发表机构
Department of Physics, Badji Mokhtar Annaba University(巴吉·穆赫塔尔安纳巴大学物理系)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究在BFSS/BMN模型中引入潜几何,通过高斯化等技术将几何信息编码传递到质量形变BFSS₂,在N=2时实现时空嬗变与洛伦兹时间的涌现。
AI 中文摘要
我们在BFSS/BMN模型中引入“潜几何”。在几何转变处涌现的几何“蒸发”前,大d高斯化将其信息编码于由婴儿模糊球(单个活性自旋-1/2泡利块)选取的特殊N=2扇区。维数约化、有限N高斯化及精确Molien-Weyl投影将此编码传递到质量形变BFSS₂。在N=2时,同一稳定BFSS₂振子允许不等价的幺正H²_θ=EAdS²_θ与dS²_θ解码,实现时空嬗变与洛伦兹时间的涌现。
英文摘要
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 $\mathbf{H}^2_θ=\mathbf{EAdS}^2_θ$ and $\mathbf{dS}^2_θ$ decodings, realizing spacetime transmutation and the emergence of Lorentzian time.
Comments7 pages, 1 figure, one table