somebody said " a fish, out of the water, came to the land to catch something in air". Sounds funny!!! but it is not the fish but the human whose evolution was started in water and it took millions of years to enter and survive on land. And now we are going into the outer space to catch something. we can say "The new evolution " started. Rather it is better to say " Evolution" continues....In detail, not only human but also millions of species evolved and humans are one of them. Now, we bother about others species (as we are humans, just kidding.) and their evolution on earth and even else where in the universe.
I had a doubt. Why life begin? why don't the universe exist without a life. why the universe begin?? and how it began?? Usually we don't have answers to such kind of questions. Beauty will be remained only if they are left as a questions. I think so.....(i came to know from news channels, that scientist are making the re-occurrence of big bang after a few hours, to know answers to above questions.They say, if it is a failure, you don't exist to read this blog and even i too don't exists for further updates.)
Just leaving the odds to the scientists (people call them so..)we will continue......just concerning what we really know....
WHAT DOES WE REALLY KNOW
Till now, we know there are four dimensions- three dimensional space and time. (people before a few centuries know this fact but they don't know how to figure it out. They thought that land covers the everything in the universe and sun gives rays from top of it. just like flatten earth is under us and sun is above us. But now, we know what is shape of the earth and what is solar system,galaxy etc.)With the very basics, we will, just find the space and time relation at very low level. Here we go..............
Consider our solar system having some planets( not exactly know how many, but sure earth is one of it.). just before finding out the relation between space and time, we must know what is space and what is time. we know space contains three dimensions( x,y,z) and they can be easily measured with any calibrated instruments and even with fingers. now, think about the "Time". nothing hard ,but just how do we measure it??? by clock, a calibrated instrument. Even with out it we can measure time, like time gap between one sunrise and the next(it was calibrated as 24 hrs approx).so we can now say this time will change with the speed of rotation of earth.( Did u remember that time period of rotation of earth depends on its radius and its mass respectively).
so we can say time period of earth depends on its mass and and its radius ( if we assume earth is spherical). so we can say time period of earth te which is at a distance D from the center of the sun whose radius is R and having mass m can be written as a function as follows
te = f(D,R,M) ......................(i)
D= distance between centers of sun and earth.
R= radius of earth
M= mass of earth
At present we don't know how they are proportional, but know that they are related. doesn't it seems to be funny neglecting everything else in the solar system except sun and earth??? ya.. foolish..so let them present now. what they will do if they present?? just exerting force on other bodies( according to the apple on the newtons head, it is attractive force).so introduction of some passive bodies in the space results in attractive force between each other,in fact, between every two bodies according to the newtons law. so, the speed and the direction at which body is traveling, at every instant, is the resultant of all vector forces acting on it. Fortunately, in our solar system the objects(planets and stars) had acquired certain trajectory due to force acting between every two objects (force is proportional to product of masses and inversely proportion to square of distance between them) inside solar system. Here we assume that no external forces acting on this solar system. so, the resultant vector force on earth decides its trajectory and its traveling speed(speed of revolution around sun) which further effect its time period. hence we can say the time period of earth depends not only on the D, R, M but also on the resultant vector force acting on it. so equation (i) can be modified as follows
te = f(D,R,M,F)
F = vector force;
The more generalized equation of time period of any object is obtained but replacing the physical dimensions (D,R) with 3D co-ordinates (x,y,z).
Distance from the sun to the center of object(planet) ,D is replace by function of X,Y,Z assuming center of sun as origin.(it is so because our solar system is heliocentric with sun at the center).
the radius (dimensions) of the object(planet) at a point A at a distance D from the sun is too replaced with 3d co-ordinates, assuming center of object as origin, since we must not always expect an object to be spherical. And its shape is given by some function f2(x,y,z).
finally, we can conclude that the time period of any object in a solar system depends on its own dimensions, its mass, the resultant force acting on it and its position from center of that solar system.
to= f { f1(X,Y,Z), f2(x,y,z), M, F }
To obtain the relation between space and time, we studied half side of the time, time of a passive objects where the passive force, force between two masses, exists. fortunately, there exists a active force which do not obey the planetary laws like the planets which always needs to travel in certain trajectories with certain speed.In the next post we'll see the other side of time. If possible we discuss about the active force and passive force and the relation between them in a few days...
post a comment if there is something wrong, right or something interesting and need further clarification. :)
No comments:
Post a Comment