Crate ppflib

Source
Expand description

§PPF (Physics-Prime Factorization) Library

A comprehensive Rust library implementing the Physics-Prime Factorization (PPF) mathematical framework for exploring quantum mechanics through number theory.

§Overview

The PPF framework extends classical number theory by treating -1 as a special “Sign Prime”, creating multiple valid factorizations for integers and enabling a number-theoretic model of quantum phenomena.

§Quick Start

use ppflib::prelude::*;

// Create factorization state spaces
let state = FactorizationStateSpace::new(6)?;     // Classical state (positive)
let quantum = FactorizationStateSpace::new(-6)?;  // Quantum state (negative)

println!("S(6) has {} factorizations", state.size());
println!("S(-6) has {} factorizations", quantum.size());

// Demonstrate quantum collapse: (-2) × (-3) = 6
let s_neg2 = FactorizationStateSpace::new(-2)?;
let s_neg3 = FactorizationStateSpace::new(-3)?;
let result = s_neg2.multiply(&s_neg3)?;

if result.collapse_info.collapsed {
    println!("Quantum collapse occurred!");
}

§Feature Overview

§Core Features

  • Factorization State Spaces: Complete enumeration of valid P-factorizations
  • Quantum Collapse: Modeling (-a) × (-b) = ab transitions
  • Sign Prime: The unique negative prime (-1) enabling quantum behavior

§Advanced Features

  • Algebraic Structures: State space ideals, P-prime spectrum, homology
  • Topological Analysis: Simplicial complexes, Galois groups, Betti numbers
  • Geometric Realizations: IOT metric, tautochrone operators, Hilbert spaces

§Module Organization

  • prelude: Common imports for most use cases
  • core: Fundamental PPF primitives and operations
  • algebra: Advanced algebraic structures
  • topology: Topological properties of state spaces
  • geometry: Geometric realizations and IOT framework

Re-exports§

pub use core::FactorizationStateSpace as StateSpace;
pub use core::PFactorization as Factorization;
pub use core::FactorizationError as Error;

Modules§

algebra
Algebraic structures and operations for PPF framework
core
Core PPF mathematical primitives and operations
geometry
Geometric realizations of factorization state spaces
prelude
Prelude - common imports for convenience Common imports for most PPF use cases
topology
Topological structures of factorization state spaces

Constants§

CRITICAL_RATIO
The critical IOT ratio r/R = 1/30
DESCRIPTION
Library description
VERSION
Library version information