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Non-trivial solution to a simple problem 简单问题的非线性解决方案
Pub Date : 2024-04-15 DOI: arxiv-2405.00050
A. I. Milstein
The problem of finding the frequencies of small longitudinal oscillations ofa spring having a finite mass and stiffness, attached at one end to a wall andat the other end to a body of finite mass, is discussed. This problem wasrepeatedly proposed at Olympiads for schoolchildren, in various lessons on theInternet, and even on tests in mechanics for students of universities. In allthe cases known to me, the implied solution was actually wrong. I discuss twocases: (A) a spring lies on a smooth table, (B) a spring is attached to theceiling. It is shown that the solution to this simply formulated problem isnon-trivial.
本文讨论的问题是如何求出一端固定在墙壁上、另一端固定在质量有限的物体上、具有有限质量和刚度的弹簧的微小纵向振荡频率。这个问题在中小学生奥林匹克竞赛、互联网上的各种课程,甚至在大学学生的力学测试中被反复提出。在我所知的所有案例中,隐含的解决方案实际上都是错误的。我将讨论两个案例:(A) 一个弹簧位于光滑的桌面上,(B) 一个弹簧系在天花板上。结果表明,这个简单问题的解并不难。
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引用次数: 0
Necessary Conditions for Earthly Life Floating in the Venusian Atmosphere 地球生命漂浮在金星大气层中的必要条件
Pub Date : 2024-04-08 DOI: arxiv-2404.05356
Jennifer J. Abreu, Alyxander R. Anchordoqui, Nyamekye J. Fosu, Michael G. Kwakye, Danijela Kyriakakis, Krystal Reynoso, Luis A. Anchordoqui
Millimeter-waveband spectra of Venus from both the James Clerk MaxwellTelescope (JCMT) and the Atacama Large Millimeter/submillimeter Array (ALMA)provide conclusive evidence (signal-to-noise ratio of about $15sigma$) of aphosphine absorption-line profile against the thermal background from deeper,hotter layers of the atmosphere. Phosphine is an important biomarker; e.g., thetrace of phosphine in the Earth's atmosphere is uniquivocally associated withanthropogenic activity and microbial life (which produces this highly reducinggas even in an overall oxidizing environment). Motivated by the JCMT and ALMAtantalizing observations we reexamine whether Venus could accommodate Earthlylife. More concretly, we hypothesize that the microorganisms populating thevenusian atmosphere are not free floating but confined to the liquidenvironment inside cloud aerosols or droplets. Armed with this hypothesis, wegeneralize a study of airborne germ transmission to constrain the maximum sizeof droplets that could be floating in the venusian atmosphere and estimatewhether their Stokes fallout times to reach moderately high temperatures arepronouncedly larger than the microbe's replication time. We also comment on theeffect of cosmic ray showers on the evolution of aerial microbial life.
詹姆斯-克拉克-麦克斯韦望远镜(JCMT)和阿塔卡马大型毫米波/亚毫米波阵列(ALMA)拍摄的金星毫米波波段光谱提供了确凿的证据(信噪比约为15美元/西格玛元),证明在来自大气中更深、更热的层的热背景下存在膦吸收线轮廓。磷化氢是一种重要的生物标志物;例如,地球大气中的磷化氢痕量与人类活动和微生物生命(即使在总体氧化环境中也会产生这种高还原性气体)有着独特的联系。受 JCMT 和 ALMA 奇妙观测的启发,我们重新审视了金星是否可以容纳地球生命。更具体地说,我们假设金星大气中的微生物不是自由漂浮的,而是被限制在云气溶胶或液滴内部的液体环境中。有了这一假设,我们将对空气传播细菌的研究推广到对可能漂浮在金星大气中的液滴的最大尺寸的限制,并估计它们达到中等高温的斯托克斯落尘时间是否明显大于微生物的复制时间。我们还评论了宇宙射线雨对空中微生物生命进化的影响。
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引用次数: 0
Is Artificial Intelligence the great filter that makes advanced technical civilisations rare in the universe? 人工智能是使先进技术文明在宇宙中罕见的伟大过滤器吗?
Pub Date : 2024-04-01 DOI: arxiv-2405.00042
Michael Garrett
This study examines the hypothesis that the rapid development of ArtificialIntelligence (AI), culminating in the emergence of Artificial Superintelligence(ASI), could act as a "Great Filter" that is responsible for the scarcity ofadvanced technological civilisations in the universe. It is proposed that sucha filter emerges before these civilisations can develop a stable,multiplanetary existence, suggesting the typical longevity (L) of a technicalcivilization is less than 200 years. Such estimates for L, when applied tooptimistic versions of the Drake equation, are consistent with the null resultsobtained by recent SETI surveys, and other efforts to detect varioustechnosignatures across the electromagnetic spectrum. Through the lens of SETI,we reflect on humanity's current technological trajectory - the modestprojections for L suggested here, underscore the critical need to quicklyestablish regulatory frameworks for AI development on Earth and the advancementof a multiplanetary society to mitigate against such existential threats. Thepersistence of intelligent and conscious life in the universe could hinge onthe timely and effective implementation of such international regulatorymeasures and technological endeavours.
本研究探讨了这样一种假设,即人工智能(AI)的快速发展,最终导致人工超级智能(ASI)的出现,这可能是造成宇宙中先进技术文明稀缺的 "大过滤器"。有人提出,在这些文明能够发展出稳定的多行星存在之前,这种过滤器就已经出现了,这表明技术文明的典型寿命(L)不到 200 年。当把这种对 L 的估计应用于乐观版本的德雷克方程时,与最近的 SETI 勘测和其他在电磁频谱范围内探测各种技术信号的努力所获得的空结果是一致的。通过 SETI 的视角,我们反思了人类目前的技术发展轨迹--这里提出的 L 模式预测,强调了迅速建立地球人工智能发展监管框架和推进多行星社会发展的迫切需要,以减轻这种生存威胁。宇宙中是否存在有意识的智能生命,可能取决于能否及时有效地实施此类国际监管措施和技术努力。
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引用次数: 0
A proposal for enhancing technosignature search toward the Galactic center 加强银河中心技术信号搜索的建议
Pub Date : 2024-04-01 DOI: arxiv-2404.00840
Naoki Seto
We discuss the possibility of enhancing intelligent life searches toward theGalactic center. From the clockwork orbital motions of stars around the SgrA${}^*$ black hole, we can determine the distance to the Galactic center at anexceptional accuracy, despite its remoteness $sim 8.3$kpc. In addition, we candefine precise reference epochs by selecting a prominent object such as thebright B-type star S2. These properties have a particular affinity for thecoordinated signaling scheme which was hypothesized by Seto (2019) forsystematically connecting intentional senders to searchers without a priorcommunication. If S2 is actually being used as a common reference clock, we cancompress the search directions around the Galactic center by more than twoorders of magnitude, with the scanning interval of $sim16$yr.
我们讨论了加强对银河系中心的智慧生命搜索的可能性。根据SgrA${}^*$黑洞周围恒星的钟表轨道运动,我们可以非常精确地确定银河系中心的距离,尽管它非常遥远($sim 8.3$kpc)。此外,我们还可以通过选择一个突出的天体,如明亮的B型恒星S2,来确定精确的参考纪元。这些特性与濑户(Seto)(2019)假设的协调信号方案有着特殊的亲和力,后者可以在没有事先通信的情况下系统地将有意发送者与搜索者联系起来。如果S2实际上被用作一个共同的参考时钟,那么我们就可以把围绕银河系中心的搜索方向压缩两个数量级以上,扫描间隔为$sim16$yr。
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引用次数: 0
The ancient Egyptian personification of the Milky Way as the Sky Goddess Nut: an astronomical and cross-cultural analysis 古埃及人将银河拟人化为天空女神努特:天文学和跨文化分析
Pub Date : 2024-04-01 DOI: arxiv-2404.01458
Or Graur
The Milky Way's name and role in ancient Egyptian culture remain unclear. Onesuggestion is that the Milky Way may have been a celestial depiction of the skygoddess Nut. In this work, I test this association using an interdisciplinaryapproach. In the first part of this paper, I combine astronomical simulationsof the ancient Egyptian night sky with primary Egyptian sources to map thegoddess Nut onto the Milky Way. With her head and groin firmly associated byprimary texts with the western and eastern horizons, respectively, I argue thatthe summer and winter orientations of the Milky Way could be construed asfigurative markers of Nut's torso (or backbone) and her arms, respectively. Inthe second part of this paper, I situate Nut within the global, multiculturalmythology of the Milky Way. Specifically, I show that Nut's roles in theafterlife and the autumn bird migration are consistent with similar rolesattributed to the Milky Way by other cultures. Finally, I show that Nut'sidentification with the Milky Way may even have echoes in contemporary Africanconceptions of the Galaxy.
银河的名称和在古埃及文化中的作用仍不清楚。一种观点认为,银河可能是天空女神努特的天体形象。在这项研究中,我采用了跨学科的方法来验证这种关联。在本文的第一部分,我将古埃及夜空的天文模拟与古埃及原始资料相结合,将女神努特映射到银河上。由于原始文献将女神的头部和腹股沟分别与西方和东方的地平线紧密联系在一起,我认为银河的夏季和冬季方位可以分别理解为努特女神躯干(或脊柱)和手臂的象征性标记。在本文的第二部分,我将坚果置于银河的全球多元文化选集之中。具体而言,我表明坚果在来世和秋季鸟类迁徙中的作用与其他文化赋予银河的类似作用是一致的。最后,我表明坚果与银河的认同甚至可能与当代非洲人对银河的认知相呼应。
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引用次数: 0
On the Superiority of the University of Arizona's Physics Club 论亚利桑那大学物理俱乐部的优越性
Pub Date : 2024-04-01 DOI: arxiv-2404.00975
E. Jesina, M. Harrison, H. Andras-Letanovszky, D. Krug, A. Golinkin, B. Kohn, T. Brown, A. Rose, P. Chiploonkar
We present an analysis on Physics Club's supremacy over the Astronomy Club atthe University of Arizona. Through a thorough investigation of each club'shistory and content, and subsequent diligent calculations, we have provenwithout a doubt that the Physics Club is superior to Astronomy Club.
我们分析了亚利桑那大学物理俱乐部对天文学俱乐部的优越性。通过对每个俱乐部历史和内容的深入调查,以及随后的认真计算,我们毫无疑问地证明了物理俱乐部优于天文学俱乐部。
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引用次数: 0
I'm in AGNi: A new standard for AGN pluralisation 我在 AGNi:AGN 复数化的新标准
Pub Date : 2024-03-29 DOI: arxiv-2403.20302
Andrew D. Gow, Peter Clark, Dan Rycanowski
We present a new standard acronym for Active Galactic Nuclei, finallysettling the argument of AGN vs. AGNs. Our new standard is not onlyetymologically superior (following the consensus set by SNe), but also boastsother linguistic opportunities, connecting strongly with relevant theology andstreamlining descriptions of AGN properties.
我们为 "活动星系核"(Active Galactic Nuclei)提出了一个新的标准缩写,最终解决了 "AGN "与 "AGNs "的争论。我们的新标准不仅在词义上更胜一筹(遵循了 SNe 所达成的共识),而且在语言上也有更大的优势,与相关神学紧密相连,并简化了对 AGN 特性的描述。
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引用次数: 0
Species Syzygy: Which Animal Has Seen the Most Total Solar Eclipses? 物种对称:哪种动物经历的日全食次数最多?
Pub Date : 2024-03-29 DOI: arxiv-2403.20175
Mark Popinchalk
A Total Solar Eclipse (TSE) is a shocking and sublime experience. In just aweek hundreds of millions of Homo Sapiens will attempt to see the 2024 eclipseas it stretches across the North American continent. However, while HomoSapiens may be uniquely positioned to understand and predict eclipses, they arenot the only species capable of observing them. The precise alignment of theMoon, Earth and Sun all existed well before humans. In the same way we sharethis planet capable of hosting life, the fantastic astronomical experiencesavailable on it are not exclusive either. We present a framework to calculatethe number of Total Solar Eclipses experienced by a species at any point inEarth's history. This includes factoring in the evolution of the Sun-Moon-Earthsystem, the duration the species is extant, and average population. Wenormalize over the geographic range by calculating an Astronomical WorldEclipse Surface cOverage MEtric (AWESOME) time. To illustrate this framework welook at the case study of the family Limulidae (Horseshoe Crabs) and estimatethe number of individuals that have seen an eclipse. We compare it to thenumber of current Homo Sapiens that view eclipses, and predict if it ispossible for another species to take the ''top'' spot before the final totalsolar eclipse in ~ 380 million years.
日全食(TSE)是一种震撼而崇高的体验。在短短一周内,数亿智人将试图看到 2024 年横跨北美大陆的日全食。然而,虽然智人在理解和预测日食方面可能具有得天独厚的优势,但他们并不是唯一能够观测日食的物种。月球、地球和太阳的精确排列在人类出现之前就已经存在了。就像我们共同拥有这个能够孕育生命的星球一样,在这个星球上所能获得的奇妙的天文体验也不是独一无二的。我们提出了一个框架,用于计算一个物种在地球历史上任何时期所经历的日全食次数。这包括太阳-月亮-地球系统的演变、物种存在的时间以及平均人口等因素。通过计算天文世界日食表面平均时间(AWESOME)对地理范围进行归一化。为了说明这一框架,我们以鲎科(Limulidae)为例进行研究,估算曾见过日食的个体数量。我们将其与目前观看日食的智人数量进行比较,并预测在约 3.8 亿年后的最后一次日全食之前,是否有可能有其他物种取代 "第一 "的位置。
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引用次数: 0
Vulcan: Retreading a Tired Hypothesis with the 2024 Total Solar Eclipse 火神用 2024 年日全食重提一个老生常谈的假设
Pub Date : 2024-03-29 DOI: arxiv-2403.20281
Michael B. Lund
The number of planets in the solar system over the last three centuries has,perhaps surprisingly, been less of a fixed value than one would think it shouldbe. In this paper, we look at the specific case of Vulcan, which was both aplanet before Pluto was a planet and discarded from being a planet before Plutowas downgraded. We examine the historical context that led to its discovery inthe 19th century, the decades of observations that were taken of it, and itseventual fall from glory. By applying a more modern understanding ofastrophysics, we provide multiple mechanisms that may have changed the orbit ofVulcan sufficiently that it would have been outside the footprint of early 20thcentury searches for it. Finally, we discuss how the April 8, 2024 eclipseprovides a renewed opportunity to rediscover this lost planet after more than acentury of having been overlooked.
在过去的三个世纪中,太阳系中行星的数量并没有人们想象中的那么固定,这也许令人吃惊。在本文中,我们研究了谷神星的具体情况,它既是冥王星成为行星之前的一颗行星,又在冥王星被降级之前就被废弃了。我们研究了导致它在 19 世纪被发现的历史背景、对它进行的数十年观测以及它最终从荣耀中跌落的过程。通过运用对天体物理学更现代的理解,我们提供了多种机制,这些机制可能充分改变了谷神星的轨道,从而使其脱离了 20 世纪早期对它的搜索范围。最后,我们讨论了 2024 年 4 月 8 日的日食如何为我们提供了一个新的机会,在被忽视了一个多世纪之后重新发现这颗失落的行星。
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引用次数: 0
Maximum Expected Reward Line If Non Specialist -- Law (for darts) 非专家情况下的最高预期奖励线 -- 法律(飞镖)
Pub Date : 2024-03-29 DOI: arxiv-2403.20060
Merlin Füllgraf, Jochen Gemmer
Different levels of expertise in playing darts can be well described simplyby the likeliness of a player to really hit the field he is aiming for. Wecharacterise this ability by introducing a spread to hit the targeted fieldwhose width scales inversely with the players skill and determine which fieldto aim for to find the highest expectation value for the score depending on theplayers' proficiency.
不同水平的飞镖高手可以简单地用飞镖手真正击中目标区域的可能性来描述。我们通过引入一个射中目标区域的范围来描述这种能力,该范围的宽度与玩家的技术水平成反比,并根据玩家的技术水平来决定瞄准哪个区域,以找到最高的期望值。
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引用次数: 0
期刊
arXiv - PHYS - Popular Physics
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