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SergUpstart

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Everything posted by SergUpstart

  1. By time slowed you mean it takes longer according to that clock, right? The distant observer's clock runs faster than the one next to the tree. Also, it's not the weaker gravity, it's being higher up in the gravity well that causes time dilation. g could be constant and you would still have this effect. Yes, that's right, by weaker gravity, it meant that the remote observer is higher in the gravity well. But if we substitute time into the equation of motion according to the readings of the remote observer's clock, then the magnitude of the acceleration of gravity g will be different.
  2. Then he should also use a tape measure to measure the distance not from his laboratory. This means that it will switch from a relative coordinate system to an absolute one. In the absolute coordinate system, G is of course a constant.
  3. Let's do a thought experiment. A tree grows on planet X, an apple falls from it from a height H. There is an observer next to the tree, and in his frame of reference, the apple will fall in time Let another observer from outer space also observe the fall of an apple through a telescope. Due to the fact that the second observer is < br /> in a weaker gravity, in its frame of reference, the time of the apple's fall will be slowed down by a factor of k, and the height of H will also be increased by a factor of k. From this it can be seen that in the reference frame of a remote observer, the acceleration of gravity on the surface of planet X should be k times less. This change also corresponds to the dimension of the acceleration of free fall, m/s^2. But on the other hand where M and R are the mass and radius of planet X, respectively. In the reference frame of a remote observer, the radius of planet X will also increase by a factor k, and the acceleration of gravity on the surface of planet X g' will be This shows that in order for the acceleration of free fall on the surface of planet X in sesame starting a remote observer g' would be k times less than it is in the system of reference of the observer insider, requires that the gravitational constant G in the reference frame of an external observer would also k times greater than in the reference system of observer-insider. Otherwise, in the reference frame of the remote observer, the acceleration of gravity g' will not be in k, but in k^2 times less than it is in the frame of reference of the insider observer. This simple thought experiment proves that in the reference frame of a remote observer, the gravitational constant must change back proportional to the change in the distance/time scale. Next, we consider the LC oscillatory circuit. The capacity of the capacitor in the frame of reference of the insider observer is calculated by the formula. First, let's see how the capacitance of the capacitor will change in the reference frame of the remote observer, if we assume that the dielectric constant on changes. In the reference frame of an external observer, the area of the capacitor plates will increase by k^2 times, and the distance between the plates will also increase by k times, thus, the capacitance of the capacitor will increase by k times. Next, let's see how the inductance of the coil will change in the reference system of the remote observer, which is in the reference system of the insider observer it is calculated by the formula. First, let's see how the capacitance of the capacitor will change in the reference frame of the remote observer, if we assume that the dielectric constant on changes. In the reference frame of an external observer, the area of the capacitor plates will increase by k^2 times, and the distance between the plates will also increase by k times, thus, the capacitance of the capacitor will increase by k times. Next, let's see how the inductance of the coil will change in the reference system of the remote observer, which is in the reference system of the insider observer it is calculated by the formula. We see that the oscillation period increases by k times, as it should be. But the dimension of the electric constant F/m, so that in the reference frame of a remote observer, it should decrease by k times, then, in order for the speed of light to remain constant, the magnetic constant must increase by k times. Then, in the reference frame of the remote observer, the capacitance of the capacitor will not change, but the inductance of the coil will increase by k^2 times. Thus, the oscillation period of the oscillating circuit will also increase by k times in this case. To find out which of these two options is correct, we will introduce an active resistance into the oscillatory circuit so that the fluctuations in it become attenuated. Let's see how the resistance value changes when switching to the reference system of a remote observer. Resistance is the ratio the difference of electrical potentials to the current strength in the conductor. The dimension of the electric potential is Joule/Coulomb. The joule does not change when the time/distance scale changes synchronously, and the Сoulomb is not related to the time/distance scales at all, therefore, the difference of electrical potentials in the reference system of the remote observer will be the same as in the reference system an insider's observer. The strength of the electric current in the conductor is equal to the ratio of the charge that has passed through the cross-section of the conductor to the time for which this charge passed. The charge in the reference frame of the external observer will be the same as in the reference frame of the insider observer but the time will increase by k times. Thus, the resistance in the reference frame of the remote observer will be k times greater than in the reference frame of the insider-observer. In order for both the insider observer and the remote observer to see the same picture of damped oscillations on different time scales, it is required that the Q-factor of the oscillatory circuit in the reference systems of both observers would be the same. (Q-factor is a parameter of the oscillatory system that determines the resonance width and characterizes, how many times are the energy reserves in the system greater than the energy losses during the phase change by 1 radian.) In the first variant, when the dielectric and magnetic constants are considered unchanged, in the reference frame of the remote observer, the Q-factor the oscillating circuit will be And in the second variant, when the dielectric and magnetic constants change in different directions by k times, in the reference frame of the remote observer the Q-factor the oscillating circuit will be Thus, this thought experiment with an oscillatory circuit shows that in the reference frame of a remote observer, the dielectric and magnetic constants must change in different directions in accordance with the change in the time/distance scale. Then it is not difficult to show that the Planck constant will also change in the reference frame of the remote observer, since it is equal to For those who still do not believe that the numerical value of the gravitational constant in the reference frame of a remote observer changes back in proportion to the change in the time/distance scale, I propose to solve the following problem. On a planet with a mass of 5.97*10 ^ 24 kg, a radius of 6317000 m, an apple falls from a tree from a height of 5 m in 1 second, calculate the value of the gravitational constant G. And then calculate the value of the gravitational constant G' in the reference frame of the remote observer, in which the apple falls for 1.1 seconds from a height of 5.5 m and the radius of the planet is 6948700, respectively, and compare the obtained values of G and G'.
  4. And what about films that talk about the dangers of artificial intelligence? For example, "Terminator". In my opinion, the film "Youths in the Universe", shot in the USSR, draws a much more realistic scenario associated with this danger.
  5. To do this, the size of the accelerometer must be negligible compared to the curvature of ST. The accelerometer in the form of comet Shoemaker-Levy in July 1994 perfectly "discovered" the gravity of Jupiter.
  6. However, after 2008, the European Union had its own debt crisis, related specifically to the government debts of the PIGS countries
  7. If you have a debt of $ 1,000 at a rate of 1%, then you will have to spend $ 10 a year on debt servicing, and if the rate increases to 2% , then you will need $ 20 for debt servicing. And there is another problem with debts. If the population is heavily credited, then it can no longer take out loans for the purchase of goods, including electronics, cars and real estate. This should inevitably cause a decline in demand, which can develop into a sales crisis.
  8. The financial system is gradually losing its stability. The Fed already does not have the opportunity to significantly raise rates, since this will cause problems with debt servicing.
  9. I don't see anything good in this. Something must eventually happen, either hyperinflation or a parade of defaults. The question is when. How long can an atom be in an excited state? How long can water vapor be in a supercooled state?
  10. We should talk not only about the American, but in general about the world economy. Global debt could reach $300 trillion by the end of the year. https://psm7.com/money/mirovoj-dolg-mozhet-dostignut-otmetki-v-300-trln-uzhe-v-etom-godu.html
  11. You are confusing this. The gravitational potential of the Earth, not the car. If the car moves so fast that the square of its speed becomes equal to the gravitational potential of the Earth not on its surface, then the car will fly into the Solar System.
  12. The square of the velocity is not the gravitational potential, the gravitational potential is the square of the escape velocity.
  13. strictly speaking, the motion in a circular orbit is determined by the sum of the masses of the planets and the central body The speed (or the magnitude of velocity) relative to the central object is constant:[1]:30 {\displaystyle v={\sqrt {GM\! \over {r}}}={\sqrt {\mu \over {r}}}} where: {\displaystyle G}, is the gravitational constant {\displaystyle M}, is the mass of both orbiting bodies {\displaystyle (M_{1}+M_{2})}, although in common practice, if the greater mass is significantly larger, the lesser mass is often neglected, with minimal change in the result. {\displaystyle \mu =GM}, is the standard gravitational parameter. https://en.wikipedia.org/wiki/Circular_orbit But in most cases, the masses of the planets can be ignored. Perhaps the Earth too To this effect, you can also add the influence of tides. It is not a solid body. Due to the tides, it gradually loses the angular momentum, which should be compensated by the removal of the planets. In addition, the rotation of the planets around their axis is gradually synchronized with their rotation around the Sun, and this effect also leads to an increase in the radii of the orbits of the planets. But the impact of these effects is also insignificant.
  14. Well, then it follows simply from the definition of the gravitational radius R=GM/c^2 that the ratio of the gravitational radius of the universe to the gravitational radius of an electron is equal to the ratio of their masses. But the mass of the electron is about 10^-30 kg, and the mass of the Universe is about 10^56 kg. So if we use gravitational radii, their ratio will be different. Not so, the field strength is the gradient from the potential with a minus sign. And the force is the field strength multiplied by the mass of the test body ( if we are talking about the gravitational force in the Newton paradigm) or by the test charge (if we are talking about the electrostatic force).
  15. The electron does not have a certain radius and certain coordinates. An electron is not a ball. This follows from the Heisenberg uncertainty principle. Maybe you meant the radius of the orbit of an electron in a hydrogen atom??? But the electron does not have a clear orbit in the atom, at present physicists are talking not about orbits, but about orbitals.
  16. I briefly read the text that is indicated by the link in the first post of this topic. What I would like to note is that there is no mention of the costant alpha=1/137 in the text, and this is the most important physical constant.
  17. I'm sorry? But the main thing in this issue was the Mach principle, it was not discussed earlier.
  18. I remembered how in 1998, a couple of weeks before Russia's default, Sergey Kiriyenko (then he was the prime minister of Russia) came to the Gazprom office and demanded to pay all taxes.
  19. On this forum, they communicate in English, take the trouble to make a translation. With the help of Yandex-Translator, it will take a couple of minutes https://translate.yandex.ru ( На этом форуме общаются на английском языке, потрудитесь сделать перевод. С помощью Яндекс-Переводчика это займет пару минут https://translate.yandex.ru)
  20. Does the metric reflect the Mach principle? The fact that the gravitational potential of the Universe is the sum of the gravitational potentials of all particles in the universe is essentially a mathematical formulation of the Mach principle.
  21. The gravitational redshift can be expressed as where is the gravitational redshift, is the optical clock transition frequency, is the difference in gravitational potential, and } denotes the violation from general relativity. https://en.wikipedia.org/wiki/Gravitational_redshift It is impossible to do without the gravitational potential. If you look at the definition of the gravitational potential, then this is the energy that must be communicated to a resting body of a unit mass so that it flies to infinity. Probably, the fact that this energy is difficult to calculate from the GRT equation does not mean that this energy does not exist. In addition, it follows from the definition of the gravitational potential that it is equal to the square of the escape velocity from a given point in space. Does the escape velocity exist? I can't give you a link. Hawking's books do not contain formulas, so it is convenient to listen to them in audio format, which I did. But here I found the link http://kosmos-x.net.ru/news/kuda_rasshirjaetsja_vselennaja/2018-08-09-5403 It is in Russian, but now this is not a problem, since many browsers automatically translate the text. Here is a quote from there, Space expands only where the gravity of matter and energy are limited. Therefore, space does not expand inside galaxies or complex galactic groups, but only between galactic clusters and superclusters.
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