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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Archetype: A Holographic, Fractal Framework of Emergent Cosmological Rendering

Authors: Lee, Charles Mark;

The Archetype: A Holographic, Fractal Framework of Emergent Cosmological Rendering

Abstract

Abstract: The Archetype framework presents a resolution to the singularity problem by modeling the observable 3D universe as a decompressed holographic projection emerging from a 2D event horizon. Utilizing the Holographic Principle and topological quantum field theory, we demonstrate that matter ingested from a parent universe is dimensionally reduced and encoded onto a phase-conjugate horizon via non-Abelian Fibonacci anyons (τ). We derive a fundamental information-scaling law where the system's dimensionality grows asymptotically as the Golden Ratio (φ). By applying a modified Ryu-Takayanagi relation, we show that the expansion of the 3D bulk (Dark Energy) is a direct consequence of the information ingestion rate. In this model, Dark Matter is identified not as a physical particle, but as the emergent gravitational weight of the internal structural links within a MERA tensor network, mathematically enforcing the observed 5.236 ratio of dark to visible matter. Finally, we propose that the Arrow of Time and the Speed of Light (c) are emergent properties of the sequential un-braiding of anyon knots, providing specific, falsifiable predictions for gravitational wave echo amplitude modulation and Planck-scale spacetime jitter. Key Mathematical Derivations in this Manuscript: A dynamical derivation of the Cosmological Constant (Λ) directly from Bondi-Hoyle-Lyttleton accretion physics. A topological proof demonstrating that the minimal stable truncation of a 3D Fibonacci MERA tensor network intrinsically yields a hidden-to-visible scaffolding ratio of roughly 5.236, matching observed Dark Matter without novel particles. Quantifiable predictions for gravitational wave echo amplitude modulation.

Keywords

Quantum Gravity, Bondi Accretion, General Relativity, Ryu-Takayanagi Formula, Non-Abelian Anyons, Quantum Information Theory, Holographic Principle, Holographic Entanglement Entropy, Emergent Spacetime, Cosmological Constant, Topological Quantum Field Theory (TQFT), Cosmology, Black Hole Information Paradox, Theoretical Physics, Gravitational Wave Echoes, Fibonacci Anyons, Dark Matter, MERA Tensor Network

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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