
It immediately follows that the gravitational binding energy, which is given by where M p = Rc 0 d 3 x g (3) ρ is the proper mass defined by the proper volume integral over the density, is (as expected) negligible in the weak coupling regime, i.e. before the BH formation. This is also obviously true for any modification of gravity that does not violate energy conditions, or, in field theoretical terms, that do not at least propagate ghosts.
We conclude that we can safely neglect the back-reaction of the gravitational field on the source in the weak coupling regime.

Appendix B: Strong Coupling Scale
In this appendix we want to estimate the strong coupling scale M *. The strong coupling scale is given by the minimal scale at which some scattering amplitudes become of order one. To put a bound on this scale, we consider a non-relativistic particle of mass M.
The gravitational potential can now be probed by an external static non-relativistic source τ µν = δ 0 µ δ 0 ν δ 3 (r − r ′ ) m and the strength of this interaction is set by the amplitude Whenever A/m ∼ 1 unitarity is violated, as the probability of this process per unit time and probe mass is of order one. For a given mass M v, there is always a radius r v at which the unitarity bound of the theory is violated, or in other words In the previous expression we used the fact that one can always spectrally decompose h 00 (r) to be h 00 (r) = 2 By Heisenberg principle, r v cannot be smaller that the Compton wavelength of a particle with mass M v, i.e. r v ≥ M −1 v. Therefore, the minimal M v is obtained by inverting i.e.
The last inequality is a direct consequence of that (B5), as explained in section (III), is related to the fact that any ghost free theory of gravity can only produce a stronger gravitational field than the one produced in the Einstein theory, for which ρ(s) = δ(s). By definition then the strong coupling scale of the theory is M * ≤ M v ≤ M P.Non-traditional haggadah, stencil print with illustrations.
Beside traditional kibbutz Haggadah texts: [Arise, you who stray in the desert, etc.] there is an interesting text relating to the tragedy of the Holocaust: [Today, when we see the seed of our father Abraham eye-to-eye in all the ghettoes in which they were pushed, the entire disintegration of a nation, the emptying of its content and the black death that ambushes it... the day that a person is sold to molech, the gentle souls rot from slavery and bondage'], an interesting text regarding the hatred of the "villains": "Rage, do not tire, tear, do not dry, stay lit forever in our souls, never fade away, as the blood seeps into the earth, the anger against the villains is not forgotten... and to the hearts of a thousand generations, we will write: Hate the beast to defeat it as it is exposed..."
There is also an interesting text about the gates of Palestine which were closed to the immigrants' boats. The text begins with a large letter ע with a picture of a boat, saying, "The flag bearers of the Jew's plight are abandoned at sea. They will not let the gates of the country close, they will not let the whole conscience relax. History chose the immigrant to fulfill its mission. What is the power of a poor immigrant against the mighty power of states and governments who do its will? But there is also a great country which will be helpless before the troubles and suffering of masses of people. The troubles of Israel are sent by ship upon the seas." and more.
[30] leaves. 21 cm. Spine reinforced with glue. Detached last page. Except for this, very fine condition.Train with a Safe and Practical progression
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To learn more about courses or private training in the Greater Philadelphia area and beyond, contact us today.Come on. Got to be at least some of you care enough about a new Diablo game to want to part with $300 for a statue. It's by Sideshow Collectibles, showing Diablo III's Barbarian in some kind of primal howl. Know that, yes, it really is $299, but know also that this is an unpainted prototype (so yeah, sorry, they're going to add colour to this as well) and that there are two versions, one sans helmet and a limited edition one with a helmet. Just like the game, there's no release date.This past week, America celebrated the 245th anniversary of the Declaration of Independence. This used to be a day of celebration and appreciation of the United States of America and all the accomplishments made over the last two centuries. Instead, it became a bash-fest for the usual suspects: leftists who don’t seek to reform the nation, but seek to destroy it.
Missouri Representative Cori Bush led the parade when she tweeted, “When they say that the 4th of July is about American freedom, remember this: the freedom they’re referring to is for white people.  This makes sense if you’ve never read the Declaration of Independence or know nothing about American and world history.
Bush followed up to the criticism of saying that black people are not free by tweeting, “We know what our own freedom looks like. End the slavery permitted under the 13th amendment. End the War on Drugs. End police violence. End health care, housing, and education apartheid. WE are the experts on our own liberation. And we won’t stop until it’s won.” It doesn’t take an expert to realize how racist this is.
For Bush and other leftists, it’s always about the end game: a complete destruction of America’s founding principles, including the Declaration of Independence and the Constitution. This is why they want to teach children about how America is evil under the guise of “teaching the truth about white supremacy.” Race is only relevant when teaching about how evil white people are. Does she support teaching about the hundreds of thousands of white men who died to create this nation, free the slaves, and defeat the Nazis? Obviously not.
This trend continues with Jamaal Bowman, Democrat Congressman from New York. “Let us reflect on the full story of America today. Black people were not freed in 1776. Despite a system stacked against us, we must continue to use our collective power to change that system.” Is that the “full story”? Or is the full story one of a country that fought for freedom, then fought for those ideals? Is the story one of worldwide slavery of multiple races, and that America led the charge in ending that practice, first in the North, then in the South? That historic take is too nuanced and complicated for a 280-character tweet, so Bowman ignores it.
Speaking of ignoring the accomplishments of America, Kamala Harris celebrated her first Independence Day as Vice President with a self-congratulatory video saying, “America is back.” That non-sequitorial line of no meaning is on brand for Harris. No mention of the accomplishments of a nation.
Joe Biden gave similar platitudes, claiming that “America is coming back” and declaring our independence “from this virus,” completely obfuscating what the meaning of Independence Day is. Other Democrats, like Ayanna Pressley, opted for a “if you have nothing nice to say, don’t say anything at all” approach to the holiday.
There are no philosophical prerequisites in the books for elected members of the country.  It is up to the citizenry to prevent these people from holding power. Not only should those making these anti-American statements be held accountable, we must hold their allies in local, state, and federal offices accountable as well.
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