This post is for readers who are very much comfortable with Mathematics as well as other curious people.
In the following link The fields medal winner Terence Tao gives the proof of Einstein’s E=mc^2 in pure Mathematical sense. Einstein’s argument is, a physical argument rather than a mathematical one. Here Terence Tao uses the language and formalism of pure mathematics
https://terrytao.wordpress.com/2007/12/28/einsteins-derivation-of-emc2/
https://terrytao.wordpress.com/2012/10/02/einsteins-derivation-of-emc2-revisited/
In the following link The fields medal winner Terence Tao gives the proof of Einstein’s E=mc^2 in pure Mathematical sense. Einstein’s argument is, a physical argument rather than a mathematical one. Here Terence Tao uses the language and formalism of pure mathematics
https://terrytao.wordpress.com/2007/12/28/einsteins-derivation-of-emc2/
https://terrytao.wordpress.com/2012/10/02/einsteins-derivation-of-emc2-revisited/
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Aayushmaan Shrivastava Joe in your point of view is time travel possible? -
Aayushmaan Shrivastava Can anybody can relate me that how time travel is possible ?
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Siddhesh Naik Time is hard to define. A true science lover will not go in it’s mutual meaning. -
Gabriel Orcena A.Shrivastava, Sir, actually, whether we like it or not, we are “travelling through time” everytime. i.e. we are all moving towards the “future” (even if we are all perfectly still). Also, if you look at the stars at the night sky, what you are actually looking at is the “past”. For example, if you look at the Sun “now” (pls don’t), what you see is already roughly 8 minutes past. -
Gabriel Orcena But if you mean “time travelling to the past or to the future”, as far as I know and understand, is practically and physically impossible. It will also violate 2nd Law of Thermodynamics. But, mathematically, it has been proven many times also, that if you move with relativistic speed or close to “c”, you can travel through the “future” in no time at all. But that is actually not “time travel”, you have just been “fast forwarded” to the future”. Now,if you mean an instant travel through time by means of “wormhole”, that is not “time travel” alone. That is, travelling through “space and time”. That is, if wormholes exist.
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Gabriel Orcena Also, if wormholes exist, mathematically, it connects different space-time or universes hypothetically, so two ends exist in different timeline and universes. This is what i meant that you will not travel through time alone,but through different universes.
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नीरज विश्वकर्मा Time is nothing but defined by us -
Prabhat Kumar Root over -1 is unit imaginary number… right? If two unit imaginary number multiplies, we get real number -1. Similarly, if two related imaginations multiplies, something real and concrete may pop up…. and that can be explained by complex space in mathematical jargon. -
Prabhat Kumar Further, time dilates when speed increases and is comparable to c/2 or the like….. means someone, say A, travelling with c/2 will feel that less time is passed in his frame of reference whereas more time has passed in other frame, say B, of reference which is moving slower compared to one travelling with c/2. So, after a trip when A reaches B, B should appear older than A. Means we say that A has jumped into his future.
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Gabriel Orcena The problem is that, not all mathematical solutions have real physical equivalent or meaning.
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Prabhat Kumar Further, In case A moves with speed greater than speed of light, c. In that case mass and time dilation becomes virtual as they come under that sqrt of negative entity and this becomes complex and this phenomena is not real…. Attaining c is impossible as at this mass would be infinite and beyond that there will be no more physical existence of object… But as I said, for calculation purpose we can put things under imaginary and complex object and in subsequent multiplication… things may come out in reality and one can land in past….
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Prabhat Kumar Again, I have a doubt…. we say light has very fast speed and it is constant 3 lacs km / s. Do we know as to what is the speed with which our galaxy is moving? Let’s just think of the centre point of universe which might be relatively stable… and with respect to that, our galaxy might be moving with 0.2 times c, the speed of light. Now, we are already under the gravity of relativistic mechanics….
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Ravi Roy Prabhat Kumar
“Similarly, if two related imaginations multiplies, something real and concrete may pop up…. and that can be explained by complex space in mathematical jargon.”
Imaginations are not Mathematical artifacts so it is meaningless to talk about complex analysis in it.
“means someone, say A, travelling with c/2 will feel that less time is passed in his frame of reference “
No, time passes normally in your own reference frame. Everything will seem normal in your frame. The difference is observed only if you compare your clock with the clock at rest.
” Means we say that A has jumped into his future.”
No, it simply means that time has passed slowly for him, from the others frame of reference. There is no skipping of time. -
Prabhat Kumar multiplication of 2 imaginations will always be a substance…. but you will have to multiply….. and just don’t add…..
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Prabhat Kumar Yes, you are true Ravi, Even super computers, work on real data or at max simulations…. But human brain is well efficient to work/program on real/imaginary combo and this depends on training of neurons in our left and right brains….
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George Dishman The product of two imaginary numbers will produce a real result Ravi which I’m sure you know, ix * iy = -xy. Is there some confusion due to language here? -
Ravi Roy Ah! Yes George i have no problem with that. That’s a basic Mathematics,Actually i was referring to his comments where he said
“Root over -1 is unit imaginary number… right? If
two unit imaginary number multiplies, we get real
number -1. Similarly, if two related // imaginations multiplies //, something real and concrete may pop up…. and that can be explained by complex
space in mathematical jargon.”
I think he meant here that, if two IMAGINATIONS are multiplied, then something real can pop up. On that context i told him that, imaginations are not Mathematical artifacts which will obey Mathematical rules of Complex analysis. -
George Dishman Exactly, it is not clear whether by “imaginations”, he means “imaginary numbers” or products of the human imagination.
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Prabhat Kumar Why you ppl believe that mathematics is just number theory and physics is the stuff…… mathematics itself is 1st language of this universe and is very static unless we start deviating from something quantifiable to zero or infinity…. or complex (sqrt of negative space, which has their own geometry)
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Prabhat Kumar Further, Albert Einstein was a firm believer in imaginations and he said… with logic… I can go from point A to point B. But with imagination, I can go anywhere…. Off course, he must be taking about complex space, a combination of (real,imaginary) complex
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Ravi Roy I have said that many times in the group, that Imagination is important but without complete knowledge it is useless and will always lead you to wrong conclusions. And The Mathematics i have read has no rules or theorems which tells how to multiply the imagination. If you know, please enlighten us. How to multiply two or more imaginations, what rules govern them.
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Ravi Roy One thing I agree that Mathematics is the language in which you can understand the universe, but for that you ought to know the rules of Mathematics and their respective domain of applicability. I (and most probably all) don’t know how to multiply the imagination with imagination.
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Prabhat Kumar Well I agree with you…. even super computer can’t multiply imaginations… but human brain does that in our day to day life…, you yourself admitted that without *complete knowledge (real space), imagination will bring back in real space… And, in today’s industry, every1 has incomplete knowledge about the every other object… And if we can not fund to get the complete knowledge, we can apply historical data, machine learning algo/ prediction model, and a variety of assumptions to conclude the matter…. which can be further as expected or may have deviation…. what assumption an expert can take is beyond the imagination of robot/ super computer as on today’s date.
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Ravi Roy Super computers are not meant to multiply imaginations my friend so it is meaningless to compare with them.
“you yourself admitted that without *complete knowledge (real space), imagination will bring back in real space… “
And who told you that real knowledge is real space. Infact what is real space in physics? Without knowledge you will end up to wrong conclusions. I didn’t say it brings you to real space. It means nothing in physics.
The problem is that your are forcefully trying to use Mathematics where it can’t be used. Mathematics is based on certain axioms and well defined theorems. They don’t apply to human imaginations directly. You need to model your imagination by known theorems of Mathematics. You can’t just say that i can multiply imaginations in xyz plane. It means nothing. -
Prabhat Kumar I concluded it with my imagination….. 2yr back, as against the calculations of the scientific community…. http://meri-madhushala.blogspot.in/…/big-bang-theory-is…
meri-madhushala.blogspot.com -
Prabhat Kumar And today: http://phys.org/…/2015-02-big-quantum-equation-universe…
(Phys.org) —The universe may have existed forever,…phys.org -
Wolf Dancer Prabhat, science is the process of beautiful ideas destroyed by ugly facts. You apparently want to make a meal out of the fact that quadratic equations can have irrational roots. This is yesterday’s news.
Frankly you need to study more and learn the facts before you presume to rewrite physics. If not, you are just going to make one textbook mistake after another. For example you say:
“Let’s just think of the centre point of universe which might be relatively stable… and with respect to that, our galaxy might be moving with 0.2 times c, the speed of light.”
with multiple mistakes in one sentence. First, there is no center. You will notice me complain about failure to reasonably describe this, but you can’t give it a center. However if you could, and your condition existed, we would live in a Godellian Universe which is a big time machine. We don’t. Finally, if you studied more first you would be aware of other relevant principles and facts. For example our own Galaxy does rotate and the stars near the center move at about .33C or 1/3 light speed. You say:
“we say light has very fast speed and it is constant 3 lacs km / s. Do we know as to what is the speed with which our galaxy is moving?”
which implies you think that galactic or other movement affects a measurement of light speed, and you think there is absolute space. Our Galaxy and the objects in it move only relative to other galaxies or other objects.
So yes it is great to have ideas, but you must develop them based on the correct facts and principles.
