MadSci Network: Physics |
Hi Marcos The important question here, as you correctly pointed out, is where does the energy come from that allows things to accelerate in a gravitational field? The short answer is space itself, or more precisely, curved spacetime. In the 1600's when Isaac newton first proposed an equation that described Gravity space and time where perceived as separate things. You had 3 dimensional space; height, length and breadth or (x,y,z) and you had time t. The two things where separate and thought to be totally unchanging. This was the concept of absolute space and absolute time. In our normal everyday lives this seems to be true and it works as a good approximation for most things. Several very expensive space probes have successfully flown around the solar system using this approximation. In the late 1800's a chap called Robert Maxwell developed a set of equations that described how light behaved as a wave. These are the Maxwells Equations of electromagnetism and accurately describe how light or any other electromagnetic waves behaves. The problem is that Maxwell's equations do not work in a Universe as described by Newton. They fall apart. Given that Newton's equations work, and Maxwell's, it was obvious that one of them was not a full description of what was happening in the real Universe. It was also found out by experiment, by Michelson and Morley, that the speed of light (an electromagnetic wave) was constant regardless of the speed of the thing emitting the light. This led to someone called Lorentz proposing a modification of Newton's idea of an absolute Universe. According to Lorentz's equations how you measure time and the three spatial dimensions (x,y,z) depends on your speed (velocity) relative to the thing you are measuring. This led to one of the profound concepts in modern Physics. Albert Einstein proposed that the only thing that is constant in the Universe is the Speed of Light. Space and Time could be measured differently between different observers. That is, for two people moving at different speeds relative to each other, the length of a second is different and the length of a ruler is different. This idea is called the Special Theory of Relativity. It is called the Special Theory as it only deals with objects moving at constant velocity (or speed if you will). The next major development in this story was the development, by Minkowski, that space and time where not separate things affecting each other but part of a larger whole, called Spacetime. Spacetime is 4 dimensional and is what we normally call space, everything around us. This in turn led Einstein to propose his General Theory of Relativity. In General Relativity spacetime is treated as a problem in geometry. Using the assumption that acceleration can not be distinguished from the effects of Gravity and that spacetime is the same to all observors you get some startling results. What Einstein found is that if you have `flat ' spacetime and place a mass (A star or planet) in it then spacetime becomes curved, or warped. This curvature of spacetime has energy stored in it and is what we see as gravity. The standard analogy for this is to take a large stretched-out rubber sheet and place a heavy ball on it. The ball causes the rubber to bend into a well. Imagine a small ball placed onto the sheet. Where the sheet is less stretched there is less `potential' energy to extract. As you move down into the well there is more potential energy stored and this is converted into kinetic energy causing an object to accelerate towards the mass in the well. This is what we experience as Gravity. Further away from a mass there is less curvature of spacetime and less potential energy. A mass moving near the well will start to accelerate towards a mass as it converts the potential energy of curved spacetime into kinetic energy. For a very good description of this I would recommend getting Kip S. Thornes book, "Black Holes and Timewarps, Einstein's Outrageous Legacy". There are also some excellent on-line resources you can see as well. Suggest you have a browse of, Ned Wight's cosmology tutorial John Baez has many pages on Relativity, tutorials and the FAQ's for several physics groups on usenet. Read Einstein's own words on Gravity. Eric Baird's home page also lists HTML versions of some popular books on Gravity and relativity. Finally. If you need clarification or further details on any of this, please mail me at my personal address yours Dave Barlow
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