TIME MACHINE and Twins Paradox
Relativity Theory simulation
TUTORIAL
Please note, this is an educational android tutorial FREE app.
If you have downloaded this app on your device it means you have an idea about Albert Einstein's Relativity Theory. However if you do not have any information about this theory please do not leave any negative feedback. Instead I will invite you to become informed about this theory in order to appreciate this app’s true value.
Install it downloading from Google Playstore
or reading with android device this
What app do?
Albert Einstein’s Relativity Theory: From among a pair of twins if one brother takes a long journey nearing the speed of light and returns at starting point, it will be discovered that one of the brother have aged less than the one who had stayed behind.Infact, the app simulates a relativistic environment where two observers, as in the "twin paradox" synchronize their clocks and one of them goes on a round trip, while the other waits on Earth.
Well, it happens that for the observer undertaking the journey spend only a few minutes, while the brother will wait for a longer time, even years, and at arrival time they both find a great surprise! What happens? Their ages are DIFFERENT! This is clearly shown by the clocks of seconds, minutes, hours, as well as several years, depending from the speed the traveler reached during the trip.
A brief journey before of details.
Naturally it is supposed you are the traveller.
So the app allows you to choose two things:
- how long you want to travel. so select a future date time as destination clicking on orange button or typing the date in yyyy-mm-dd-hh-ss-mm format
- and the date of a future time you want to find on Earth after the allotted time, which can be from one minute to 10 days.
Keep in mind "c" is light speed and it is almost 300000 km/sec so example 0.9985485c is 299564 km/sec means very close the light speed. Anyway all relativity phenomena are almost all closest c, so the main part of simulation is between 0.9c and 1c.
The speedometer at bottom is not linear. At its half is already 0.8c light speed because the main effect of relativity are really influent after 0.9c
Tools details
The app is equipped with displays:
- which show the timing of both observers,
- one also to control the increase in mass
- and another showing the kiloemeters traveled.
- Another interesting display shows a countdown, that is, the time remaining to the arrival, pay attention, in addition to usual seconds varying, it varies FURTHER at varying of speed (this is something which does not happen in the every day life). IT MEANS that a TRAVEL INFLUENCES CLOCKS!
This display is useful when you set long time jumps because the time desired interval from 1 minute to 10 days, for sistem math limits, work only on some future years, about next 23 from current time, but when jump time is too long if inform you of limits and if you continue, the desired time interval will be not the time desired, but overridden from the one on this time-left display. This happen when the the velocity to reach is between 0.999999999999998c and 0.999999999999999c so the system will decide a more delayed time to travel". Double precision number in android device have from 14 to 17 decimals. This is the limit. - a slider allow to travel manually: just set "manual mode" as desired time interval.
It is possible to accelrate and decelerate with slider. Anyway this is not a way to travel, but useful to look at variations of space contraction at some fractions of light speed. If you set the maximum, it will show INFINITE. So better to Sync clocks again.
The app also has two interesting windows:
- The first window on the left is an aboard instrument showing the contraction of space.
The direction in which it moves the traveler is at 0°. While the -90° and 90° which corresponded perfectly to the sides left and right before the departure, during the run, will tend more and more to the direction of motion (0°). The phenomenon of space contraction is one of the most readily observable because even traveling at fractions of the light speed is obtained a significant contraction.
Example, what the firmament might be visible at 30° is shown at 10°12' only at speed 0.8c (c = light speed), while, and it is remarkable, that is visible at 120° (practically behind) is now shown at 60°, (forward). This phenomenon is likely because the traveler is going through hyperspace and practically is not a normal space anymore.
This shows that the whole space, the firmament visible in our everyday life is only a fraction of what really exists!
More speed is incerased, and more the vision shows a build-up in forward direction, while all around other unknown visions emerge, or at least very dilated, till 99% of space is observed in front, while rear, right and left directions are not even the 1%. - This type of vision is shown clearly by the second window:
This window assumes you are traveling on a road in the sides of which are arranged yellow poles. This road is very long, let's say some of the Jupiter-Sun distance and another set of poles cyan colored surrounds the orbit of the Earth's revolution.
It should be noted that in this simulation the poles along the way are assumed at a distance of millions of miles and their highness is many millions of miles too. Infact to allow eyes to look at something at such high speeds, the objects must be placed far away and be huge. Anyway also are provided 1000 points simulating stars, light-years away traveler, even if the motion of the traveler is next to the light speed, the movement of the stars due to the scrolling of the motion of the observer is irrelevant, indeed is practically zero. So CAUTION, do not confuse the shown scroll: THE SCROLLING visible on window, which is calculated in each frame of the animation, it is NOT the typical scrolling of guardrails or trees of a running on an highway or a train, but the scrolling is due to the relativistic space contraction.
At speeds approaching 0.3C notice the "curving" of poles in the direction of motion and even some poles (that with our 3d perception appear as not yet achieved), appearing in the forward position! In front of the traveler.
To understand why at high speeds the 3D space around collapses to a point you can consider the example of a car driver vision. In fact, the vision of a car driver is due to the perspective that provides the data of the environment by reducing the size of objects in proportion to their distance and everything appears to him as if there was a huge plane, that is, the surface of the road on the of Earth surface. But if suddenly rode a missile up into space, the previous vision would no longer useful because the entire Earth surface will begin to be spherical, and continuosly going far away till to build up to a point until it disappears. So it works for the hyperspace: when traveling close the light speed, the 3d view has no meaning and the whole firmament is contracted to a point.
An howTo video.
Software science-based
What you see appear in the tools of this app is based solely on the results of the relativistic formulas. There has been nothing to adjust or modify graphics problems. The only exception is the acceleration that is not considered as the cause of non-inertial systems, but as a next sequence of "constant speed". This, though, and forced a problem because if you wanted to really simulate the real acceleration endured by the human body, the time to reach the appropriate speed would last a long time! (maybe never!)If v and V are the relativistic velocities and c is the speed of light, the formulas are:
the sum of speed V and v is:
(V+v)/(1+V*v/(c*c))
time dilation is:
t1 = t0 / sqrt (1 - v * v / (c * c))
the increase in mass is:
m1 = m0 / sqrt (1 - v * v / (c * c))
The contraction of space is calculated as follows:
if the angle between the direction motion and a ray of light from any part of the space is an0 then:
an1 = (v + cos (an0)) / (1 + v * cos (an0))
This app is subject to be updated often.
Have fun!!
Este software es de uso gratuito, pero no es gratuito para el alcance del negocio sin la autorización del autor que puede ser informado por correo electrónico a
Michelangelo Buonarroti
michelangelodr@yahoo.com
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