The Holographic Emergence of 3D

We propose a novel, deterministic framework for the unification of quantum mechanicsand gravitational dynamics by establishing that three-dimensional (3D) physical space isnot a fundamental continuum, but a holographic illusion constructed by the observer’s visualcortex from a discrete two-dimensional (2D) boundary. Grounded in neuro-cognitive biology,we demonstrate that primary physical data reception is strictly confined to a 2D retinalmanifold (P2), while the 3D bulk is generated in real-time via binocular and monoculardepth processing. By quantize this boundary into discrete Planck patches theclassical paradoxes of the continuum (Zeno’s paradoxes) are naturally resolved.Building upon the core mathematical foundations originally established in our openaccess monograph, Holographic Universe Through its 2D Boundary (Krikos, available onZenodo, ResearchGate, Academia.edu, ... ), we introduce a rigorous geometric mechanismwhere fundamental physical properties, such as mass and electric charge, emerge from theinner product of the geometric curvature and dimensional eigenvectors (Xµ,Xq) of conicsections (circles and ellipses) with an invariant projection operator I = (1/3,2/3). Thisframework successfully derives the three-generation particle hierarchy from the three realroots of the cubic boundary equations governing these conic sections. It yields the exactfractional charges of u and d quarks (+2/3 and-1/3), alongside the integer charge of theelectron (-1), without free parameters. The quantities-1/3,2/3 are invariant quantities ofconic sections[2].

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-19
DOI
https://doi.org/10.5281/zenodo.23476092
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
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article

The Holographic Emergence of 3D

Kostas Krikos
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

The Holographic Emergence of 3D

Kostas Krikos
article en

Abstract

We propose a novel, deterministic framework for the unification of quantum mechanicsand gravitational dynamics by establishing that three-dimensional (3D) physical space isnot a fundamental continuum, but a holographic illusion constructed by the observer’s visualcortex from a discrete two-dimensional (2D) boundary. Grounded in neuro-cognitive biology,we demonstrate that primary physical data reception is strictly confined to a 2D retinalmanifold (P2), while the 3D bulk is generated in real-time via binocular and monoculardepth processing. By quantize this boundary into discrete Planck patches theclassical paradoxes of the continuum (Zeno’s paradoxes) are naturally resolved.Building upon the core mathematical foundations originally established in our openaccess monograph, Holographic Universe Through its 2D Boundary (Krikos, available onZenodo, ResearchGate, Academia.edu, ... ), we introduce a rigorous geometric mechanismwhere fundamental physical properties, such as mass and electric charge, emerge from theinner product of the geometric curvature and dimensional eigenvectors (Xµ,Xq) of conicsections (circles and ellipses) with an invariant projection operator I = (1/3,2/3). Thisframework successfully derives the three-generation particle hierarchy from the three realroots of the cubic boundary equations governing these conic sections. It yields the exactfractional charges of u and d quarks (+2/3 and-1/3), alongside the integer charge of theelectron (-1), without free parameters. The quantities-1/3,2/3 are invariant quantities ofconic sections[2].

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Advanced Mathematical Theories and Applications
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