类奥本海默-斯奈德标度依赖黑洞时空的约瑟夫森干涉测量
Josephson interferometry in an Oppenheimer--Snyder-like scale-dependent black-hole spacetime
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- Eastern Mediterranean University（东地中海大学）
- Mapúa University（马普阿大学）
- Università degli Studi di Salerno（萨莱诺大学）
- Istituto Nazionale di Fisica Nucleare（意大利国家核物理研究所）
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中文总结 AI 辅助
本研究针对类奥本海默-斯奈德标度依赖黑洞时空构建协变框架，分析约瑟夫森输运、干涉及噪声，推导相关方程、关系与灵敏度界限，为黑洞相关超导干涉测量提供理论支撑。
中文摘要 AI 辅助
我们开发了一种协变框架，用于研究类奥本海默-斯奈德坍缩产生的标度依赖外域中的约瑟夫森输运、超导干涉和分流噪声。静态约瑟夫森频率和相对于基林时间的输运电流获得一个迟滞因子，而功率获得两个。对于与坍缩表面共动的结，坐标时间相位率与无穷远处接收到的频率不同，因为存在零传播和多普勒效应。我们推导了精确的径向零测地线传播时间核，表明其局域近极值对数增强在固定发射偏移处转变为极点控制的极值行为。我们还得到了红移的阻容分流结（RCSJ）方程以及直流和微波驱动的双结干涉包络。在总电感可忽略的极限下，静态迟滞失衡会改变瓣振幅而不移动其中心，而微波诱导的平移需要动态通量oid闭合。在哈特-霍金态中，托尔曼红移产生超导排斥层和与迟滞因子无关的渐近分流噪声谱；其低频极限服从无参数的涨落-延迟关系。最后，我们推导了阴影-约瑟夫森一致性关系和对跑动参数的灵敏度界限。
英文摘要
We develop a covariant framework for Josephson transport, superconducting interference, and shunt noise in the scale-dependent exterior generated by an Oppenheimer--Snyder-like collapse. Static Josephson frequencies and transported currents referred to Killing time acquire one lapse factor, whereas power acquires two. For a junction comoving with the collapsing surface, the coordinate-time phase rate differs from the frequency received at infinity because of null propagation and Doppler effects. We derive the exact radial-null travel-time kernel and show that its local near-extremal logarithmic enhancement crosses over, at fixed emission offset, to pole-controlled extremal behavior. We also obtain the redshifted resistively and capacitively shunted-junction equation and the dc and microwave-driven two-junction interference envelopes. In the negligible-total-inductance limit, static lapse imbalance modifies lobe amplitudes without shifting their centers, whereas microwave-induced translations require dynamical fluxoid closure. In a Hartle--Hawking state, Tolman redshift produces a superconducting exclusion layer and a lapse-independent asymptotic shunt-noise spectrum; its low-frequency limit obeys a parameter-free fluctuation--delay relation. Finally, we derive a shadow--Josephson consistency relation and sensitivity bounds on the running parameter.
