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Other literature type . 2025
License: CC BY
Data sources: ZENODO
https://doi.org/10.2139/ssrn.6...
Article . 2026 . Peer-reviewed
Data sources: Crossref
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Why Three Dimensions? Dimensional Uniqueness from Holography, Locality, and Finiteness

Authors: Ahaneku, Oguike;

Why Three Dimensions? Dimensional Uniqueness from Holography, Locality, and Finiteness

Abstract

The present work develops an information-theoretic argument that three spatial dimensions are singled out among integer dimensions by the simultaneous requirements of holographic entropy bounds, local dynamics, and finite discrete structure. The reasoning does not rely on any specific microscopic model of quantum gravity; instead, it is formulated for a broad class of theories that are holographic, local, and of finite density. Within this class, it is shown that D = 1 is incompatible with a non-degenerate holographic bound, that D = 2 is marginal and cannot support robust propagating bulk degrees of freedom under natural scrambling assumptions, and that D ≥ 4 suffers from a bulkboundary mismatch: bulk configurational complexity grows too quickly to be coordinatized by any boundary theory obeying holographic scaling and local information propagation, under mild assumptions about compression and coordination. Under these conditions, D = 3 emerges as the unique integer dimension in which holography, locality, and finiteness can jointly support stable, causally coherent macroscopic physics.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green