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The gravity of Earth, denoted g, refers to the acceleration that the Earth imparts to objects on or near its surface. In SI units this acceleration is measured in metres per second per second (in symbols, m/s2 or m·s-2) or in newtons per kilogram (N/kg or N·kg-1). It has an approximate value of 9.81 m/s2, which means that, ignoring air resistance, the speed of an object falling freely near the Earth's surface increases by about 9.81 metres per second every second. This quantity is informally known as little g (contrasted with G, the gravitational constant, known as big G).
The gravitational constant, denoted G, is an empirical physical constant involved in the calculation of the gravitational attraction between objects with mass. It appears in Newton's law of universal gravitation and in Einstein's theory of general relativity. It is also known as the universal gravitational constant, Newton's constant, and colloquially Big G.[1] It should not be confused with "little g" (g), which is the local gravitational field (equivalent to the free-fall acceleration[2]), especially that at the Earth's surface; see Earth's gravity and Standard gravity.
According to the law of universal gravitation, the attractive force (F) between two bodies is proportional to the product of their masses (m1 and m2), and inversely proportional to the square of the distance (r) between them:
(PhysOrg.com) -- ESA's Integral gamma-ray observatory has provided results that will dramatically affect the search for physics beyond Einstein. It has shown that any underlying quantum 'graininess' of space must be at much smaller scales than previously predicted.
MOdified Gravity (MOG)
In physical cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: Λ) was proposed by Albert Einstein as a modification of his original theory of general relativity to achieve a stationary universe. Einstein abandoned the concept after the observation of the Hubble redshift indicated that the universe might not be stationary, as he had based his theory on the idea that the universe is unchanging.[1] However, the discovery of cosmic acceleration in the 1990s has renewed interest in a cosmological constant
Coulomb's law or Coulomb's inverse-square law, is a law of physics describing the electrostatic interaction between electrically charged particles. It was studied and first published in 1783 by French physicist Charles Augustin de Coulomb and was essential to the development of the theory of electromagnetism. Nevertheless, the dependence of the electric force with distance had been proposed previously by Joseph Priestley[1] and the dependence with both distance and charge had been discovered, but not published, by Henry Cavendish, prior to Coulomb's works.
Actually it might be less confusing if you used the MOG term Xploder mentioned, because that's what the author calls it in the following paper. If you guys want to read these papers they are pretty interesting. Here is Moffat's MOG paper claiming MOG can explain the bullet cluster without any dark matter:
Originally posted by CLPrime
I don't have all of the answers, but, in this case, I believe STVG fits well. If you'll notice, "rotation curves of spiral galaxies" is one of the things I said it accurately reproduces.
note he calls it MOG and note he says it accounts for the 8 sigma spatial offset "of the center of the total mass from the center of the baryonic mass" (see below).
Excellent fits to the two-dimensional convergence kappa-map data are obtained without non-baryonic dark matter, accounting for the 8-sigma spatial offset between the Sigma-map and the kappa-map reported in Clowe et al. (2006). The MOG prediction....
So basically his initial claim was that there's no way a modified gravity law can explain what he describes in that paper, though he has some caveats.
An 8-sigma significance spatial offset of the center of the total mass from the center of the baryonic mass peaks cannot be explained with an alteration of the gravitational force law, and thus proves that the majority of the matter in the system is unseen.
So, he's not rejecting the idea of Moffat's MOG altogether, or other modified gravity theories. But he's apparently directly contradicting the claim in Moffat's paper that MOG can explain the bullet cluster. Apparently Clowe still feels it can't be explained without dark matter even if MOG is true.
"As far as we're concerned, [Moffat] hasn't done anything that makes us retract our earlier statement that the Bullet Cluster shows us that we have to have dark matter," Clowe said. "We're still open to modifying gravity to reduce the amount of dark matter, but we're pretty sure that you have to have most of the mass of the universe still in some form of dark matter."
“This is a very important result in fundamental physics and will rule out some string theories and quantum loop gravity theories,” says Dr Laurent.
Originally posted by Kulkulkan
I have wondered what could be causing the universe to be accelerating in it's expansion. And have looked beyond classical means. Since there is not a plausible explanation for electro-magnatism I have decided to look in that direction. xploder first put me on to this theorum even if I had heard of it through other means. Neutron repulsion seems to account for alot of the holes in many theories and confound many. It seems to explain some phenomena such as superpyronics, superfluidity, and other anomoulous behaviour of helium. Could it account for such large scale mysteries as well? I do not have the math skills to determine as much and there are other concerns such as quantum spookyness and related effects? Oh well just typing out loud.
note he calls it MOG and note he says it accounts for the 8 sigma spatial offset "of the center of the total mass from the center of the baryonic mass".
Originally posted by Arbitrageur
Actually it might be less confusing if you used the MOG term Xploder mentioned, because that's what the author calls it in the following paper.
Originally posted by CLPrime
I don't have all of the answers, but, in this case, I believe STVG fits well. If you'll notice, "rotation curves of spiral galaxies" is one of the things I said it accurately reproduces.
The European Space Agency's Integral gamma-ray observatory has provided results that will dramatically affect the search for physics beyond Einstein. It has shown that any underlying quantum 'graininess' of space must be at much smaller scales than previously predicted.
Einstein's General Theory of Relativity describes the properties of gravity and assumes that space is a smooth, continuous fabric. Yet quantum theory suggests that space should be grainy at the smallest scales, like sand on a beach.
One of the great concerns of modern physics is to marry these two concepts into a single theory of quantum gravity.
Now, Integral has placed stringent new limits on the size of these quantum 'grains' in space, showing them to be much smaller than some quantum gravity ideas would suggest.
Some theories suggest that the quantum nature of space should manifest itself at the 'Planck scale': the minuscule 10-35 of a metre, where a millimetre is 10-3 m.
However, Integral's observations are about 10 000 times more accurate than any previous and show that any quantum graininess must be at a level of 10-48 m or smaller.