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Schwarzschild equation from SR corrected Newtonian gravitation
On Jul 17, 3:32 am, Alen wrote:
General Relativistic gravitation is so fundamentally different from Newtonian gravitation, and yet the results produced by both are approximately the same. Gauss was the first to conceive that space might be curved. Riemann (pronounced ree-mahn in case if Waite is reading this) was the first to describe what curved space would be in mathematics. Riemann was also the first to realize a connection between gravity and curved space, but exploring that concept would not get him anywhere. Christoffel was the first to apply the concept of the shortest path to any geodesics and derived the Christoffel symbols. It was Ricci who designed a mathematical procedure to handcraft a mathematical artifact called the Riemann tensor based on the Christoffel symbols. After that, Levi-Civita was able to design another mathematical procedure to modify the Riemann tensor into the Ricci tensor. It would take the concept of spacetime to trigger a revolution in the study of gravitation. Armed with the curvature in the temporal dimension, Nordstrom was able to present the Ricci tensor operated on the curved spacetime (not just space) to form the basis of the Laplace equation. With the connection between the Ricci tensor and the Laplace equation established, it should be very obvious that another way to derive gravitation is to solve the Ricci tensor which consists of a set of 16 differential equations (however only 4 are needed if a diagonal metric is chosen). After all, one can derive Newtonian law of gravity by solving the single differential equation of the Laplace equation. There are actually infinite solutions to the field equations. Schwarzschild discovered the first one that manifests no black holes. The Schwarzschild metric (less complicated solution) was discovered by Hilbert a year or two later which manifests black holes. Even with the Schwarzschild metric, there are several integration constants to deal with. Using Newtonian law of gravity as a boundary condition, these integration constants can be solved. shrug Since Newtonian gravitation, which is based on a force field concept, can produce results so close to the very different theory of General Relativity, the question may naturally be asked: could some kind of corrected Newtonian gravitation produce precisely the same results as General Relativity? Oh, yes. You can modify the gravitational potential to explain the orbital anomaly of Mercury. Using the modified gravitational potential, you can go back to solve the Laplace equation with this modified gravitational potential and write down a new gravitational law. Paul Gerber was the first to apply this to explain Mercury’s orbital anomaly by modifying the gravitational potential to be dependent on the radius speed. Einstein the nitwit, the plagiarist, and the liar chose to add second order terms to the gravitational potential. This was exactly how Einstein the nitwit, the plagiarist, and the liar was bragging about solving Mercury’s orbital anomaly without referencing GR at all, and that compelled Hilbert to derive the field equations by adding a trace term and energy momentum tensor to null Ricci tensor. shrug The whole thing about GR is ad hoc, artificial, and fruitless. The whole purpose is to allow self-styled physicists to maintain their elite status quo in the name of science since almost all of them do not even know how the field equations are derived. Not to mention, their mathematical skills and mathematical concepts are deeply inadequate to recognize that there are infinite solutions to the field equations. Very fvcking sad indeed. shrug |
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Schwarzschild equation from SR corrected Newtonian gravitation
On Jul 17, 7:43*pm, Koobee Wublee wrote:
On Jul 17, 3:32 am, Alen wrote: General Relativistic gravitation is so fundamentally different from Newtonian gravitation, and yet the results produced by both are approximately the same. Gauss was the first to conceive that space might be curved. *Riemann (pronounced ree-mahn in case if Waite is reading this) was the first to describe what curved space would be in mathematics. *Riemann was also the first to realize a connection between gravity and curved space, but exploring that concept would not get him anywhere. Christoffel was the first to apply the concept of the shortest path to any geodesics and derived the Christoffel symbols. *It was Ricci who designed a mathematical procedure to handcraft a mathematical artifact called the Riemann tensor based on the Christoffel symbols. *After that, Levi-Civita was able to design another mathematical procedure to modify the Riemann tensor into the Ricci tensor. *It would take the concept of spacetime to trigger a revolution in the study of gravitation. *Armed with the curvature in the temporal dimension, Nordstrom was able to present the Ricci tensor operated on the curved spacetime (not just space) to form the basis of the Laplace equation. With the connection between the Ricci tensor and the Laplace equation established, it should be very obvious that another way to derive gravitation is to solve the Ricci tensor which consists of a set of 16 differential equations (however only 4 are needed if a diagonal metric is chosen). *After all, one can derive Newtonian law of gravity by solving the single differential equation of the Laplace equation. There are actually infinite solutions to the field equations. Schwarzschild discovered the first one that manifests no black holes. The Schwarzschild metric (less complicated solution) was discovered by Hilbert a year or two later which manifests black holes. *Even with the Schwarzschild metric, there are several integration constants to deal with. *Using Newtonian law of gravity as a boundary condition, these integration constants can be solved. *shrug Since Newtonian gravitation, which is based on a force field concept, can produce results so close to the very different theory of General Relativity, the question may naturally be asked: could some kind of corrected Newtonian gravitation produce precisely the same results as General Relativity? Oh, yes. *You can modify the gravitational potential to explain the orbital anomaly of Mercury. *Using the modified gravitational potential, you can go back to solve the Laplace equation with this modified gravitational potential and write down a new gravitational law. *Paul Gerber was the first to apply this to explain Mercury’s orbital anomaly by modifying the gravitational potential to be dependent on the radius speed. *Einstein the nitwit, the plagiarist, and the liar chose to add second order terms to the gravitational potential. *This was exactly how Einstein the nitwit, the plagiarist, and the liar was bragging about solving Mercury’s orbital anomaly without referencing GR at all, and that compelled Hilbert to derive the field equations by adding a trace term and energy momentum tensor to null Ricci tensor. *shrug The whole thing about GR is ad hoc, artificial, and fruitless. *The whole purpose is to allow self-styled physicists to maintain their elite status quo in the name of science since almost all of them do not even know how the field equations are derived. *Not to mention, their mathematical skills and mathematical concepts are deeply inadequate to recognize that there are infinite solutions to the field equations. *Very fvcking sad indeed. *shrug Idiot |
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Schwarzschild equation from SR corrected Newtonian gravitation
On Jul 17, 8:15 pm, Tonico wrote:
On Jul 17, 7:43 pm, Koobee Wublee wrote: On Jul 17, 3:32 am, Alen wrote: General Relativistic gravitation is so fundamentally different from Newtonian gravitation, and yet the results produced by both are approximately the same. Gauss was the first to conceive that space might be curved. Riemann (pronounced ree-mahn in case if Waite is reading this) was the first to describe what curved space would be in mathematics. Riemann was also the first to realize a connection between gravity and curved space, but exploring that concept would not get him anywhere. Christoffel was the first to apply the concept of the shortest path to any geodesics and derived the Christoffel symbols. It was Ricci who designed a mathematical procedure to handcraft a mathematical artifact called the Riemann tensor based on the Christoffel symbols. After that, Levi-Civita was able to design another mathematical procedure to modify the Riemann tensor into the Ricci tensor. It would take the concept of spacetime to trigger a revolution in the study of gravitation. Armed with the curvature in the temporal dimension, Nordstrom was able to present the Ricci tensor operated on the curved spacetime (not just space) to form the basis of the Laplace equation. With the connection between the Ricci tensor and the Laplace equation established, it should be very obvious that another way to derive gravitation is to solve the Ricci tensor which consists of a set of 16 differential equations (however only 4 are needed if a diagonal metric is chosen). After all, one can derive Newtonian law of gravity by solving the single differential equation of the Laplace equation. There are actually infinite solutions to the field equations. Schwarzschild discovered the first one that manifests no black holes. The Schwarzschild metric (less complicated solution) was discovered by Hilbert a year or two later which manifests black holes. Even with the Schwarzschild metric, there are several integration constants to deal with. Using Newtonian law of gravity as a boundary condition, these integration constants can be solved. shrug Since Newtonian gravitation, which is based on a force field concept, can produce results so close to the very different theory of General Relativity, the question may naturally be asked: could some kind of corrected Newtonian gravitation produce precisely the same results as General Relativity? Oh, yes. You can modify the gravitational potential to explain the orbital anomaly of Mercury. Using the modified gravitational potential, you can go back to solve the Laplace equation with this modified gravitational potential and write down a new gravitational law. Paul Gerber was the first to apply this to explain Mercury’s orbital anomaly by modifying the gravitational potential to be dependent on the radius speed. Einstein the nitwit, the plagiarist, and the liar chose to add second order terms to the gravitational potential. This was exactly how Einstein the nitwit, the plagiarist, and the liar was bragging about solving Mercury’s orbital anomaly without referencing GR at all, and that compelled Hilbert to derive the field equations by adding a trace term and energy momentum tensor to null Ricci tensor. shrug The whole thing about GR is ad hoc, artificial, and fruitless. The whole purpose is to allow self-styled physicists to maintain their elite status quo in the name of science since almost all of them do not even know how the field equations are derived. Not to mention, their mathematical skills and mathematical concepts are deeply inadequate to recognize that there are infinite solutions to the field equations. Very fvcking sad indeed. shrug Idiot you? |
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