发表机构
Jadavpur University; Presidency University（贾达普大学; 总统大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究黑洞视界上立方引力子自相互作用，通过在特定规范下展开爱因斯坦 - 希尔伯特作用量导出相关结果，包括‘消失定理’，并利用IBM Qiskit/Aer模拟动力学，得到纵向通道刚性等结论及扇区分辨能级统计，结果与精确对角化相符且有系统误差说明。
AI 中文摘要
我们在Gaddam-Groenenboom-'t Hooft（GGV）近视界框架的偶Regge-Wheeler规范下，围绕史瓦西视界将爱因斯坦-希尔伯特作用量展开到立方阶，导出立方引力子自相互作用。核心结果是一个‘消失定理’：在主导软阶，纯无迹纵向极化的自耦合恒为零。通过显式的封闭形式约化证明并逐项展示抵消项。该定理是‘特定框架’的。然后在IBM Qiskit/Aer上模拟所得哈密顿量的实时动力学并进行精确交叉检验。模拟定量证实纵向通道微扰刚性并测量残余修正。对称精确的总占据截断产生首个扇区分辨的能级统计。所有电路结果与精确对角化一致，每个主要数字都有系统误差说明，硬件执行在量化噪声预算之后。
英文摘要
We expand the Einstein--Hilbert action to cubic order about the Schwarzschild horizon, in the even Regge--Wheeler gauge of the Gaddam--Groenenboom--'t~Hooft near-horizon framework, and derive the cubic graviton self-interaction. Our central result is a vanishing theorem: at leading soft order the self-coupling of the purely traceless longitudinal polarizations is identically zero. This is a framework-specific statement: even RW gauge, GGV sector, leading soft order. The surviving interaction lives in the trace sector; its on-shell equal-$\ell$ weight $W(λ,λ,λ)=-3λ(2λ^2+λ+3)/(λ+1)^2$, follows from two independent derivations agreeing to machine precision. We simulate the resulting Hamiltonian at two complementary scales. On IBM Qiskit/Aer, with exact cross-checks, the hardware-format circuits confirm quantitatively what two structural facts already predict, a conserved charge that only the cubic vertex violates (opening $ϕϕ\to hh\to4ϕ$) and a resonance-free boost spectrum (gap $\to1/2$): the longitudinal channel is perturbatively rigid, and the simulation measures the residual dressing ($d_{\rm eff}=1.06$; multiplicity far from thermal, Poisson, and Haar). A symmetry-graded matrix-product-state evolution then climbs the multipole ladder to sixty modes, the $120$-qubit register, and settles the one question the multiplet cannot: on a late-time measure common to both engines the inelasticity converges to $\barη_\infty\simeq0.16$ (understated by the single multiplet), the dressing stays area-law with peak entanglement $\simeq0.45$ nats far below the Page value, and the result is cutoff-converged and robust to $96$ qubits at larger occupation. The rigidity therefore persists rather than scrambling as the register grows.
Comments30 pages, 22 captioned figures, 6 tables
