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Relativity and absolutism 2023-11-24 07:09:34

Relativity and absolutism

 

Under relativity, time and space become relative; but speed of light becomes absolute. Is it an overall improvement?

 

Special relativity was developed to resolve an inconsistency. But the introduction of special relativity created its own inconsistencies, such as twin paradox. The official position is that the paradox has been resolved due to acceleration. Is it true?

 

Suppose the time difference between the twins in a particular journey is k. Then the amount is attributed to the acceleration process. We can double the distance of travel. Then the time difference will be 2k. However, the acceleration process, turn around process and deacceleration process is identical. The amount of time attributed to acceleration must be k as well. This can’t account for the 2k time difference.

 

Overall, special relativity is a theory of uniform inertial motion. It is unrelated to acceleration. The acceleration processes only have transient influence on time dilation. But the magnitude of time dilation is linear with scale.

 

The first step toward resolving an inconsistency is to acknowledge the existence of the inconsistency.

 

 

The following is copied from Wikipedia on the resolution of twin paradox

https://en.wikipedia.org/wiki/Twin_paradox

 

Specific example[edit]

Consider a space ship traveling from Earth to the nearest star system: a distance d = 4 light years away, at a speed v = 0.8c (i.e., 80% of the speed of light).

To make the numbers easy, the ship is assumed to attain full speed in a negligible time upon departure (even though it would actually take about 9 months accelerating at g to get up to speed). Similarly, at the end of the outgoing trip, the change in direction needed to start the return trip is assumed to occur in a negligible time. This can also be modelled by assuming that the ship is already in motion at the beginning of the experiment and that the return event is modelled by a Dirac delta distribution acceleration.[19]

The parties will observe the situation as follows:[20][21]

Earth perspective[edit]

The Earth-based mission control reasons about the journey this way: the round trip will take t = 2d/v = 10 years in Earth time (i.e. everybody on Earth will be 10 years older when the ship returns). The amount of time as measured on the ship's clocks and the aging of the travelers during their trip will be reduced by the factor , the reciprocal of the Lorentz factor (time dilation). In this case α = 0.6 and the travelers will have aged only 0.6 × 10 = 6 years when they return.

Travellers' perspective[edit]

The ship's crew members also calculate the particulars of their trip from their perspective. They know that the distant star system and the Earth are moving relative to the ship at speed v during the trip. In their rest frame the distance between the Earth and the star system is α d = 0.6 × 4 = 2.4 light years (length contraction), for both the outward and return journeys. Each half of the journey takes α d / v = 2.4 / 0.8 = 3 years, and the round trip takes twice as long (6 years). Their calculations show that they will arrive home having aged 6 years. The travelers' final calculation about their aging is in complete agreement with the calculations of those on Earth, though they experience the trip quite differently from those who stay at home.

Conclusion[edit]

Readings on Earth's and spaceship's clocks

Event

Earth
(years)

Spaceship
(years)

Departure

0

0

End of outgoing trip =
Beginning of ingoing trip

5

3

Arrival

10

6

No matter what method they use to predict the clock readings, everybody will agree about them. If twins are born on the day the ship leaves, and one goes on the journey while the other stays on Earth, they will meet again when the traveler is 6 years old and the stay-at-home twin is 10 years old.

Resolution of the paradox in special relativity[edit]

The paradoxical aspect of the twins' situation arises from the fact that at any given moment the travelling twin's clock is running slow in the earthbound twin's inertial frame, but based on the relativity principle one could equally argue that the earthbound twin's clock is running slow in the travelling twin's inertial frame.[22][23][24] One proposed resolution is based on the fact that the earthbound twin is at rest in the same inertial frame throughout the journey, while the travelling twin is not: in the simplest version of the thought-experiment, the travelling twin switches at the midpoint of the trip from being at rest in an inertial frame which moves in one direction (away from the Earth) to being at rest in an inertial frame which moves in the opposite direction (towards the Earth). In this approach, determining which observer switches frames and which does not is crucial. Although both twins can legitimately claim that they are at rest in their own frame, only the traveling twin experiences acceleration when the spaceship engines are turned on. This acceleration, measurable with an accelerometer, makes his rest frame temporarily non-inertial. This reveals a crucial asymmetry between the twins' perspectives: although we can predict the aging difference from both perspectives, we need to use different methods to obtain correct results.

Role of acceleration[edit]

Although some solutions attribute a crucial role to the acceleration of the travelling twin at the time of the turnaround,[22][23][24][25] others note that the effect also arises if one imagines two separate travellers, one outward-going and one inward-coming, who pass each other and synchronize their clocks at the point corresponding to "turnaround" of a single traveller. In this version, physical acceleration of the travelling clock plays no direct role;[26][27][19] "the issue is how long the world-lines are, not how bent".[28] The length referred to here is the Lorentz-invariant length or "proper time interval" of a trajectory which corresponds to the elapsed time measured by a clock following that trajectory (see Section Difference in elapsed time as a result of differences in twins' spacetime paths below). In Minkowski spacetime, the travelling twin must feel a different history of accelerations from the earthbound twin, even if this just means accelerations of the same size separated by different amounts of time,[28] however "even this role for acceleration can be eliminated in formulations of the twin paradox in curved spacetime, where the twins can fall freely along space-time geodesics between meetings".[7]

Relativity of simultaneity[edit]

A red and blue lines on a black background Description automatically generatedMinkowski diagram of the twin paradox. There is a difference between the trajectories of the twins: the trajectory of the ship is equally divided between two different inertial frames, while the Earth-based twin stays in the same inertial frame.

For a moment-by-moment understanding of how the time difference between the twins unfolds, one must understand that in special relativity there is no concept of absolute present. For different inertial frames there are different sets of events that are simultaneous in that frame. This relativity of simultaneity means that switching from one inertial frame to another requires an adjustment in what slice through spacetime counts as the "present". In the spacetime diagram on the right, drawn for the reference frame of the Earth-based twin, that twin's world line coincides with the vertical axis (his position is constant in space, moving only in time). On the first leg of the trip, the second twin moves to the right (black sloped line); and on the second leg, back to the left. Blue lines show the planes of simultaneity for the traveling twin during the first leg of the journey; red lines, during the second leg. Just before turnaround, the traveling twin calculates the age of the Earth-based twin by measuring the interval along the vertical axis from the origin to the upper blue line. Just after turnaround, if he recalculates, he will measure the interval from the origin to the lower red line. In a sense, during the U-turn the plane of simultaneity jumps from blue to red and very quickly sweeps over a large segment of the world line of the Earth-based twin. When one transfers from the outgoing inertial frame to the incoming inertial frame there is a jump discontinuity in the age of the Earth-based twin[22][23][27][29][30] (6.4 years in the example above).

 

 

 


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作者:jingchen 留言时间:2023-11-24 19:39:17

Michelson–Morley experiment

I read about Michaelson-Morley experiment. It is a nice experiment. It uncovered an inconsistency in the aether theory. Einstein commented: "If the Michelson–Morley experiment had not brought us into serious embarrassment, no one would have regarded the relativity theory as a (halfway) redemption."

Relativity theory resolved one inconsistency. But it has its own inconsistencies. Two inertial systems are moving against each other. Each system would consider the other one has time dilation. This inconsistency is never truly resolved. This inconsistency doesn’t even need any experiment to uncover. It is a logic inconsistency. It is a more serious inconsistency. But it has not brought the physics community into serious enough embarrassment even to talk about it.

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· 鼓励生育的政策能提高生育率吗?
· 政府,家庭,和人口结构
· 从无籽西瓜说起
· 从炒股谈起
· The meaning of life
【诗词(七)】
· Edge
· Remember
· The power
· Truth in science and religion
· Happy in the backyard
· 野心
· Gene
· Intend
· RIP
· Nagging from an old man
【语言(八)】
· H, 日和 Helio
· Duo and double means two
· Good, gooder; bad, better
· 相似的形状,相似的读音,相关的
· 家
· 新年话创新
· Language, languish, anguish
· 钟表
· How to learn English effective
· 不通则痛,通则不痛
【科学(六)】
· 请教一个统计学的问题
· 数学及其应用
· On amateur and academic resear
【经济(四)】
· How much we need to save for r
· How pension system destroys ou
· Shall we buy insurance?
· An Entropy Theory of Value
· Total value of gold and some
【音乐】
· Suo Gan
· Mainstream rappers
· A Candle in the Wind
· 缺憾之美
· Swing low
· Going home
· River of no return
· Raw and refined: Two versions
【经济(三)】
· Own something small wholly or
· Money as a performance enhance
· How much we pay for retirement
· How to reduce anxiety over fi
· How to trim a tree or an econo
· A critique of economic theory
· The most depressing (exciting)
· On the concepts of earning, in
· 数学:应用和乐趣 (修订版)
【诗词(六)】
· Spring up and fall down
· Press
· Within and Without
· Verse
· Front
· Heroine and Heroin
· Sterilize
· Win
· Low
· Port
【诗词(五)】
· Pet and Pest
· Ease
· 忘,妄,望
· Seasons
· Envelope and develop
· Sorrow
· Home
· Haze
· Ex and Re
· Edge
【科学(五)】
· Why highly educated women and
· On the concept of perfectness
· Reflection from a riddle
· On averaging denominators
· Integrating mathematical finan
· 苦难是最好的学校
· Read The need for a new public
· The earth is a gigantic batter
【语言(七)】
· 想象和相象
· 汉语和英语读音的相似
· 双字词的来源
· 标致和婊子
· Credible and Incredible
· 英语和汉语类似的构词法
· Lect
· Excite and Incite
· Forget and For Get
· Lax and relax
【杂谈(三)】
· 经纬和泾渭
· Heretics are true believers
· Faith or good deeds
· 养儿还是育女?
· Should adult children stay wit
· 女儿制作的录像
· 儿子唱的rap
· 女儿带着女儿来看我们,写的一段
· Frills
【语言(六)】
· 腿脚和退却
· Copulate, copy, populate
· Emergence and emergency
· I am, I love
· Invent
· Prevent
· Repair
· Tart and top, start and stop
· S is about
· 同样的世界,不同的视角
【诗词(四)】
· On the wisdom of wisdom teeth
· Stalin Rap to Hitler and Mao
· 夕阳
· Sunshine
· Temp
· Longing
· Part
· Omen
· Winter night in the north
· An Old Car
【诗词(三)】
· Snow
· My Dear Sun
· When
· Cut Bank
· When you try
· Winter in the deep north
· 你家的月亮
· Good bye, my friends
· 当生命之火慢慢熄灭
· 公猫
【语言(五)】
· 兴趣,利益和利息
· Over 和 Overture
· Ruler
· Inspire and Expire
· 哥哥的歌
· Rest
· Decadence and decay
· 阀:大人物是干什么的?
· 奴隶的心
· 为什么我们喜欢压韵?
【语言 (四)】
· Screw and screwed
· 黄
· Kind
· Sun and moon
· Free
· Norm, normal and Normans
· Bella and bellum
· Two meanings of like
· What is a theory?
· What is man?
【经济 (二)】
· Reading James Galbraith’s The
· 为他人作嫁衣裳:贸易强国的共同
· 什么是内需不足?
· 关于持续的贸易不平衡
· A long tradition to connect th
· On persistent trade imbalance
· On green economy
· What are rights: Some reflecti
· On Risk Management
· 怎样计算股票的融资成本和预期回
【杂谈 (二)】
· There is more brainwashing in
· 看女儿
· 女儿初为人母
· Weather and climate
· 老三的一篇短文
· When defects become an advanta
· Service of necessities and ser
· 女儿的帖子
· 荷花和塘泥
【科学(四)】
· Predictions in social sciences
· 数学的现状和未来
· Social structures: A perspecti
· 温度和情绪 (temperature and t
· Learning, memory and decision
· The Least Action Principle: It
· When an electron falls to a pr
· 为什么鱼比肉更容易煮熟?
· 一篇关于The Unity of Science a
【诗词(二)】
· I’d rather
· 日暮
· 池塘里的污泥
· Over and under
· Bond and bondage
· 夕阳
· Dandelion
· 早点睡觉
· 在我慢慢褪色的世界里
· 狮的低吟,诗的回声
【语言(三)】
· 相似的单词,不同的意思
· 小米和 millet
· AM is love
· 什么是不够
· Easter: 词的来源
· 论所谓的正能量 (On being posit
· Terr 是土地
· Radical 的意思是什么?
· 努力的奴隶
· Tri 是三
【诗词】
· 风筝:孩子离家
· 篝火
· 落日:致老去的人们
· 杜达尔和玛丽亚
· Deep North
· Driving crazy
· 燃烧和发烧
· 满月的冬夜
· 献给空巢的父母
· Burning and burn out
【健康(三)】
· Mentally stimulating
· On obsessive compulsive disord
· 吃盐和生育
· Ginger and gingerly
· Principle Based Medicine
· Why we need pain?
· 关于自闭症
· 健康的定义
· 针灸的原理
· 情感的守恒定律
【科学(三)】
· 数学及其在社会科学中的应用
· 为什么光线弱的地方会觉得浪漫?
· 美是平均,美是不变的性质
· 颜色和温度
· 简洁就是美
· 栖息之地:健康的树和濒死的树
· 落红不是无情物,化作春泥更护花
· 为什么肥沃的土地上很难找到先锋
· 不平等,效率和系统维护成本
· 生物学的统一理论
【语言(二)】
· 论精美
· 铁 (fer)
· 家
· 我,倭,和,we
· 鹪鹩,娇娆,wren, 人,文
· 牡丹,Botan, Botany
· 人多则移
· 英语中的几个象形词
· 他和它
· 趣味英语:一个不引人注意的前缀
【科学(二)】
· 基因突变不是完全偶然的
· 生物学和生态学的结合
· Energy consumption and cost
· 人类的平均寿命能到一百岁吗?
· 蝴蝶效应并不存在 (兼论偏微分
· 科学与经济学的统一
· 意识: 一个经济学和物理学的理论
· 诺奖得主年龄的变迁
· 学科细分: 社会停滞和衰退的表征
【健康(二)】
· On cortisol and other drugs
· 为什么负氧离子有益健康
· 吃冰和减肥
· 实用生理学
· 为什么晒太阳有好处?
· 为什么练功经常用圆型姿式?
· 脉搏中包含多少信息?
· 外科手术不伤身体吗?
· 头痛医脚
· 怎样才能改善内脏的功能
【人口(二)】
· 政府的法律和自然的法律
· 出生率,平均寿命,生活水平和社
· Holmes stories: The number of
· 个体年龄和社会年龄
· 多子多福
· 人口塌陷: 真正的悲剧
· 华人的高智商和低生育率
· 走出非洲
· 生命就是竞争
· 什么是文化
【人口】
· 聪明的代价:亚当和夏娃的故事
· 为什么大道至简
· 论移民
· 人口问题文章的一个汇总
· 人口警报?
· 人口红利和人口投资
· 多生孩子: 靠政策,还是靠自己?
· 华而不实和春华秋实
· 劝君莫惜金缕衣,劝君惜取少年时
· 政府越大,出生率越低
【政治】
· 关于全民基本收入
· 六四还是六三?
· Iron and blood
· 华人参政不够踊跃吗?
· 谁得益于大政府?兼论美国大选
· 印一百元假钞是犯罪,印一万亿真
· 量化宽松和猪肉注水
· 百年大势和英国脱欧
【杂谈】
· 搭错车
· 龙图腾的含义
· 个体的肥胖和社会的肥胖
· 在什么年纪,做什么事情
· 早晨出行和下午出行
· 男学生在哪里?
· 贱和基本
· 少数的重要性
【经济】
· 效用函数是什么样子的?
· 经济学理论不应该建立在拓扑学基
· 谁是二十世纪最伟大的经济学家?
· 谁是十九世纪最伟大的经济学家?
· 非平衡态经济学理论简介
· 凯恩斯主义适用的环境
· 从日本的负利率谈起
· 关于利率
· 生产过程各要素之间的关系
· 平衡态和非平衡态经济学
【加拿大】
· 一个登山爱好者的历险 (附视频
· 回归
· 海达圭游记
· 天尽头
· 红河谷歌词的变迁
· 洄游的三文鱼
· 碧西(BC)的风景和阿省的风景
· 中加教育比较
【语言】
· 决定和 decide
· 仇的两种读法
· 小儿子教我读书
· 汉语单词的起源
· 舒服和束缚
· 姓张的人为什么这么多?
· 纽,妞,丑,new, 牛
· 姜太公的故事
· 语言的产生和演变
【科学】
· 科学研究:缺的是钱吗?
· 数学:应用和乐趣
· 汉字和科学研究
· 社会生物学与社会
· 有趣的化学
· 蒲公英和科学研究
· 当代没有科学大师吗?
· 数学,美和现实
· 现实世界:理解数学的金钥匙
【健康】
· 按摩脚底为什么这么重要?
· 中医的疗效(续)
· 从蛋白质的不同分解途径看痛风的
· 中医的疗效
· 从哮喘的治疗谈预防
· 实用生理学
· 什么是酸性食物?
· 肥胖和内脏功能
· 呼吸的方法
· 关于抑郁
【科学与经济】
· 阅读The Unity of Science and E
· 信息和熵的等价性
· 知觉的简单和数学的简单
· 一流的研究: 真那么难吗?
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