DRSN VII: Drifted Holographic Geometry and Spectral Gauge–Gravity Duality (De Rerum Spectrale Natura, Report VII, Version 1.0)

We formulate holography and gauge–gravity correspondence within the framework of drifted
spectral geometry. Bulk and boundary theories are described as distinct spectral sectors of
a single Dirac operator, related by projection and controlled drift deformation. The radial
holographic direction is interpreted as a spectral flow, providing an operatorial realisation of
renormalisation group evolution. This approach yields a unified, background-independent
formulation of holography, bridging AdS/CFT, brane constructions, and noncommutative
geometry.