Many people know of Einstein’s famous equation E=mc², but most, if not all, of those people do not know how he came to that vary conclusion. Yet I do know how I found that result, how his intellectually advanced mind conjugated the concepts of pure energy within a formula such as what he found with only the knowledge of basic physics and an understanding to algebraic principles. How he found this amazing discovery was in fact using his imagination to theories a box within the confines of empty space, with a single light particle (Photon) escaping from the left wall, through the box and being reabsorbed on the right wall. Now because the photon is moving in a real direction, the box had to be moving the other way until the photon is reabsorbed on the other side. Using this idea, he calculated the momentum of the box and photon, seeing that they are equal due to no reason why they would lose energy to friction or anything else, which the momentum of the box was the weight of the box multiplied by the distance the box traveled and divided by the difference in time the box traveled and the momentum of the photon was the energy of the photon divided by the speed of light. While seeing that the two where equal and seeing that the difference in time was equal to the length of the box divided by the speed of light, he saw that the equation became energy times the length of the box is equal to the product of speed of light squared, the mass of the box and the distance the box traveled. Although this equation is as simplified as it can be right now, we can use the conservation of mass formula with the system center of mass equation which is the sum of the mass of the box multiplied by the displacement of the right wall and the theoretical mass of the photon multiplied by the displacement of the left wall, all divided by the sum of the two masses is equal to the sum of the theoretical mass of the photon multiplied by the length of the box and the mass box multiplied by the sum of the displacement of the right wall and the distance the box traveled, all divided by the sum of the two masses. While using the left wall as a reference point, the conservation-center of mass equation can be simplified to the mass of the box multiplied by the displacement of the right wall is equal to the mass of the box multiplied by the displacement of the right wall minus the mass of the box multiplied by the displacement of the box plus the theoretical mass of the photon multiplied to the length of the box, which can be further simplified to the product of the mass of the box and the displacement of the box is equal to the theoretical mass of the photon multiplied by the length of the box. While fitting it into the equation energy times the length of the box is equal to the product of speed of light squared, the mass of the box and the distance the box traveled, becomes energy multiplied by the length of the box equals the product of the theoretical mass of the photon, the length of the box and the speed of light squared, and you can also take out the lengths of the box because they are on both sides of the equation, which further simplifies into the equation we know today as energy equals the theoretical mass of a photon times the speed of light squared. E=mc²
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