I want someday to understand, not just analyze, to truly, intuitevely understand the
E=mc^2 equation.
I believe I have made a step closer to that with my analysis of the equation I shall share with you.
Unit of Energy(E): Joule --> Newton*m --> (kg*m/s^2)*m -->
(kg*m^2)/s^2
Unit of mass(m) -->
kg
Constant speed of light(c) in the void -->
300,000,000 m/s
c^2 -->
90,000,000,000,000,000 m^2/s^2
Suppose we have a 1kg object. Its energy thus would be
E = 1kg*90,000,000,000,000,000 m^2/s^2
Substituting the Energy units in the left hand side we have:
(kg*m^2)/s^2 = 1kg*90,000,000,000,000,000 m^2/s^2
or
(kg*m^2)/s^2 = 9*10^16(kg*m^2)/s^2
Do you see how elegantly it proves the connection of E and mass, the units are the same. The thing of notice here is that the number 9*10^16 is the
slope of the equation, or the rate of change. Well if the simplest of equation y=x goes like a diagonal in the xy axis you can imagine how this draws. It goes almost parallel to the yy' axis. This means a minute difference in m(eg. 1kg) will increment the E value by c^2!
Let's reflect here a bit.
One kg is the weight that we measure at sea level. The force the earth excerts on a 1kg object is 9.8 N.
Energy, as we saw, can be written as N*m. If the 1kg object falls 1m its energy becomes 9.8 Joules. What if the object falls 1km? Then its energy becomes 9800 Joules. You see where this is going. Mass has billions of billions of times more energy than what it manifests naturally as the gravity force. Ironically it is this force that forms the univerce into spheres, solar system, galaxies and galaxy flees.
The unleashed force of mass comes out in the suns, supernovas and human-made atomic reactors and bombs.
You can think of mass as balanced force. There is tremendous force there but there is balance; it it takes a very abrupt and violent turbulence of that balance to cause the balance of opposing and attracting forces to dangerously fall into one field and have an explosion of energy.
Feed for thought. Can gravity be the small amount of attracting interactions in mass that acts as a relief valve? So instead of having loud particle and light explosions, we have this quiet "sea" of gravity which is what is "exploded". Gravity is by far the weaker from the natural interactions.
And my personal instict here will probably look indulgent by I do believe Gravity is a force and not a curvature of spacetime. Because I believe time does not exist, what exists is a
rhythm. A rhythm of delivery of force, the respective quantum physics of time. There may very well be a quanta of rhythm.
Maybe we were wrong all this time (and I am right). Maybe time is a product of rhythm. And speed of light be the absolute limit of
rhythm in which force can be transmitted. It may be that our math are wrong (defining rhythm in respect to time instead of opposite) and on paper we can travel in time.
My question boils down to this. Is there any scientific proof that time is not an axiom? That
rhythm is not more primal?
The extra dimensions are required only by mathematical theory to allow gravity to be unified in simplified equations with the other forces (electromagnetism, strong and weak nuclear forces).
Bingo! That's what I'm talking about. I say we should look our math people.
I'm a bit creative here but I'll say the speed of light limit can be compared to to a free fall to the center of a planet. As you approach the center you are past the point you reached terminal velocity and gradually decelerate. Then in the center you come to a dead stop (after a few oscillations that is).
In the case of light, because it is massless, theoretically there is no speed limit for it but we know there is and it is c. This is because the marginal acceleration needed for light to surpass c is infinity... and we can't afford that.
Now listen, the marginal deceleration of acceleration is like that object free falling inside a planet. It becomes zero at speed c.
Clocks tick at different rates in different speeds because their marginal acceleration is different which is no different than saying they have different
rhythms. No one is ahead or behind in time. The forces inside them have different rates of transmission, they have different
rhythms.