This document presents new results derived from the Dark Light Universe framework on March 2, 2026. These results extend the established Randall–Sundrum warped extra dimension and the Gherghetta–Pomarol fermion localization profiles into a comprehensive perceptual correction for all mass measurements, force hierarchies, and cosmological parameters.The central insight is that every measurement made by an observer on one brane of the RS geometry is a Mercator-projected value—distorted by the warp factor in a way that depends on where the measured object lives in the fifth dimension. There are two such projections (one per brane), and they distort in opposite directions. The geometric mean of the two projections recovers the true bulk value. This single operation resolves or reframes the hierarchy problem, the fermion mass hierarchy, the neutrino mass problem, the dark matter ratio, the vacuum catastrophe, and the cosmological constant.These results build on the companion paper “The Photon-Neutrino Column,” which establishes the column hypothesis (photon and neutrino as two readings of one 5D field), the ghost projection (dark matter halos as warp-factor-distorted images of Planck-brane matter), and the two-component dark matter model. The present document extends those results through the Mercator analogy to its logical conclusion.The key new results are summarized here and developed in full below.This document presents new results derived from the Dark Light Universe framework on March 2, 2026. These results extend the established Randall–Sundrum warped extra dimension and the Gherghetta–Pomarol fermion localization profiles into a comprehensive perceptual correction for all mass measurements, force hierarchies, and cosmological parameters.The central insight is that every measurement made by an observer on one brane of the RS geometry is a Mercator-projected value—distorted by the warp factor in a way that depends on where the measured object lives in the fifth dimension. There are two such projections (one per brane), and they distort in opposite directions. The geometric mean of the two projections recovers the true bulk value. This single operation resolves or reframes the hierarchy problem, the fermion mass hierarchy, the neutrino mass problem, the dark matter ratio, the vacuum catastrophe, and the cosmological constant.These results build on the companion paper “The Photon-Neutrino Column,” which establishes the column hypothesis (photon and neutrino as two readings of one 5D field), the ghost projection (dark matter halos as warp-factor-distorted images of Planck-brane matter), and the two-component dark matter model. The present document extends those results through the Mercator analogy to its logical conclusion.The key new results are summarized here and developed in full below.
Clay Barkley (Tue,) studied this question.