Non-Linear Vacuum Condensation and Emergent Dark Matter from SU(3) ⊕ SU(2) Yang-Mills Entanglement: The Abu Borda Boson
Abstract
We present a rigorous topological generalization of standard Yang-Mills gauge frameworks, wherein the classical continuous spacetime vacuum emerges as a macroscopic manifestation of interlinked non-Abelian Lie-algebraic flux tubes. Under the ultra-high energy densities of the primordial Quark-Gluon Plasma (QGP) epoch, the internal dimensional capacities of the SU(3) and SU(2) sectors govern the statistical energy absorption profile. At the critical saturation threshold, these flux tubes undergo spontaneous topological entanglement, forming a macroscopic 11-dimensional composite vacuum condensate network. We introduce the Primordial Topological Stabilization Field (Φ_TS), which stabilizes this lattice and acts as the catalyst for the Higgs mechanism. The quantum excitations of this entangled network manifest as real, stable composite scalar bosons, designated herein as the Abu Borda Boson (φ_AB). Unlike alternative fundamental paradigms, the φ_AB boson is constructed exclusively from the non-linear configurations of SU(3) and SU(2) Yang-Mills tubes, freezing into a macroscopic Bose-Einstein Condensate (BEC) that constitutes the dark matter framework. We derive a sharp, falsifiable footprint in the small-scale matter power spectrum cutoff (k > 10 h Mpc⁻¹), providing a definitive verification target for the upcoming Nancy Grace Roman Space Telescope.
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BibTeX
@misc{borda2026nonlinear,
title = {{Non-Linear Vacuum Condensation and Emergent Dark Matter from SU(3) ⊕ SU(2) Yang-Mills Entanglement: The Abu Borda Boson}},
author = {Mohamed Abdel momen Abu Borda},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23497642},
url = {https://zenodo.org/records/23497642},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-Linear Vacuum Condensation and Emergent Dark Matter from SU(3) ⊕ SU(2) Yang-Mills Entanglement: The Abu Borda Boson
AU - Mohamed Abdel momen Abu Borda
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23497642
UR - https://zenodo.org/records/23497642
AB - We present a rigorous topological generalization of standard Yang-Mills gauge frameworks, wherein the classical continuous spacetime vacuum emerges as a macroscopic manifestation of interlinked non-Abelian Lie-algebraic flux tubes. Under the ultra-high energy densities of the primordial Quark-Gluon Plasma (QGP) epoch, the internal dimensional capacities of the SU(3) and SU(2) sectors govern the statistical energy absorption profile. At the critical saturation threshold, these flux tubes undergo spontaneous topological entanglement, forming a macroscopic 11-dimensional composite vacuum condensate network. We introduce the Primordial Topological Stabilization Field (Φ_TS), which stabilizes this lattice and acts as the catalyst for the Higgs mechanism. The quantum excitations of this entangled network manifest as real, stable composite scalar bosons, designated herein as the Abu Borda Boson (φ_AB). Unlike alternative fundamental paradigms, the φ_AB boson is constructed exclusively from the non-linear configurations of SU(3) and SU(2) Yang-Mills tubes, freezing into a macroscopic Bose-Einstein Condensate (BEC) that constitutes the dark matter framework. We derive a sharp, falsifiable footprint in the small-scale matter power spectrum cutoff (k > 10 h Mpc⁻¹), providing a definitive verification target for the upcoming Nancy Grace Roman Space Telescope.
ER -