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Emergent Dimensions Mirroring Theory

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Preprints.org
DOI
10.20944/preprints202504.2620.v1

This work proposes a reformulation of the dimensional understanding of space, based on the fundamental vector postulate ω⋅ ε−​=− 1, which describes the stabilization of vector stresses as a necessary condition for the emergence of physical dimensions. Through the modeling of a structural cube with internal removal (active vector void), we demonstrate that space is not a passive medium, but a dynamic field capable of vector self-mirroring and fractal progression. The parameter ΨED​ - Fractal Dimensional Spectrum - was developed, relating projected vector areas and free volumes to measure the capacity for dimensional emergence. Computational and graphical results were obtained, showing the evolution of the internal vector mesh and the formation of self-similar fractal structures. This model presents a consistent alternative to traditional cosmological expansion, proposing that reality is constructed as a living network of internally stabilized and multiplied vector tensions.

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