MPP

🧠 Mħπ for Dummies

A simple guide to the Mulein-Planck-Pi symbolic engine.

So, What is Mħπ?

Imagine you have a calculator, but instead of using numbers like 1, 2, or 3.14, it uses the fundamental building blocks of the universe itself. That’s Mħπ.

In short, Mħπ is not a better calculator; it’s a new way to reason about physics.

The Big Idea: Mass is Just Information Flow

This is the core concept that Mħπ was built to test. We usually think of mass (how “heavy” something is) as a fundamental property of matter.

Mħπ explores a radical idea: What if mass is actually a measure of information flowing over time?

Think of it this way: a more massive object, like a planet, isn’t just “heavier.” In this new model, it’s the source of a higher rate of information. Its gravitational pull is a consequence of this information flow.

The main goal of the Mħπ project is to take this wild idea and see if it breaks physics as we know it. (Spoiler: It doesn’t!)

What Has Mħπ Proven So Far?

The most exciting part of Mħπ is what it has already managed to prove symbolically. It’s not just a theoretical toy; it’s a validation engine.

  1. The “Mass is Information” Idea Works: Mħπ’s test suite acts as a machine-assisted proof, showing that this new foundation is mathematically sound and perfectly compatible with the known laws of physics.
  2. It Can Automate General Relativity: We can give the Mħπ engine the mathematical description of a black hole (the Schwarzschild metric). The engine then automatically works through the complex tensor calculus to prove that it is a valid solution to Einstein’s equations. This is something that would take a human physicist pages of calculations to do by hand.
  3. It Understands Quantum Mechanics: The engine correctly handles the weird, non-commutative rules of the quantum world. For example, it can simplify the complex math of quantum fields and has successfully proven the relationship between the Dirac equation and the Klein-Gordon equation, a cornerstone of relativistic quantum mechanics.
  4. It’s a “Fact-Checker” for Physics Equations: Mħπ has a built-in “dimensional analysis” engine. It automatically checks equations to make sure they make physical sense (you can’t add a meter to a second, for example). It has used this to verify the dimensional consistency of dozens of fundamental formulae, from the Schrödinger Equation to the Hawking Temperature of a black hole.
  5. It Can Derive the Dirac Equation: By applying the Euler-Lagrange equations to the Quantum Electrodynamics (QED) Lagrangian, the engine can automatically derive the Dirac equation. This is a graduate-level physics proof, performed symbolically, showing the engine understands the fundamental connection between field theory and the equations that govern particles like electrons.

How Do I Use It? A Quick Start

You don’t need to be a Rust programmer to see Mħπ in action. The tests themselves are the demonstration.

  1. Get the Code:

First, you’ll need to have git and rust installed on your system. Then, open a terminal and run:

git clone https://github.com/Digital-Defiance/MPP.git
cd MPP
  1. Run the Proofs:

The best way to see what Mħπ can do is to run its test suite. Each test validates a specific physical law or mathematical property.

cargo test

You will see a stream of output showing each test passing, like test_schwarzschild_vacuum_solution ... ok. Each “ok” is the engine successfully proving a piece of physics or mathematics from first principles.

What Does Writing Physics in Mħπ Look Like?

Mħπ uses a language inspired by TeX called MPP-TeX. Here’s a simple example:

// Let's define the area of a circle
\let r := 5       // r is a variable with value 5
\let A := \pi r^2  // A is pi times r-squared

// Now, let's find the rate of change (derivative) of the area with respect to the radius
\derive{A}{r}

When the engine runs this, it doesn’t just calculate 3.14 * 25. It symbolically solves the derivative of πr² to get the exact answer: 2πr. Then, if you wanted a number, it would substitute r=5 to get 10π. It always keeps the perfect symbolic form.

Why Does This Matter?

Mħπ isn’t designed to make your homework faster. It’s a research tool for physicists to ask deep “what if” questions about the universe.

By proving that a radical idea like “mass is information” is mathematically consistent with everything we know, Mħπ opens the door to new avenues of research and new ways of thinking about the fundamental nature of reality.