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From: socratus on 12 Apr 2010 13:00 Spaces: Logic and illogic in SRT / GRT. In SRT 4D is: ds^2 = dt^2 - dx^2 - dy^2 - d^z^2. What is 4D in the Nature ? When 4D curved we have new D. What is new D in the Nature ? One comment: Your English is not clear to me. In both special relativity theory, and general relativity, there are four dimensions. We use the symbols x, y, z, and t. When these four dimensions are curved, we still have four dimensions, we do NOT have a new dimension / Morningf / ==============. I try to understand situation. Am I mistaken? 1. In SRT 4D is: ds^2 = dt^2 - dx^2 - dy^2 - d^z^2. What is 4D in the Nature ? Nobody knows. 2. But if we put mass in 4D - then 4D will curved. Question: Will all continuum 4D be curved or only small, local part of it ? 3. What experiment says? The experiment says: near a big concentration of mass ( like our Sun ) the space is curved. But in the beginning we decided to put the mass in 4D. And a bit later we forgot this decision and started to say, we dont know that the 4D in the Nature. So, in my opinion our Sun must be in 4D . 4. But what is 4D in the Universe ? 4D is Space between billion and billion stars and galactic. The whole mass of these billion and billion stars and galactic are very few. They cannot produce effect of Gravity in the whole Universe. They can produce effect of Gravity only in the small, local part of the whole Universe. 4D is the Vacuum (spacetime). Vacuum is some kind of Energy space in the condition T=0K. And when 4D (spacetime) curved we will have a new small, local D (space and time). New D in the Universe is some star ( like our Sun ), or some planet (like our Earth ). ========== . . Best wishes. Israel Sadovnik. Socratus. ================.
From: socratus on 18 Apr 2010 14:43
The book: Albert Einstein and the Cosmic World Order / Six lectures delivered at the University of Michigan in the Spring of 1962 / by Cornelius Lanczos Lanczos served as assistant to Einstein during the period 1928-29. http://en.wikipedia.org/wiki/Cornelius_Lanczos My brief comment on ' The lecture No. 3.' =============. Cornelius Lanczos wrote: SRT was created on two postulates. First postulate - there isn't absolute speed of movement. Every movement is relative. Second postulate - the speed of light ( quantum of light) is constant. Lanczos wrote: from the first point of view it seems that to unite these two different postulates is impossible, trying to do this is absolute nonsense. (!) But . . . . It was be done. (!) .. . It was needed the great Einstein's courage to do this unite. (!) How did Einstein connected them ? (!) 1 He solved this problem saying that Newton's absolute space and time are relative. 2 And these two postulates can be unite in spacetime- 4D. 3 As the result we can see different occurrences : ( for example: not only the physical parameters of particles can change but space and time too ) And Lanczos wrote: now we are accustomed to this conception and never, not for the world give up from such manner of thinking. ==================. Very well. There is only small problem in this conception: What is 4D? Nobody knows. S. |