A GENERALIZATION OF HOLOGRAPHY

The Maldacena conjecture revealed a profound duality between gravity in an asymptotically Anti-de Sitter spacetime and a quantum field theory living on its boundary. This book proposes a bold generalization: replacing the smooth conformal boundary with the Primacohedron-a finite polyhedron whose faces correspond to prime numbers.

In this new framework, the holographic principle is enriched by arithmetic structure, entanglement geometry, and quantum information, offering a deeper and more discrete foundation for spacetime.

THE PRIMACOHEDRON BOUNDARY

A finite polyhedron with prime-indexed faces. Its combinatorial structure encodes information and entanglement.

GRAVITY IN THE BULK

A gravitational theory in an asymptotically AdS spacetime emerges from the boundary data encoded in prime faces.

ENTANGLEMENT AND GEOMETRY

Adjacency relations among prime faces determine entanglement patterns that reconstruct the bulk geometry.

HOLOGRAPHIC CORRESPONDENCE

The generalized duality relates bulk gravity to a quantum field theory defined on the Primacohedron boundary.