A fun way of understanding Einstein's General Theory of Relativity
It wasn't until the brilliance of Albert Einstein that we were able to fully This seemingly simple algebraic formula represents the correlation of. We are not using an "Inverse Lorentz Transformation" to find time dilation and the "Lorentz . Why is Lorentz transformation used in Theory of relativity? . you suffer a contraction and time dialation in the direction to preserve the uniform ratio. In physics, special relativity is the generally accepted and experimentally well- confirmed physical theory regarding the relationship between space and time. In Albert Einstein's original pedagogical treatment, it is based on two The inverse relation is obtained by interchanging the primed and unprimed symbols and.
How, then, could such a universal principle be found?
- A fun way of understanding Einstein's General Theory of Relativity
- The Einstein Theory of Relativity
- Lorentz transformation
Autobiographical Notes [p 5] Einstein discerned two fundamental propositions that seemed to be the most assured, regardless of the exact validity of the then known laws of either mechanics or electrodynamics. These propositions were the constancy of the speed of light and the independence of physical laws especially the constancy of the speed of light from the choice of inertial system.
In his initial presentation of special relativity in he expressed these postulates as: The constancy of the speed of light was motivated by Maxwell's theory of electromagnetism and the lack of evidence for the luminiferous ether.
There is conflicting evidence on the extent to which Einstein was influenced by the null result of the Michelson—Morley experiment. The derivation of special relativity depends not only on these two explicit postulates, but also on several tacit assumptions made in almost all theories of physicsincluding the isotropy and homogeneity of space and the independence of measuring rods and clocks from their past history.
A more mathematical statement of the Principle of Relativity made later by Einstein, which introduces the concept of simplicity not mentioned above is: Special principle of relativity: If a system of coordinates K is chosen so that, in relation to it, physical laws hold good in their simplest form, the same laws hold good in relation to any other system of coordinates K' moving in uniform translation relatively to K. Einstein later derived these transformations from his axioms.
Many of Einstein's papers present derivations of the Lorentz transformation based upon these two principles. Principle of relativity Reference frames and relative motion[ edit ] Figure The primed system is in motion relative to the unprimed system with constant velocity v only along the x-axis, from the perspective of an observer stationary in the unprimed system. The changing of the speed of propagation of interaction from infinite in non-relativistic mechanics to a finite value will require a modification of the transformation equations mapping events in one frame to another.
Einstein field equations - Wikipedia
Reference frames play a crucial role in relativity theory. The term reference frame as used here is an observational perspective in space which is not undergoing any change in motion accelerationfrom which a position can be measured along 3 spatial axes. In addition, a reference frame has the ability to determine measurements of the time of events using a 'clock' any reference device with uniform periodicity. An event is an occurrence that can be assigned a single unique time and location in space relative to a reference frame: Since the speed of light is constant in relativity in each and every reference frame, pulses of light can be used to unambiguously measure distances and refer back the times that events occurred to the clock, even though light takes time to reach the clock after the event has transpired.
For our purposes we needn't worry about this, as I am simply illustrating the incredible amounts of energy that constitutes your equivalence in mass, not illustrating the fusion of all of your mass turning into energy.
Let's begin by collecting the data so that we can input it into our equation. I weigh roughly pounds. Again, as we use SI units in science, we need to convert this over from pounds to grams. Here is how we do this: We do that this way: Now that I'm in the right unit of measure for masswe can plug the values into the equation and see just what we get: This is an incredibly large amount of energy. However, it still seems very vague.
What does that number mean? How much energy is that really? Well, let's continue this experiment and find something that we can measure this against, to help put this amount of energy into perspective for us.
Einstein field equations
First, let's convert our energy into an equivalent measurement. Something we can relate to.
How does TNT sound? First, we must identify a common unit of measurement for TNT. Now we find out just how many kilotons of TNT are in 1 Joule. After doing a little searching I found a conversion ratio that will let us do just this: Meaning that 1 Joule of energy is equal to.
That is a very small number. At better way to understand this relationship is to flip that ratio around to see how many Joules of energy is in 1 kiloton of TNT. Now that we have our conversion ratio, let's do the math.
Thus, concluding our little mind experiment we find that just one human being is roughly the equivalence of 1. Let's now put that into perspective, just to illuminate the massive amount of power that this equivalence really is. It leveled a city in seconds and brought the War in the Pacific to a close. That bomb was approximately 21 kilotons of explosives. So that means that I, 1 human being, have 88, times more explosive energy in me than a bomb that destroyed an entire city… and that goes for every human being.
So when you hear someone tell you that you've got real potential, just reply that they have no idea….