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Latent Geometry and the Emergence of Lorentzian Time in Matrix Quantum Mechanics
Abstract
We introduce \emph{latent geometry} in BFSS/BMN models. Before an emergent geometry evaporates at the geometric transition, large-d Gaussianization encodes its information in the exceptional N=2 sector selected by the baby fuzzy sphere, a single active spin-1/2 Pauli block. Dimensional reduction, finite-N Gaussianization and exact Molien--Weyl projection transport this encoding to mass-deformed BFSS2. At N=2, the same stable BFSS2 oscillator admits inequivalent unitary H2θ=EAdS2θ and dS2θ decodings, realizing spacetime transmutation and the emergence of Lorentzian time.
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BibTeX
@misc{ydri2026latent,
title = {{Latent Geometry and the Emergence of Lorentzian Time in Matrix Quantum Mechanics}},
author = {Badis Ydri},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29686},
eprint = {2608.29686},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29686},
}
RIS
TY - UNPB
TI - Latent Geometry and the Emergence of Lorentzian Time in Matrix Quantum Mechanics
AU - Badis Ydri
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29686
UR - https://arxiv.org/abs/2608.29686
AB - We introduce \emph{latent geometry} in BFSS/BMN models. Before an emergent geometry evaporates at the geometric transition, large-d Gaussianization encodes its information in the exceptional N=2 sector selected by the baby fuzzy sphere, a single active spin-1/2 Pauli block. Dimensional reduction, finite-N Gaussianization and exact Molien--Weyl projection transport this encoding to mass-deformed BFSS_2. At N=2, the same stable BFSS_2 oscillator admits inequivalent unitary H^2_θ=EAdS^2_θ and dS^2_θ decodings, realizing spacetime transmutation and the emergence of Lorentzian time.
ER -