conservation Laws

📅 Feb 19, 2025
Explores how the Lewis Ratchet allows frame shifts without breaking conservation laws, providing insights into momentum transfers.

8. The Lewis Ratchet: Forward Asymmetric Momentum Transfer

📅 Feb 7, 2025
Introduces the core principle of the Lewis Ratchet, which generates net motion through asymmetric internal mass shifts.

9. The Lewis Ratchet Redeux: The Lewis Ratchet in Space

📅 Feb 8, 2025
Discusses how the Lewis Ratchet functions in a frictionless environment like space.

10. Experimenting with the Lewis Ratchet and a Physics Simulator

📅 Feb 9, 2025
Simulating the Lewis Ratchet’s behavior in different conditions using a physics engine.

11. Exploring the Lewis Ratchet in Python - Axiomatic Proof

📅 Feb 10, 2025
A mathematical and computational proof of the Lewis Ratchet’s mechanics, using Python for verification.

12. A Full Exploration of the Dynamics of the Lewis Ratchet: Hamiltonian, Lagrangian, Banach Space, and Vector Analysis

📅 Feb 16, 2025
An advanced mathematical breakdown of the Lewis Ratchet using physics principles such as Hamiltonian and Lagrangian mechanics.

🔹 The Lewis Sieve & Number Theory

13. The Lewis Sieve Factorization

📅 Feb 17, 2025
An extension of the classical Sieve of Eratosthenes, improving efficiency in factorization by retaining structural information.

14. The Lewis Sieve Thesis

📅 Feb 14, 2025
A formal presentation of the Lewis Sieve’s core properties and mathematical foundations.

15. The Lewis Sieve 2.0

📅 Feb 14, 2025
An optimized version of the Lewis Sieve, enhancing computational efficiency.

16. The Lewis Sieve: First Complicated Attempts... Now Defunct

📅 Feb 13, 2025
Early failed attempts at constructing the Lewis Sieve, providing insight into iterative problem-solving in number theory.

17. Factor Any Number by Sieving Every Number Around It

📅 Feb 15, 2025
An exploration of using local sieving techniques to extract factors of any number more efficiently.

🔹 Closed Loop Pulse Propulsion (CLPP)

18. Closed Loop Pulse Propulsion

📅 Feb 13, 2025
Introduces the CLPP concept, a propulsion system that generates continuous motion through internal energy redistribution.

🔹 Nonlinear Number Factorization (NLN)

19. NLN Factorization: Simpler Idea

📅 Feb 13, 2025
A streamlined approach to factorization using Nonlinear Number (NLN) dynamics.

20. NLN Factoring - An Extension of Binary Energy Dynamics

📅 Feb 12, 2025
Explores NLN in the context of binary energy principles for more efficient computational number factoring.

🔹 Binary Energy Dynamics

21. Binary Energy Dynamics - Numbers in a Register

📅 Feb 11, 2025
Discusses a new way to represent and manipulate numbers using binary energy principles.

🔹 Fundamental Physics & Gravity

22. Gravity: The Established Science

📅 Feb 19, 2025
Breaks down gravity’s established theories, contrasting classical and modern physics perspectives.

🔹 Final Thoughts

This index organizes all posts into distinct themes:

  1. Data Communication & Signals
  2. Pythagorean Theorem Extensions
  3. Mechanical Propulsion (Lewis Ratchet & CLPP)
  4. Advanced Number Theory (Lewis Sieve & NLN)
  5. Binary Energy & Fundamental Physics

It serves as an entry point for new readers and a quick reference guide for ongoing projects. 


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