Joined: Thu Jan 22, 2009 6:44 pm Posts: 1300 Location: france
E=MC2 Time machine
as_salàm 'alaykùm,
E=mc2 is the result which permitted to conclude to the theory of the relativity from a. einstein.
the theory of the relativity shows how is connected the time with the distance (space), combined on a vector of speed (movement).
The space-time:
in 1908, the German mathematician Hermann Minkowski ( 1864-1909 ) proposed an elegant mathematical formulation of the restricted relativity, the space-time. We consider that the space has the fourth dimension besides three usual dimensions. This fourth dimension is a length, as three others, length crossed by the light at time “ t “, that is “ct”: This fourth dimension thus serves for tracking down the time and for measuring the durations.
If for example we measure the time in years and the lengths in light years (AL), a point of coordinates (x=1; y=0; z=0; t=1) is a point to the abscissa 1 AL and in the date 1 the year. He(it) thus represents an event which occurred in the position of space (1; 0; 0) at the moment 1.
Diagram of space-time: we get used to representing only a single dimension of space, x, by tracking down it with regard to a horizontal axis, and the dimension of time “ ct “, by tracking down it with regard to a vertical axis. The meeting place of these two perpendicular axes is the event “ A “, “the present ", the position of which defines the origin of spaces and of time.
The future is upward, the past downward and the spatial distances with regard to “ A “ to the left and to the right. The abscissa and the orderly of some point of this diagram thus define an event by its position and its date with regard to those of the event A.
By measuring the lengths in “ AL “ (thus time in years), the propagation of the information of the event “ “ A “ has happened “ and of possible effects of “ A “ at the speed of light towards the left and right is represented by the successive points of two half--straight leaving of “ A “ tilted to 45 ° with regard to the X axis, called " half--straoght of light of “ A “
A point “ M “ of one of the half--straights of light, situated at a spatial distance of “ x “ of the event “ A “, represent the event “ A “ such as it is seen by this distance ” x “, to whom it appears to time “ x/c “ (in years).
The successive points of one of the half--straights leaving of “ A “ in 45 ° the axis “ x “ are thus points reached by the light left of “ A “ at the present moment, that of the event “ A “; each of these points has an abscissa “ x “ measuring the “ spatial distance “ in “ A “ and an orderly “ x “ = “ ct “ representing the “ temporal distance “ in “ A “.
Both half--straights of light of “ A “ bound a cone of axis “ ct “ and of summit “ A “ called “ cone of light ” of “ A “, or more exactly “ future cone of light “ of “ A “.
Both half--straights prolonging the previous ones of the Past side of the axis “ x “ represent events of the past as the light of “ A “ has achieved at the present moment. They bound the “ past cone of light “ of “ A “.
At the present moment, “ A “ knows all the events of past represented by a point of the “ cone of light “ past as “ C ”, because their light had the time to reach to “ A “.
In the diagram above, an event “ B “ represented by a point of the axis “ Ax “ would be simultaneous with “ A “, an event “ C “ represented by a point under the axis “ Ax “ would precede “ A ”, for an immovable observer with regard to “ A “.
For an observer in movement with regard to “ A “, the restricted relativity teaches us that the simultaneity is not any more respected and, for example, that B happened after “ A “.
On the diagram of space-time of origin “ A “, so that “ B “ is consequence of “ A “ he thus has to be inside the “ cone of light “ of “ A “.
If “ B “ is on one of the half--straights of the “ cone of light “ of “ A “, he sees appearing “ A “ at the same time as it appears itself, and cannot thus result of “ A “.
And if “ B “ is outside of the “ cone of light “ of “ A “, of the right-hand side or the left-hand side of the axis “ x “, is inevitably independent from “ A “.
The diagram above shows the zones of “ space-time “ among which the events “ B “;
1.Could be consequence of “ A ”: they are in the future “ cone of light “ of “ A “;
2.Could have caused “ A ”: they are in the past “ cone of light “ of “ A “;
3.Are independent of “ A “, they are outside the “ cone of light “ of “ A ”, as past side as future side.
Independence between two events and relation of causality:
The independence between both events “ A “ and “ B “ is the “ interval of space-time “ between these two events is of the genre distance.
According to the position “ M “ or “ P “ of a fixed observer with regard to “ A “ and “ B “, the event “ B “ will be previous or later than the event “ A “ (surprising, no?), but none of the events “ A “ and “ B “ could be cause of the other because they are too much taken away so that an interaction propagated in the maximum speed “ c “ was able to go from one to another.
The diagram above watch both half--straights of the “ cone of light “ of “ B “.
An observer situated at the distance “ M “ of “A “ sees the event “ A “ at first, then the event “ B “, at the moments defined by the intersection of the vertical line leaving of “ M “ with the half--straights of light of “ A “ and of “ B “.
An observer situated at the distance “ P “ of “ A “ sees the event “ B “ at first, then the event “ A ”, at the moments defined by the intersection of the vertical line leaving of “ P “ with the half--straights of light of “ A “ and of “ B “.
For an observer on “ M “, the event “ A “ precedes “ B “, but he cannot be its cause.
For an observer “ P “, the event “ A “ is after “ B “, but “ B “ cannot have caused “ A “.
For both observers, interval of space-time AB is of the genre “ distance “, what forbids any relation of causality enter “ A “ and “ B “. When the observer “ M “ will have knowledge of the event “ A “ he will not still know that “ B “ will take place, while when the observer “ P “ will know that “ B “ took place he will not still know that “ A “ will take place!
In the previous example, “ B “ is outside the cone of light of “ A “.
If “ B “ was internal in this cone of light, every observer “ M “ would see “ B “ after “ A “, whatever is his position, because the half--straights of light of “ B “ are over those of “ A “. “ B “ the interval of space-time could be consequence of “ A “ and “ AB “ is of the genre of “ time “.
Finally, if “ B “ was on one of the half--straights of light of “ A “:
An observer “ M “ would see “ B “ occurring later “ A ”;
An observer “ P “ would see “ B “ occurring at the same time as “ A “.
Whatever is its position, an observer would know that there is no relation of causality between “ A “ and “ B “ if it is capable of noticing that the interval of space-time enters “ A “ and “ B “ is of the genre of “ light “.
Conclusions on the causality:
These reasonings apply to all the scales of distance and of time, since the astronomical scale up to the atomic scale.
It is not the scale which count, it is the interval of “ space-time “. Remark on the simultaneity:
the concept of simultaneity has no precise meaning in relativity as soon as an observer is in movement with regard to the other one.
The concept of simultaneity is necessary to define a movement: we say that a train arrives station of Madina there at 7:15 am when at this precise moment a watch shows 7:15 am. But attention, this watch must be fixed with regard to the station of Valencia; if it is in movement, the hour which it will indicate in station of Valencia must be calculated with the conversion of Lorentz*.
in the diagram of space-time, the trajectory of a mobile is represented by a called line “ line of universe “, as points represent the events (position-date) successive of the considered mobile. This line (in dotted lines in the diagram below) is obviously contained in the “ cone of light “ of the point representing the position “ here and now “:
General relativity. Accelerated movement. Slope of the “ cone of light “:
a movement with uniform speed has a straight line of universe, but an accelerated movement of “ A “ in “ B “ is represented by a line of curved universe.
The cone of light in every point of this line of universe has an oblique axis, and the vector immediate speed in this point, carried by the tangent in the line of universe, is internal in the “ cone “ if the mobile moves less faster than the light (graph below).
In the case of a black hole situated on “ O “, when the matter collapses of “ A “ towards “ O “ under the gravitational influence, the “ cone of light “ along the line of universe “ AB “ of this matter tilts gradually towards the vertical axis “ ct “. When the point “ D “ is reached, at the distance “ OH “ of “ O “, the straight of superior light of the “ cone “ became vertical: neither the matter, nor the light can deviate more henceforth of “ O “ from a superior distance than “ OH “, that we call of this fact horizon of the black hole.
Paradox of the traveler of Langevin*:
we often quote the " paradox of the twins ", also called " paradox of the traveler of Langevin ". Let us consider two twins, Abdal and Mohammad, Abdal stays on Earth while Mohammad leaves and travels in a speed lower than that of the light. Mohammed describes a certain trajectory, lines of universe “ ABC “ in the space-time of Minkowski, where the route “ BC “ is the return. This trajectory eventually returns Mohammad to the point of departure “ C “ on Earth, where Abdal waits for him. Both twins notice while Mohammad, the traveler, aged less than Abdal: the time passed by more slowly for Mohammad than for Abdal!
This paradox explains by considering the intervals of time of both twins.
The square of the duration of the journey ”to go” from Mohammad, of “ A “ in “ B “, is of: BH ²/c ² for Mohammad s²Mohammad = AH ² - and s²Abdal = AH ² for Abdal, thus Mohammad ages less than Abdel;
The square of the duration of the journey "return" of Mohammad, of “ B “ in “ C “, is of: S²Mohammad = HC ² - BH ²/c ² for Mohammad and s²Abdal = HC ² for Abdal, thus Mohammad ages again less than Abdal.
In fact, while Abdal remained immovable, Mohammad underwent accelerations:
On “ A “, to reach immediately his cruising speed in the direction of “ B “;
On “ B “, to reach immediately his cruising speed in the direction of “ C “.
It is the presence of the accelerations that explains the differences of speed of drainage of time(weather). Even if the lines of universe AB and BC was not been rights, as on the drawing, The conclusions would be the same: the traveler ages less than his twin stayed on Earth.
in the space-time of Minkowski we define a vector in four dimensions “ V “ associated with a particle of mass “ m “ and of impulse “ P “ called quadrivector energy-impulse.
The figure below shows the constituents of the quadrivector “ V “: (E; Pxc; Pyc; Pzc) where:
“ E “ the energy of the particle (or its mass “ m “ multiplied by “ c ² “), measured by the length of the projection “ OE “ of the quadrivector “ V “ on the vertical axis, the axis of the energies;
“ Px “; “ Py “; “ Pz “ is the constituents of the impulse “ P “ on 3 axes of space, which we throw multiplied by the speed “ c “ of the light to remain homogeneous with the energy.
The quadrivector energy-impulse “ V “ contains the totality of the information which describe the particle: its mass, its energy and its impulse. The direction of “ V “ is tangent in the line of universe of the particle at the moment “ O “.
The length “ OV “ of the quadrivector of a particle is invariant in the space-time of Minkowski during a change of mark: it represents the mass to the rest “ m0 “ of the particle when this one is not a photon, and this mass in the rest does not obviously vary during a change of mark.
The quadrivector “ V “ in general corresponds to the invariant mass + energy of the Newtonian space. To represent the total quantity of matter, the addition of two mass-energies of the newtonian space is replaced in the space-time of Minkowski by the addition of two quadrivectors.
Scientific proof supported by the researchers of the nasa
According to Albert Einstein's theory of relativity, a mass important as the Earth turning on it even entails with it the space time as a billiard ball which would turn in some honey for example, thus it would influence the orbit of satellites turning around the Earth.
The Earth so deforms the space-time around her, producing the effect of the gravity.
_________________ Là ilàha illà ALLAH Mohàmmad ar-RasùlALLAH(sA'aws)
although i do believe in the theory of relativity and all of its componebt, i still dont believe it could do time travel to the past, i would argue about time travel to the future because it is plausable on a scientific scale and not so much on a religious scale since we all have a death time and thus we cant surpass that. i think Allah (swt) has made this theory for us impossible to test for a reason, i think its the way our sould travels and becomes mass again. enery is tirned into mass if it goes as fast as the light and vice versa,
E=MC^2
_________________ your mother held you for 9 months, including GST, that should put you in dept to her for life
Sun May 03, 2009 4:37 am
abdalmàlik
WUP Media
Joined: Thu Jan 22, 2009 6:44 pm Posts: 1300 Location: france
Re: E=MC2 Time machine
as_salàm 'alaykùm,
Quote:
jack parsons:
John Whiteside Parsons (born Marvel Whiteside Parsons on October 2, 1914 – died June 17, 1952), was an American rocket propulsion researcher at the California Institute of Technology and co-founder of the Jet Propulsion Laboratory (JPL) and the Aerojet Corp.. He was also an enthusiastic occultist, and one of the earliest American devotees of Aleister Crowley.
While his formal education was limited, Parsons demonstrated tremendous scientific aptitude, particularly in chemistry. His rocket research was some of the earliest in the United States, and his pioneering work in the development of solid fuel and the invention of JATO units for aircraft was of great importance to the start of humanity's space age. The noted engineer Theodore von Kármán, Parsons's friend and benefactor, declared that the work of Parsons and his peers helped usher in the age of space travel.
honors: The crater Parsons on the far side of the Moon is named after him by nasa.
all these arguments for to conclude:
" scientificly, if you can go faster than the light speed, you can travel into the time ".
what you think brothers and sisters ?!
j. parsons was a designer in the nasa, nevertheless he invented a propulsion system, so fantastic, that the nasa named the far side of the moon by his name, a designer invented an incredible system of propulsion, amazing!?
_________________ Là ilàha illà ALLAH Mohàmmad ar-RasùlALLAH(sA'aws)
Last edited by abdalmàlik on Sun May 03, 2009 5:31 am, edited 3 times in total.
Sun May 03, 2009 5:03 am
HindSight2o2o
WUP Media
Joined: Tue Jan 20, 2009 11:38 pm Posts: 4103 Location: New York
Re: E=MC2 Time machine
Great post Abdal ...
_________________ "The one who first occupies the battlefield awaiting the enemy is at ease;the one who comes later and rushes into battle is fatigued. Therefore those skilled in warfare move the enemy, and are not moved by the enemy." ~ SUN TZU
♠¸.•* ´¨`*•.¸♥ Your arms are too short to box with God ♥¸.•* ´¨`*•.¸♠
Sun May 03, 2009 5:10 am
HindSight2o2o
WUP Media
Joined: Tue Jan 20, 2009 11:38 pm Posts: 4103 Location: New York
Re: E=MC2 Time machine
_________________ "The one who first occupies the battlefield awaiting the enemy is at ease;the one who comes later and rushes into battle is fatigued. Therefore those skilled in warfare move the enemy, and are not moved by the enemy." ~ SUN TZU
♠¸.•* ´¨`*•.¸♥ Your arms are too short to box with God ♥¸.•* ´¨`*•.¸♠
Sun May 03, 2009 5:13 am
HindSight2o2o
WUP Media
Joined: Tue Jan 20, 2009 11:38 pm Posts: 4103 Location: New York
_________________ "The one who first occupies the battlefield awaiting the enemy is at ease;the one who comes later and rushes into battle is fatigued. Therefore those skilled in warfare move the enemy, and are not moved by the enemy." ~ SUN TZU
♠¸.•* ´¨`*•.¸♥ Your arms are too short to box with God ♥¸.•* ´¨`*•.¸♠
Sun May 03, 2009 5:15 am
HindSight2o2o
WUP Media
Joined: Tue Jan 20, 2009 11:38 pm Posts: 4103 Location: New York
Re: E=MC2 Time machine
Great video Abdal
abdalmàlik wrote:
as_salàm 'alaykùm,
_________________ "The one who first occupies the battlefield awaiting the enemy is at ease;the one who comes later and rushes into battle is fatigued. Therefore those skilled in warfare move the enemy, and are not moved by the enemy." ~ SUN TZU
♠¸.•* ´¨`*•.¸♥ Your arms are too short to box with God ♥¸.•* ´¨`*•.¸♠
Sun May 03, 2009 5:18 am
abdalmàlik
WUP Media
Joined: Thu Jan 22, 2009 6:44 pm Posts: 1300 Location: france
Re: E=MC2 Time machine
as_salàm 'alaykùm,
_________________ Là ilàha illà ALLAH Mohàmmad ar-RasùlALLAH(sA'aws)
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