Information Entanglement Projection Geometry: Axiomatic Foundations

Abstract

This paper presents the axiomatic foundations of Information Entanglement Projection Geometry (IEPG), also known as Generalized Projective Theory (GPG). Core results: - The 7/8 Theorem: Spacetime emerges at n=7 in the Bott periodicity cycle - Lorentz signature (-,+,+,+) is derived, not assumed - Black hole entropy correction δ = +2/7 is a theorem - 21 structural judgments (19 locked, 3 open interfaces) This work is part of the Generalized Projective Theory framework. Related works: - [PRL] Vacuum Hovering Projection Fixed Point - [CMP] Generalized Modified Ricci Flow Mathematical Foundation - [PRD] Noncommutative Torus Projection Mapping - [FoP] 21st Century Consciousness Science: 27 Unsolved Mysteries - [Autonomous Robots] Physical Robotics Engineering Implementation - [PLA] Vacuum Hovering Physical Mechanism