Theoretical Goal
PHCSystem aims to model the latent prime-harmonic field as a symbolic language with computational parity to complex numbers and Hilbert spaces. Its ultimate purpose is to either unlock the structure of the Riemann Zeta zeros, or go beyond with a fully original prime harmonic logic calculus.
PHCSystem is a groundbreaking symbolic and geometric computational framework designed to explore the hidden architecture of prime numbers. This modular Java-based system combines symbolic logic, spectral prime operators, and dynamic zero-locator surfaces to investigate patterns potentially related to or transcending the Riemann Hypothesis.
/PHCSystem/ ├── phc-interpreter/ │ └── src/ │ ├── core/ │ │ ├── SpectralPrime.java │ │ ├── PrimeOperator.java │ │ ├── PrimeField.java │ │ └── PhiLattice.java │ ├── engine/ │ │ ├── PHCInterpreter.java │ │ ├── SymbolicParser.java │ │ └── ExpressionNode.java │ ├── logic/ │ │ ├── PHCLogicEvaluator.java │ │ └── Proposition.java │ └── util/ │ ├── ComplexUtils.java │ └── Logger.java │ └── Main.java ├── PHC-PrimeHarmonicsCalculus/ │ └── src/ │ ├── core/ │ │ └── PrimeField.java │ │ └── PHCInterpreter.java │ ├── logic/ │ │ └── OmegaZeroLocator.java │ ├── visual/ │ │ └── OmegaSurface.java │ └── PHCLauncher.java └── pom.xml
- Symbolic Interpreter: Parse, transform, and evaluate abstract prime harmonic expressions.
- Zero Locator: Dynamic geometric surface plotting of zeta-analogic structures.
- Spectral Prime Operators: Advanced operators for prime field exploration.
- Modular Engine: Designed to scale into mathematical logic and visualization layers.
- High-Precision Complex Utilities: Custom utilities for arithmetic, roots, and convergence.
- Custom Logging Engine: Thread-safe, color-coded, verbosity-controlled logs.
- Maven Integration: Fully Mavenized project structure with multi-module compatibility.
- Java 11+
- Maven 3.6+
From the root of your repository:
mvn clean compile
mvn exec:java -Dexec.mainClass="Main"