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和人工智能聊相对论会是什么体验?

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  • incinc
  • 大名鼎鼎
    14
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和人工智能聊相对论会是什么体验?
人工智能现在越来越发展迅速,于是,想想和人工智能聊相对论会是什么体验?
先用英文与Chat AI聊了几个问题,后来也用中文试了试。


  • incinc
  • 大名鼎鼎
    14
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我又接着问Hafele-Keating时钟实验中,是否时钟就是时间?
The Hafele-Keating experiment used the clock to indicate the time, however
the time is not a clock. Do the physics believe the clock change means time
changed?
回答如下(即:物理学家认为“时钟读数”就是时间):
According to the search results, time in physics is operationally defined
as "what a clock reads". The physical nature of time is addressed by general
relativity with respect to events in spacetime. Examples of events are the
collision of two particles, the explosion of a supernova, or the arrival
of a rocket ship□ Time can be considered to be the fourth dimension of
reality, used to describe events in three-dimensional space□ It is not
something we can see, touch, or taste, but we can measure its passage□
The Hafele-Keating experiment used atomic clocks to measure the time difference
between different inertial frames. Atomic clocks are very precise devices
that use the frequency of electromagnetic radiation emitted by atoms to
keep track of time. The frequency of these atoms is constant and independent
of their motion or position. However, according to relativity, the rate at
which time passes depends on the motion and position of the observer. Therefore,
two atomic clocks that are moving at different speeds or altitudes will
measure different amounts of time for the same event. This does not mean
that the clocks are changing, but rather that time itself is changing4.
The physics believe that the clock change means time changed because they
use clocks as a standard to measure time. If two clocks that are synchronized
at the same location show different readings after they have moved to different
locations, then it means that time has passed differently for them due to
relativity.


2025-05-17 01:30:06
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  • incinc
  • 大名鼎鼎
    14
该楼层疑似违规已被系统折叠 隐藏此楼查看此楼
于是,我又问:时间的假设在伽利略/牛顿与爱因斯坦的相对论是否一样?
Is the time assumption for Galilean/Newtonian and Einstein's relativity
the same?
回答如下(大意即:不一样;相对论假设时间与运动和观察有关,不同惯性系有不同
的时间,不能通过光信号把时钟同步起来。):
According to the search results, the time assumption for Galilean/Newtonian
and Einstein's relativity is not the same. In Galilean/Newtonian relativity,
time is assumed to be absolute and independent of the motion and position
of the observer. All inertial frames of reference share the same time and
can synchronize their clocks by exchanging light signals. The laws of physics
are invariant under the Galilean transformation, which preserves the form
of Newton's equations of motion□
In Einstein's relativity, both special and general, time is assumed to be
relative and dependent on the motion and position of the observer. Different
inertial frames of reference have different times and cannot synchronize
their clocks by exchanging light signals, because the speed of light is constant
in all frames. The laws of physics are invariant under the Lorentz transformation,
which preserves the form of Maxwell's equations of electromagnetism□ In
general relativity, time is also affected by gravity and the curvature of
spacetime□
所以,我继续追问,如果相对论对二系有不同的时间假设,那意味着相对论已经提
前假设了二系的时间不同了,如此而言,相对论怎么可以证明这种假设是正确的呢?
If Einstein's relativity has the different time assumption in different
inertial frame, it means that Einstein's relativity set the different time
assumption for the relativity at first. The question is that how to you
demonstrate the assumption is right by the theorist itself, and it could
not be approved the assumption.
回答如下(大意即:相对论并没有设定二系有不同的时间假设,而是根据相对性原理
与光速不变得出的结论--时间与运动和观察有关;时间的相对性不仅理论上的,实
验也证明了--Hafele-Keating时钟实验和相关重力波的影响。):
According to the search results, Einstein's relativity does not set the
different time assumption for the relativity at first, but rather derives
it from two postulates: the principle of relativity and the constancy of
the speed of light□ The principle of relativity states that the laws of
physics are the same in all inertial frames of reference. The constancy
of the speed of light states that the speed of light in vacuum is the same
for all observers, regardless of their motion or the motion of the light
source□ From these two postulates, Einstein deduced that time is relative
and depends on the motion and position of the observer□
The assumption of relative time is not just a theoretical construct, but
a physical reality that has been demonstrated by many experiments. For example,
the Hafele-Keating experiment showed that atomic clocks on airplanes moving
at different speeds and altitudes measured different amounts of time compared
to clocks on Earth4. Another example is the observation of gravitational
waves, which are ripples in spacetime caused by accelerating masses. The
detection of these waves confirmed that time is affected by gravity and
the curvature of spacetime5. These and other experiments show that Einstein's
relativity is consistent with nature and can make accurate predictions about
physical phenomena.


  • incinc
  • 大名鼎鼎
    14
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我又接着问,如果相对论没有时间上的假设而只有时间的结果,那我们怎么可以日常
用时钟测量时间?
if there is no time assumption in Einstein's relativity, but rather a time
consequence, how we currently or reality to use the a clock to measure the
time?
回答如下(基本还挺全面的又抄了一段话,重点是我们用时钟测量的是Proper time,
固有时。不同观察者对固有时有不同的认知。)
According to the search results, we can use a clock to measure time in relativity
by using the concept of proper time. Proper time is the time measured by
a clock that follows a specific path in spacetime. It is independent of
coordinates and is a Lorentz scalar, which means it does not change under
Lorentz transformations□ The proper time interval between two events on
a world line is the change in proper time. For example, if a clock travels
from event A to event B, then the proper time interval between A and B is
the time measured by the clock.
However, different observers may disagree on the proper time interval between
two events, because they may have different world lines or different frames
of reference. To compare the measurements of different observers, we need
to use coordinate time. Coordinate time is the time measured by a hypothetical
observer at rest at infinity, where the effects of gravity are negligible.
Coordinate time is dependent on coordinates and is not a Lorentz scalar,
which means it does change under Lorentz transformations□ Coordinate time
can be synchronized between different locations using light signals or other
methods.
In relativity, we can use a clock to measure the proper time along our own
world line, but we cannot assume that other observers will agree with our
measurement. We can also use coordinate time to compare our measurement
with other observers, but we have to take into account the effects of relativity,
such as time dilation and gravitational redshift.


  • incinc
  • 大名鼎鼎
    14
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于是,我给了一个例子,例如,年龄概念是不是固有时?
for example, we use the age conception, is the age the "proper time" in
the relativity?
回答是肯定的,即年龄概念是固有时。
于是,我又问:我们宇宙的年龄会不同吗?
回答如下(基本是宇宙的年龄会根据观察者而有所不同,需要洛变来一个协调时):
Yes, there are different ages for our university, depending on the observer.
The age of our university is the time measured by a clock that follows the
world line of our university. The age of our university is independent of
coordinates and is a Lorentz scalar. The age interval between two events
on the world line of our university is the change in age. For example, if
our university was founded in 1908 and we are in 2022, then the age interval
between the founding and now is 114 years, according to a clock that follows
the world line of our university.
However, different observers may disagree on the age interval between two
events on the world line of our university, because they may have different
world lines or different frames of reference. To compare the ages of different
observers, we need to use coordinate time. Coordinate time is the time measured
by a hypothetical observer at rest at infinity, where the effects of gravity
are negligible. Coordinate time is dependent on coordinates and is not a
Lorentz scalar, which means it does change under Lorentz transformations.
Coordinate time can be synchronized between different locations using light
signals or other methods.
In relativity, we can use a clock that follows the world line of our university
to measure its own age, but we cannot assume that other observers will agree
with our measurement. We can also use coordinate time to compare the age
of our university with other observers, but we have to take into account
the effects of relativity, such as time dilation and gravitational redshift.


  • incinc
  • 大名鼎鼎
    14
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因此,我提出科学家测定宇宙的年龄并不是根据相对论,而是其它科学理论和方法;
我们不可能给月球二个年龄,我们怎么可能在另外一个系来观察我们地球的年龄呢?
The fact is that the scientist has give us the age of our university by
other scientific evidence and not by different observers, for example, we
can't give the moon two different age. How can we go to another inertial
from to obvious the earth age?
回答如下(科学家用放射性测定年代法测定地球和月球年龄):
According to the search results, we can measure the age of the Earth by
using radiometric dating techniques. Radiometric dating is a method that
uses the decay of radioactive elements in rocks and minerals to determine
their age. Radioactive elements break down in a predictable amount of time,
called the half-life, which is the time it takes for half of the atoms in
a sample to decay. By measuring the ratio of the parent element to the daughter
element in a sample, and knowing the half-life of the parent element, we
can calculate the age of the sample□
Radiometric dating can be used on rocks from Earth, as well as rocks from
the Moon and meteorites. These rocks have not been altered by the rock cycle,
which is a process that recycles rocks on Earth by melting, erosion, sedimentation,
and metamorphism. The rock cycle can change the composition and structure
of rocks, and erase their original radiometric signatures. Therefore, rocks
from the Moon and meteorites can provide more reliable information about
the age of the Earth and the Solar System□
By using radiometric dating techniques on various samples from Earth and
beyond, scientists have estimated that the age of the Earth is about 4.54
billion years, and that the age of the Solar System is about 4.57 billion
years□ These ages are consistent with other geological and astronomical
evidence.
而关于相对论对放射性测定年代法的影响就是解释为不同观察者会有不同的结果,
只不过这中间的差距很小很小,可以忽略不计。如下:
According to the search results, relativity does affect radiometric dating,
but not in a way that invalidates the method. Relativity predicts that time
passes differently for different observers, depending on their motion and
position. This means that the rate of radioactive decay, which is measured
by the half-life of a radioactive element, can vary slightly depending on
the observer's frame of reference. However, this effect is very small and
negligible for most practical purposes. For example, a clock moving at a
speed of 10% of the speed of light would experience a time dilation factor
of about 0.995, which means that time would pass about 0.5% slower for the
clock than for a stationary observer. This would translate into a difference
of about 0.5% in the measured half-life of a radioactive element. However,
most radiometric dating techniques involve elements with very long half-lives,
such as billions of years. Therefore, a difference of 0.5% would be insignificant
compared to the uncertainties and errors involved in the measurement process□
Relativity also predicts that gravity affects time, causing it to slow down
near massive objects. This means that the rate of radioactive decay can
also vary slightly depending on the gravitational potential of the observer's
location. However, this effect is also very small and negligible for most
practical purposes. For example, a clock at sea level would experience a
gravitational time dilation factor of about 0.9999999993, which means that
time would pass about 0.0000000007% slower for the clock than for a clock
at infinite distance from Earth. This would translate into a difference
of about 0.0000000007% in the measured half-life of a radioactive element.
Again, this difference would be insignificant compared to the uncertainties
and errors involved in the measurement process□


  • incinc
  • 大名鼎鼎
    14
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关于时间问题,Chat AI并没有搞明白相对论关于时间的假设,即, 没搞明白相对论中为什么爱因斯坦提出二系都有一个走时一样的"标准钟"。


  • incinc
  • 大名鼎鼎
    14
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