the clocks paradox, also called the twins paradox. an error in the theory of relativity.
here’s a clear video presentation of the paradox, one minute long, without useless additional information or inserted secondary elements to mess with your understanding..
there are some “solutions” to the paradox, by physics professors, using complex mathematics, showing solution with the difference in speed only, without the use of acceleration/deceleration. the academics are claiming that those physicists who explain the paradox with gravitational effect, don’t know what they are talking about. the problem with the complex math is that the professors fail to produce the calculations twice, beginning once from the reference point of one observer, and then from the reference point of another observer. that can only mean one thing — the math is wrong. there must be an error in the formulas. to prove the clocks/twins paradox with speed only, without local gravity produced by acceleration and deceleration, the math must be performed twice, once from each reference point, coming to a different result with the same formulas, which is impossible. there are careers involved, and tenures, thus it makes total sense for the professors to stop short before performing the same calculations again, from another point of reference in the clocks/twins paradox.
also there are some “solutions” described with the help of graphs (in the end of the article i give one example), but the same issue remains — there are clear logical errors. it is easy for anyone to debunk a “solution” without going into details of an explanatory presentation — simply let the demonstration to be performed twice, coming from each reference point. one must be able to, using exactly the same demo from the beginning till the end, without arbitrary changes to formulas or graphs, come to a different result from different reference point. they must show that in first demonstration the clock of one observer, who is the reference, is ticking faster, and on repeated calculation the clock of another observer, who is taken as reference, is ticking slower. it is impossible.
this is one of the contradictions in logic over which i was fighting with my physics teachers in my school times. i didn’t have a name to the paradox then, i just noticed the error. back then, for me the paradox of clocks was resolved by the existence of aether. in fact the whole trouble began when a physics teacher said that the aether doesn’t exist. then i came in with my logic that it will create problems in the theory of relativity. later i realized that even the existence of aether doesn’t resolve the paradox, because a “stationary” observer on earth may in fact be moving with enormous speed through the aether together with the earth or solar system or galaxy or cluster of galaxies, who knows. the speeding space ship will move in one direction through the aether, and then on another direction coming back to earth, in the result having the same amount of aether passed through the space ship as through the stationary observer on earth during the same time period.
thus the existence of the aether is not a solution to the relativity problem in clocks/twins paradox. it could only be a solution if earth would be stationary relative to aether. more probable is that our galaxy is closer to a stationary position in aether, which means that in different points of rotation around the galaxy and around the sun, the earth is moving at different speeds through the aether. this could be possible to measure and to find out the stationary reference point of the aether in the universe.
to those who missed my article on existence of aether read here..
the only way to resolve the paradox is to revisit the theory of relativity critically. in my view the solution is in the effect of gravity, instead of the effect of speed. refer to my articles about it..
the fact that technological advances in the precision of measurements and modern supercomputers have proven the theory of relativity to be correct many times, is not an obstacle to further scrutiny of the theory. some of the formulas may have errors in them. to put it into computer slang: “garbage in — garbage out”. this is in no way to diminish the value of current understanding in physics, i am simply saying that we are far from knowing everything and from being always correct. physics textbooks have been rewritten hundreds of times. nevertheless, the physics books have way more truth in them than holy scriptures.
to conclude the article, in the video below is an example of a popular, but wrong solution to the paradox. the connecting lines on the graph are there suddenly changing direction. if the reference point was the same, then the lines should have gone all in one direction on the entire length of the graph, or they show going back in time. the lines could only change direction, if in the middle of the graph the reference point was suddenly changed, arbitrarily, without finishing the explanation from the first reference point. and on top of that, the graph was fit into an assumption of slowing of time of a moving object from the very beginning. a correct presentation of a solution must give the correct answer in the end, with no arbitrary manipulation of data or presumption of facts.
watch the video..
i have seen many such graphs, supposedly explaining different phenomena in physics, presented in a visually appealing form and told with a nice clear voice suggesting to listeners knowledge of the subject, but in fact are arbitrary drawings of graphs and pointless calculations fitting some presumed truths, a show-off for those who don’t know any better.
my advice is, don’t take any explanations without critical thinking, either from textbooks, popular ones on social media, or rare and new ones.. neither mine. i may also make mistakes. in any case i do my best to avoid any errors, thinking deeply before publishing my solutions. when i doubt in my understanding of a subject, then i state it next to the presented ideas, not to sound like i know the ultimate truth, misleading others and wasting their time.