暗能量与宇宙学常数如何解释1998年观测到的宇宙加速膨胀？
How do dark energy and the cosmological constant explain the accelerating cosmic expansion observed in 1998?
对远方Ia型超新星的观测显示宇宙膨胀在近期加速，需用具有负压的暗能量（常以宇宙学常数 Λ 描述）驱动。Λ 对应的真空能量密度使弗里德曼方程的加速度项为正，主导晚期宇宙演化。
Observations of distant Type Ia supernovae showed the cosmic expansion is accelerating, requiring a negative-pressure component called dark energy, often modeled as the cosmological constant Λ. The vacuum energy density makes the acceleration term in the Friedmann equations positive and dominates the late universe.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Riess et al., Astron. J. 116, 1009 (1998)；Perlmutter et al., Astrophys. J. 517, 565 (1999)（Ia超新星与加速膨胀）
A. G. Riess et al., Astron. J. 116, 1009 (1998); S. Perlmutter et al., Astrophys. J. 517, 565 (1999) (SN Ia, accelerating expansion)
#暗能量 #宇宙学常数 #加速膨胀 #超新星
广义相对论预言的引力波与电磁波在本质和传播上有何根本区别？
What are the fundamental differences between gravitational waves predicted by general relativity and electromagnetic waves in nature and propagation?
引力波是时空度规本身的涟漪，由质量四极矩加速变化产生，以光速传播且几乎不与物质相互作用；电磁波是电磁场振荡，由偶极矩变化产生并易被介质吸收和散射。引力波的横向无迹张量偏振（两模态）也不同于电磁波的矢量偏振。
Gravitational waves are ripples of the spacetime metric itself, produced by accelerating mass quadrupoles, travel at light speed, and barely interact with matter; electromagnetic waves are oscillations of the electromagnetic field from dipole changes and are easily absorbed or scattered. Gravitational waves also carry transverse-traceless tensor polarizations distinct from electromagnetic vector polarizations.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Einstein, Sitzungsber. Königl. Preuß. Akad. Wiss. Berlin 688 (1916)（引力波预言）；Abbott et al., Phys. Rev. Lett. 116, 061102 (2016)
A. Einstein, Sitzungsber. Königl. Preuß. Akad. Wiss. Berlin 688 (1916) (gravitational waves); B. P. Abbott et al., Phys. Rev. Lett. 116, 061102 (2016)
#引力波 #时空度规 #四极辐射 #张量偏振
LIGO如何通过激光干涉在亚原子尺度上探测到双黑洞并合产生的引力波？
How does LIGO detect gravitational waves from binary black hole mergers via laser interferometry at sub-atomic scales?
LIGO用数公里长臂的迈克尔逊干涉仪，引力波经过时使两垂直臂长发生相对应变（约10^-21），改变激光干涉条纹。通过隔振、真空与匹配滤波将信号从海量噪声中分离，2015年首次直接探测到双黑洞并合引力波。
LIGO uses a kilometer-scale Michelson interferometer; as a gravitational wave passes, the two perpendicular arms experience a relative strain of about 10^-21, shifting the laser interference fringes. Vibration isolation, vacuum, and matched filtering extract the signal from enormous noise, yielding the first direct detection of a binary black hole merger in 2015.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Abbott et al.（LIGO/Virgo）, Phys. Rev. Lett. 116, 061102 (2016)（双黑洞并合引力波）
B. P. Abbott et al. (LIGO/Virgo), Phys. Rev. Lett. 116, 061102 (2016) (binary black hole merger GW)
#引力波 #LIGO #激光干涉 #应变
广义相对论如何解释水星近日点每世纪多出的约43角秒进动？
How does general relativity explain Mercury's excess perihelion precession of about 43 arcseconds per century?
牛顿二体问题给出封闭椭圆，行星摄动能解释大部分观测进动，但仍有约43角秒/世纪无法归因。广义相对论中，太阳附近的时空曲率使有效势多出一项随1/r^3衰减的短程修正，等效于额外的近距吸引，轨道因此不再闭合而缓缓旋进。爱因斯坦1915年据此得到每世纪约43角秒（精确值42.98），与观测吻合，成为新理论的首个定量检验。
Newtonian two-body motion closes into an ellipse, and planetary perturbations explain most of the observed precession, yet about 43 arcseconds per century remained unaccounted for. In general relativity, spacetime curvature near the Sun adds to the effective potential a short-range correction decaying as 1/r^3 — an extra inward tug at small radii — so the orbit fails to close and slowly rosettes. In 1915 Einstein thereby obtained about 43 arcseconds per century (precisely 42.98), matching observation—the first quantitative test of the new theory.
难度 专业 · 适合 高中(15-18)
CC BY 4.0 · 已核验 · Verified 2026-11-02
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C. M. Will, Theory and Experiment in Gravitational Physics, 修订版, 剑桥大学出版社, 1993
C. M. Will, Theory and Experiment in Gravitational Physics, rev. ed., Cambridge University Press, 1993
独立核验依据 · Independent verification: 核验依据 1 OPENLIBRARY 标识 /works/OL4301461W：Theory and experiment i
#广义相对论 #近日点进动 #经典引力检验
广义相对论预言的引力透镜效应如何被用于探测暗物质与系外行星？
How is gravitational lensing predicted by general relativity used to detect dark matter and exoplanets?
大质量天体使背景光源光线弯曲放大，形成爱因斯坦环或多重像，其强度由透镜质量分布决定，可用于测绘不可见暗物质。当前景天体为恒星时，短时微透镜增亮还能揭示经过的系外行星。
A massive object bends and magnifies light from a background source, forming Einstein rings or multiple images whose strength depends on the lens mass distribution, allowing mapping of invisible dark matter. When the foreground lens is a star, brief microlensing brightening can also reveal passing exoplanets.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-04 · 2 条独立证据
来源 · Source
Einstein,《Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field》,Science,1936 (DOI: 10.1126/science.84.2188.506)；Walsh, D., Carswell, R.F., Weymann, R.J.,《0957 + 561 A, B: twin quasistellar objects or gravitational lens?》, Nature, 1979 (DOI: 10.1038/279381a0)
Einstein, 'Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field', Science, 1936, DOI: 10.1126/science.84.2188.506; Walsh, Carswell, Weymann, '0957 + 561 A, B: twin quasistellar objects or gravitational lens?', Nature, 1979, DOI: 10.1038/279381a0
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1126/science.84.2188.506 · 核验依据 2 Crossref DOI 10.1038/279381a0
#引力透镜 #爱因斯坦环 #暗物质 #微透镜
黑洞的「事件视界」是什么，为何任何信号都无法从中逃逸？
What is a black hole's event horizon, and why can no signal escape from it?
事件视界是时空中的单向边界，其内的逃逸速度超过光速。根据广义相对论，一旦越过视界，所有未来指向的世界线都指向奇点，任何物质或信息都无法向外传递，因而视界内不可直接观测。
The event horizon is a one-way boundary in spacetime inside which the escape velocity exceeds the speed of light. In general relativity, once crossed, all future-directed worldlines lead to the singularity, so no matter or information can be sent outward, making the interior unobservable.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Schwarzschild, Sitzungsber. Königl. Preuß. Akad. Wiss. Berlin 189 (1916)（黑洞精确解与事件视界）
K. Schwarzschild, Sitzungsber. Königl. Preuß. Akad. Wiss. Berlin 189 (1916) (exact black-hole solution, event horizon)
#事件视界 #黑洞 #逃逸速度 #奇点
狭义相对论中的时间膨胀效应如何被μ子寿命实验直接验证？
How is time dilation in special relativity directly verified by muon lifetime experiments?
高速运动的μ子寿命在实验室参考系中被延长，使得本应在大气层中衰变的μ子能到达地面。测量到达地面的μ子数相对静止寿命预期的超出，直接印证了 γ = 1/√(1-v²/c²) 的时间膨胀因子。
Fast-moving muons live longer in the lab frame, allowing those that would decay in the atmosphere to reach the ground. Counting the excess muons at the surface compared with the rest-lifetime prediction directly confirms the time-dilation factor γ = 1/√(1-v²/c²).
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-04
来源 · Source
Rossi, Hall,《Variation of the Rate of Decay of Mesotrons with Momentum》,Physical Review,1941 (DOI: 10.1103/physrev.59.223)
Rossi, Hall, 'Variation of the Rate of Decay of Mesotrons with Momentum', Physical Review, 1941, DOI: 10.1103/physrev.59.223
独立核验依据 · Independent verification: 核验依据 1 Crossref DOI 10.1103/physrev.59.223
#时间膨胀 #狭义相对论 #μ子 #寿命
爱因斯坦等效原理包含哪两层含义，它为何是广义相对论的基石？
What two aspects does Einstein's equivalence principle contain, and why is it the cornerstone of general relativity?
弱等效原理指出所有物体在引力场中自由下落加速度相同（惯性质量等于引力质量）；强等效原理进一步要求局部时空在任意引力场中都可用狭义相对论描述。它把引力几何化为时空弯曲，是广义相对论出发点。
The weak equivalence principle states all freely falling bodies accelerate identically (inertial mass equals gravitational mass); the strong version adds that local physics in any gravitational field is described by special relativity. By geometrizing gravity as spacetime curvature, it is the foundation of general relativity.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：此条未指向带版次的可引用著作（通识性内容、机构文件或未展开的英文书名），本库不提供独立书目出处；如需精确引用，需由编辑补全具体篇目与版次。
Einstein, Ann. Phys. 49, 769 (1916)（广义相对论基础，等效原理）
A. Einstein, Ann. Phys. 49, 769 (1916) (foundation of general relativity, equivalence principle)
#等效原理 #惯性质量 #引力质量 #时空弯曲
法国 MICROSCOPE 卫星为什么要在近地轨道携带一对由钛合金与铂合金制成的同轴圆柱体？它检验了广义相对论的哪条基本假设？
Why does the French MICROSCOPE satellite carry a pair of concentric cylinders made of titanium alloy and platinum alloy in near-Earth orbit? Which basic assumption of general relativity does it test?
任务检验等效原理——引力质量与惯性质量严格相等。卫星本身就是沿轨道自由下落的物体，若两种材料的下落加速度有任何差别，两圆柱的相对位置就会在轨道频率上出现周期性偏移，由静电伺服加速度计读出。最终分析未发现这种差异加速度，把违反程度的上限压到约 10^-15，说明不同成分的物质沿同一测地线下落。
The mission tests the equivalence principle — that gravitational and inertial mass are strictly identical. The satellite itself is a body freely falling along its orbit; any difference in how the two alloys fall would appear as a periodic shift of the cylinders' relative position at the orbital frequency, read out by electrostatic servo accelerometers. The final analysis found no such differential acceleration, tightening the violation limit to about 10^-15: matter of different composition falls along the same geodesic.
难度 进阶 · 适合 初中(12-15)
CC BY 4.0 · 已核验 · Verified 2026-11-02
来源 · Source
P. Touboul 等（MICROSCOPE 合作组），MICROSCOPE Mission: Final Results of the Test of the Equivalence Principle, Physical Review Letters 129, 121102 (2022), DOI: 10.1103/PhysRevLett.129.121102
P. Touboul et al. (MICROSCOPE Collaboration), "MICROSCOPE Mission: Final Results of the Test of the Equivalence Principle", Physical Review Letters 129, 121102 (2022), DOI: 10.1103/PhysRevLett.129.121102
独立核验依据 · Independent verification: 核验依据 1 EUROPEPMC 标识 36179190：MICROSCOPE Mission: Final Results
#等效原理 #自由落体 #空间实验