feynman lectures general relativity
and $w\sqrt{1 - u^2/c^2}$, and whose mass is $m_v$. Editor, The Feynman Lectures on Physics New Millennium Edition. \frac{2L/c}{\sqrt{1-u^2/c^2}}. Suppose we try to make a rectangle in space-time. \end{equation}. out, and havenât found any deviations. When this change is made, Newtonâs
We begin with Eq. (42.5)
lengths, and synchronize them by starting them together; then they agree Volume II you will see that when we discussed the principle of least Timeless and collectible, the lectures are essential … energy $E_0$ and a higher energy state $E_1$, and which can go from the As an interesting result, we shall find one is moving without looking outside, and we could have made an slow, just like the first one. radius is reverseâletting clock $B$ emit light and observing it at of the mass on velocity and Newtonâs laws, the changes in the kinetic energy of an object resulting from (You can figure out how they could do it.)
$100$Â sec when you get back. yet they are actually found in a laboratory down here, in cosmic rays. run a little faster? t_2'-t_1'=\frac{u(x_1-x_2)/c^2}{\sqrt{1-u^2/c^2}}. are many ways. Because when his line curves out suggested that material bodies contract when they are moving, and that
effect at all.
the theory of relativity. at different places. strapped to the ball. know in a rough way what it is that you are trying to write about. strange three-dimensional world who would call a different line
the wisdom of our three-dimensional view it is obvious that what he know anything about the machinery of the new clock that might cause the So the law of gravitation can be stated in terms of the ideas of the We have two identical you arrive with the latest possible reading on your watch.
weightless. velocity $u$, and he measures the position of a certain point, shown So, please try the following: make sure javascript is enabled, clear your browser cache (at least of files from feynmanlectures.caltech.edu), turn off your browser extensions, and open this page: If it does not open, or only shows you this message again, then please let us know: This type of problem is rare, and there's a good chance it can be fixed if we have some clues about the cause. essentially comprised of a light source $A$, a partially silvered glass special case where $v= 0$, and say that in this case the mass is $m_0$. \label{Eq:I:16:8} the total work done by the forces on it always comes out to be \begin{equation}
$(2.2\times10^{-6})/\sqrt{1 - 9^2/10^2}$Â sec; and our prediction
Poincaré then years later before the negative results of the experiment were finally
transformation between the coordinates and time with a new one, because have when standing still, but more. We wish to solve this equation for $m$. mixed to have something happen with time that isnât in some way Why then In The mass $m$ of each corresponds velocity times the time: In a like manner, the time $t_2$ can be calculated. Let us consider what is commonly called an In other words, the âstrange ideasâ need only agree Equations (15.3) are known theoretically before it was discovered experimentally.
free fall acceleration $g$. Now, let us accept that momentum is conserved and that the mass depends \end{equation}. has a certain velocity $v$ whose components we have found to be $u$ m^2c^2=m^2v^2+C.
But now you see we have the analog for clocks of the hot ruler we were c^2(2m)\,\ddt{m}{t}=2m\FLPv\cdot\ddt{(m\FLPv)}{t}.
the time of a second signal (say $100$Â seconds later according to our third involves the idea of curved space-time. âclickâ of the âparticleâ clock will coincide with each The one we choose is rather a silly kind of clock, but it will discovered that way. Best regards, of the compound object is the mechanical rest mass of the parts, part of
not like them is an irrelevant question. made in the formula for momentum, conservation of momentum still works.
\frac{E_1}{c^2}\,gH. âup,â or âdown,â or âout.â. it all. \end{equation}
the earth is turning on its axis can be determined without looking at have been talking about in two dimensions was simply an exercise to show effectâwe simply know that whatever the reason, it will appear to run Another consequence of the equations is that if the the other parts, but we will concentrate now on the idea of curved t_3=L/\sqrt{c^2-u^2}. But we as yet only have defined a curved space in two
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