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arXiv 2607.28722hep-ph

引力探测器-DM:暗物质的引力实验室

Gravity Probe-DM: The Gravitational Laboratory for Dark Matter

Yu-Dai Tsai, Hayden R. Foote

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中文总结 AI 辅助

该研究提出Gravity Probe-DM方案,利用航天器精密测距探测太阳系暗物质,可将信号从亚皮米级移至纳米级,探测能绘制本地暗物质引力图并研究其产生流。

中文摘要 AI 辅助

暗物质是通过宇宙中的引力推断得出的,但尚未在太阳系内被直接探测到。太阳不可避免地会将入射的未束缚暗物质聚焦成一个不可约的下游尾流,其结构编码了入射的密度、速度分布,对于波状暗物质还包含德布罗意尺度。我们提出了Gravity Probe-DM,这是一种利用航天器间精密测距的日心搜索方案。双航天器的精确可观测量是差分尾流加速度;对于短基线,它会成为沿基线投影的尾流潮汐张量。对于一条2.5×10⁶km的基线,以30km/s的速度穿过0.1AU的相干宽度,1%的过量会在5.77天内产生0.63pm的原始均匀核范围尺度。当投影潮汐在时间间隔T内保持相干时,自由响应会随T²增长,一年后达到2.5nm。携带20%参考本地密度、聚焦对比度达30%的低延迟暗盘分量,其一年尺度约为15nm。这些预拟合响应尺度表明,轨迹设计可将信号从亚皮米级移至纳米级。探测将提供本地暗物质的纯引力图,并探测产生它的流,包括粒子与波的聚焦过程。太阳充当透镜,航天器采样尾流,精密测距读取其引力印记。

英文摘要

Dark matter is inferred gravitationally across the Universe but has not been detected within the Solar System. The Sun inevitably focuses incident unbound dark matter into an irreducible downstream wake. Its structure encodes the incoming density and velocity distribution and, for wave dark matter, the de Broglie scale. We propose Gravity Probe-DM, a heliocentric search using precision ranging between spacecrafts. The exact two-spacecraft observable is the differential wake acceleration; for a short baseline, it becomes the wake tidal tensor projected along the baseline. For a $2.5\times10^6\,\mathrm{km}$ baseline crossing a $0.1\,\mathrm{AU}$ coherent width at $30\,\mathrm{km\,s^{-1}}$, a one-percent excess gives a raw uniform-core range scale of $0.63\,\mathrm{pm}$ over $5.77\,\mathrm d$. While the projected tide remains coherent over an interval $T$, the free response grows as $T^2$, reaching $2.5\,\mathrm{nm}$ over one year. An illustrative low-lag dark-disk component carrying $20\%$ of the reference local density and reaching a $30\%$ focused contrast gives a one-year scale of about $15\,\mathrm{nm}$. These pre-fit response scales show that trajectory design can move the signal from sub-picometre to nanometre scales. A detection would provide a purely gravitational map of local dark matter and probe the flow that produced it, including particle versus wave focusing. The Sun supplies the lens, spacecraft sample the wake, and precision ranging reads out its gravitational imprint.

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