On the Daksh-Majumder-Balaji Geometry

Authors: Daksh Jain, Soham Majumder, Amitesh Balaji, Daksh Saksena, Amitesh

Abstract: We introduce the Daksh-Majumder-Balaji (DMB) geometry, a pro-posed noncommutative geometric model for the quantum vacuum. The construction is defined by a Golden-ratio spectral dimension DDMB = 3 + ϕ−2, a fractional Dirac operator, and a ϕ−2-scaled deformation of the Moyal product on spacetime. We formulate the associated spectral triple, define the metric structure, and derive the foundational quantum mechanical framework using the Dirac–von Neumann axioms expressed on the Hilbert space HD . A preliminary formulation of the spectral ac-tion is presented, establishing the pathway toward extracting gravitational and gauge dynamics. This work provides the structural basis for future physical predictions arising from the DMB spectral geometry.

DOI: http://doi.org/