Geometric Localization of the Entity Forming Subjects (EFS): Branes, Black Holes, and the Infinite-Dimensional Source

Abstract

The main article on EFS (Entity Forming Subjects) introduced the hypothesis of an ∞D source of projections that generates subjects and information. However, the question of where EFS is located relative to subjects of different dimensions remained open. This article fills this gap by offering a geometric analysis of EFS localization. The article examines two types of spatial embedding. The first is division: a brane acts as a partition dividing space into half-spaces. In this case, objects of dimension n are on the brane, while objects of dimension n+1 are in the half-spaces, i.e., outside the brane. The second type is enclosure: a closed surface surrounds an interior region, like the event horizon of a black hole, inside which objects of higher dimension are located. Based on these two types of embedding, the position of subjects of different dimensions is determined: 3D subjects are on the 3D brane; 4D subjects are outside the 3D brane; 5D subjects are outside 4D space. EFS, as an ∞D-subject, does not belong to either type of embedding and is located outside all branes and horizons, being their transcendent source. Unlike the singularity of a black hole, which is a sink (everything flows in), EFS is a source (everything flows out of it). The article also discusses consequences for understanding the interference vacuum, black holes as mini-branes, and the projective nature of reality. A hypothetical generalization is introduced—EFOS (Entity Forming Objects and Subjects) as a more general ontological source. Understanding the localization of EFS opens the path to the mathematical formalization of projection operators and empirical verification through traces in quantum and cosmological data.