The Mathis Number System: An Exploration

An alternative mathematical framework

Introduction

The Mathis Number System is an alternative mathematical framework developed by Dr. Theo Mathis to incorporate the principles of duality. This system redefines traditional mathematical concepts by viewing numbers and operations through the lens of duality, offering innovative approaches to solving complex problems. Here's an exploration of its key features, principles, and applications.

Core Principles

1. Dual Numbers:

   • Definition: In the Mathis Number System, each number is represented as a pair (a, b), where 'a' and 'b' are complementary aspects of a single entity. These pairs reflect the inherent duality in all quantities and operations.

   • Notation: A dual number is denoted as D=(a,b)

     \(D=(a,b).\)

2. Dual Operations:

   • Addition: The addition of dual numbers is defined as (a,b)+(c,d)=(a+c,b+d)

     \((a,b)+(c,d)=(a+c,b+d)\)

   • Subtraction: The subtraction of dual numbers is (a,b)−(c,d)=(a−c,b−d)

     \((a,b)−(c,d)=(a−c,b−d)\)

   • Multiplication: Multiplication is defined to reflect the interaction of dual aspects: (a,b)×(c,d)=(ac,bd)

     \((a,b)×(c,d)=(ac,bd)\)

     This operation emphasizes the produc…