We exploit the fact that the Weyl transform, as part of the duality transformation between Jordan and Einstein frames, depends upon D [ 11 , 12 ]. We apply the duality transformation to f R gravity in D dimensions, get the scalaron inflaton scalar potential, and after that dimensionally reduce it by integrating over compact dimensions to four infinite spacetime dimensions. The cosmological inflation is assumed to be taking place after compactification. Our paper is organized as follows.
In Sec. Demanding completeness in the field space determines the allowed values of n. Then we perform dimensional reduction of the derived scalar-tensor gravity to four spacetime dimensions. More generally, the question of why a decimal expansion repeats can now be seen as the question of why repeats every P-1, when P is prime.
It turns out that when the number in the denominator, M, is coprime to 10 has no factors of 2 or 5 , then the numbers generated by successive powers of ten mod M are always also coprime to M. As long as 10 is coprime to the denominator, this generates numbers that are also coprime to the denominator. If the denominator is prime, there are P-1 of these. A group is a set of things and an operation, with four properties: closure, inverses, identity, and associativity.
For example,. The numbers coprime to M have inverses. Writing that using modular math, if a and M are coprime, then there exists an x such that.
Why the Higgs and Gravity are Unrelated October 15, by Matt Strassler One of the questions I get most often from my readers is this: Since gravity pulls on things proportional to their mass, and since the Higgs field is responsible for giving everything its mass, there obviously must be a deep connection between the Higgs and gravity… right?
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| Mma betting odds explained baseball | For now, suffice it to say that the mass of the Higgs particle does not have a single, simple, understood source, and the curious feature is that its mass is so small — this is one aspect of the enormous puzzle called the hierarchy problem. Player 0 got 17 Player 1 got Blackjack! TABLE I: The ten ppN parameters, as well as their physical significance, and their value in GR and in semi-conservative theories, in which energy and momentum are conserved. The combination of GW measure- In contrast, the second method for testing GR is a ments with other experiments, as well as more sensitive bottom-up [5] approach. Player 2 got 18 Player 3 got 20 Player 3 pushed with 20 Game 2 The dealer's face-up card has the value of 8 The players' scores are: 15 17 16 The Dealer's face-up card has the value of 8. |
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