MPP

      • 📐 Mħπ Specification

    The Mulein-Planck-Pi (Mħπ) is a symbolic math system grounded in fundamental physical and mathematical constants.

    ✳️ Core Postulates

    1. Symbolic Foundation: All mathematics avoids base-10 and binary numerals. Expressions are symbolic and expressed in terms of fundamental constants like π and P (Planck Length).
    2. Informational Mass: Mass [M] is not a fundamental dimension. It is a derived quantity representing a rate of information flow, with the dimension [M] = [Ω][T]⁻¹, where [Ω] is Information and [T] is Time.

    ✏️ Symbolic Constructs

    Constants

    • π: The mathematical constant pi
    • P: Planck length
    • ħ: Reduced Planck Constant
    • c: Speed of Light

    Derived Symbols

    • τ = P/c: Planck time
    • Area = πP²
    • Circumference = 2πP

    Expression Tree

    All symbolic constructs are represented by the SymbolicExpr enum in src/expr.rs.

    📘 Modules

    Module Description
    expr.rs Core symbolic data types (the AST).
    simplify.rs Rewrite rules for symbolic simplification.
    dimensions.rs Engine for dimensional analysis based on informational mass.
    calculus.rs Symbolic differentiation and integration.
    tensor.rs Tensor algebra and automated GR calculations.
    quantum.rs Quantum operators and state representation.
    tex_parser.rs Parser for the MPP-TeX language.
    gauge.rs Support for gauge transformations, connections, and covariant derivatives.
    algebra_structure.rs Verification of algebraic domain properties.
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