The Prime-Factored Model

We present the Prime-Factored Model (PFM), a unified framework that answers the ‘why’ of physical structure, forces, and constants. The universe operates as a harmonic system: all stable matter, particles, elements, and forces are resonances of the speed of light (c), tuned in steps of prime numbers (2, 3, 5, 7…) and synchronised by the Prime Factor Constant (α ≈ 1/137.036), which acts as the universal refractive index mediating transitions between prime manifolds. We demonstrate that all known fundamental particles, from neutrinos to the Higgs boson, all stable elements from hydrogen to lead-208, and all four fundamental forces can be expressed as discrete harmonic nodes on this prime-factored frequency manifold. Elemental stability, radioactive decay patterns, nuclear binding energy peaks, and predicted islands of superheavy stability emerge naturally from prime-synchronisation constraints rather than as statistical phenomena. This framework derives the physical constants, G the gravitational constant, and mass ratios that the Standard Model can only measure empirically, and makes specific, testable predictions for as-yet-unsynthesised superheavy elements.