Albert Einstein, On the Electrodynamics of Moving Bodies, 1905: "From this there ensues the following peculiar consequence. If at the points A and B of K there are stationary clocks which, viewed in the stationary system, are synchronous; and if the
clock at A is moved with the velocity v along the line AB to B, then on its arrival at B the two clocks no longer synchronize, but the clock moved from A to B lags behind the other which has remained at B by tv^2/2c^2 (up to magnitudes of fourth and
higher order), t being the time occupied in the journey from A to B." http://www.fourmilab.ch/etexts/einstein/specrel/www/

This argument of Einstein is invalid: the conclusion ("peculiar consequence") is non sequitur - does not follow from the premises, Einstein's 1905 two postulates.

The two postulates of special relativity, true or false, entail that

(A) the moving clock lags behind the stationary one AS JUDGED FROM THE STATIONARY SYSTEM, and the stationary clock lags behind the moving one AS JUDGED FROM THE MOVING SYSTEM (symmetric time dilation).

Einstein abused logic in 1905 and "deduced" from the postulates that

(B) the moving clock lags behind the stationary one AS JUDGED FROM BOTH SYSTEMS (asymmetric time dilation).

Why did Einstein abuse logic? Because (A), the valid deduction, doesn't, but (B), the non sequitur, does imply TIME TRAVEL INTO THE FUTURE - the miracle (idiocy) that converted Einstein into a deity:

Thibault Damour: "The paradigm of the special relativistic upheaval of the usual concept of time is the twin paradox. Let us emphasize that this striking example of time dilation proves that time travel (towards the future) is possible. As a gedanken
experiment (if we neglect practicalities such as the technology needed for reaching velocities comparable to the velocity of light, the cost of the fuel and the capacity of the traveller to sustain high accelerations), it shows that a sentient being can
jump, "within a minute" (of his experienced time) arbitrarily far in the future, say sixty million years ahead, and see, and be part of, what (will) happen then on Earth. This is a clear way of realizing that the future "already exists" (as we can
experience it "in a minute")." http://www.bourbaphy.fr/damourtemps.pdf

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It follows logically from Einstein's 1905 postulates that, if two clocks are in relative motion, either clock is slow as judged from the other clock's system (SYMMETRIC time dilation). Here is an obvious implication:

Time SPEEDS UP for any traveler.

That is, any traveler who checks stationary clocks against his spaceship's clocks will find stationary clocks slow and his spaceship's clocks FAST. This also means that the traveler sees himself aging FASTER than stationary people.

Yet high priests in the Einstein cult (including Einstein himself) almost universally abuse logic and teach ASYMMETRIC time dilation:

Time SLOWS DOWN for the traveler.

Examples:

Brian Greene: https://youtu.be/Q1y3YnPgaY4?t=1157

Albert Einstein 1911: "The clock runs slower if it is in uniform motion..." http://einsteinpapers.press.princeton.edu/vol3-trans/368

Richard Feynman: "Now if all moving clocks run slower, if no way of measuring time gives anything but a slower rate, we shall just have to say, in a certain sense, that time itself appears to be slower in a space ship." http://www.feynmanlectures.caltech.
edu/I_15.html

Brian Greene: "If you're moving relative to somebody else, time for you slows down." https://m.youtube.com/watch?v=QnmnLmwBmfE

Neil deGrasse Tyson: "...Einstein's special theory of relativity, which gives the precise prescription for how time would slow down for you if you are set into motion." http://abcnews.go.com/Entertainment/back-future-30th-anniversary-neil-degrasse-tyson-
talks/story?id=32191481

Jim Al-Khalili: "Einstein showed that for anything (or anyone) travelling at speeds approaching that of light...time literally runs more slowly." https://scienceinschool.org/2009/issue11/timetravel

Why do high priests abuse logic and teach asymmetric time dilation (Time SLOWS DOWN for the traveler), knowing that it does not follow from Einstein's 1905 postulates? As I have already explained, this is a way to mislead the gullible world into
believing that TIME TRAVEL INTO THE FUTURE follows from special relativity. (Einstein's 1918 paper http://sciliterature.50webs.com/Dialog.htm, claiming that general relativity is indispensable to resolving the twin paradox, is usually ignored by high
priests.)

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