Boundary Phase Resonance (BPR) is an open-source research framework designed to derive physical constants from a single mathematical equation, aiming to address foundational questions in physics. The framework proposes that instead of relying on approximately 25 empirically entered constants in the Standard Model—such as particle masses and force strengths—these values can be calculated from underlying mathematical principles. BPR specifically derives 87 physical constants, including the electron mass, gravitational strength, and the fine-structure constant, from one boundary equation that requires no adjustable dimensionless parameters, aside from a single energy scale dictated by dimensional analysis.
The core concept behind BPR is that space is structured as a discrete lattice, rather than a continuous fabric. This lattice is modeled as a Z_p cyclic group, where p is a specific prime number (104,761), and each node connects to six neighbors, reflecting the unique triangulation of a spherical boundary. The mathematical structure of this lattice, governed by two integers (p and z), leads to the emergence of electromagnetism, gravity, and quantum mechanics as natural outcomes of the same underlying mathematics. The framework emphasizes that observable physics emerges through coarse-graining at boundaries, rather than in the bulk of the lattice.
BPR addresses several major fine-tuning problems in modern physics, such as the cosmological constant problem, the hierarchy problem, and the strong CP problem, by introducing concepts like boundary stiffness, impedance screening, and topological charge quantization. The framework includes 67 bridge functions that have been unit-tested, and internal consistency checks have all passed. Entropy conservation within the system is proven via Liouville's theorem, and any observed drift in finite-p simulations is attributed to truncation artifacts.
The platform is open source, with results reproducible in under 60 seconds, and is intended for researchers interested in foundational physics. Documentation, a GitHub repository, a research paper, and API access are provided, supporting reproducible scientific computation and open scrutiny of the methodology.
Boundary Phase Resonance sits in PulseGate's Frameworks & SDKs category. It enables researchers to derive and reproduce physical constants from first principles using a mathematical framework. Boundary Phase Resonance is an open-source project aimed at physics researchers. The project is open source (MIT). Boundary Phase Resonance is available on the command line and API, and it can be self-hosted.
Behind Boundary Phase Resonance is StarDrive Inc., and the product first shipped in 2025. The project is developed in the open on GitHub with 152 commits in the last 90 days. Among its 10 catalogued features are open source, CLI tool, and API access.
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