A geometric origin for the Standard Model spectrum, dark matter, quantum mechanics, and cosmological parameters from the Randall–Sundrum warped extra dimension

The Randall–Sundrum warped extra dimension¹ and Gherghetta–Pomarol fermion localization² provide a geometric framework in which a single parameter—the bulk localization coordinate c—determines all measurable properties of Standard Model particles. We demonstrate that this identification, combined with the Z₂ orbifold symmetry of the extra dimension, yields quantitative results across twenty-four domains of fundamental physics without introducing new particles, fields, or free parameters beyond kL ≈ 37. Specifically: (i) dark matter is the gravitating bulk extension of ordinary matter, reproducing the observed 85/15 ratio from the Randall–Sundrum metric alone; (ii) the electron is a standing wave formed by counter-propagating gauge boson profiles from opposite branes at the Z₂ midpoint; (iii) spin, charge, chirality, and the matter–antimatter distinction reduce to lane assignment in the Z₂ orbifold; (iv) quantum mechanical phenomena—wave–particle duality, uncertainty, tunneling, entanglement, and wavefunction collapse—are geometric projections of five-dimensional physics onto the four-dimensional brane; (v) the four fundamental forces are one geometry sampled at four addresses; (vi) inflation is the radion rolling to its stabilized minimum; (vii) the Standard Model’s twenty free parameters are outputs of one geometric input. The framework generates twenty-eight falsifiable predictions, including permanent null results for dark matter particle searches, sparticle searches, and axion searches. We present corrections for observer bias arising from measurement at c = 0.00, yielding a linear correction model that reveals Z₂ mirror pairing across the particle spectrum.