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Interesting new derivation of ##E=mc^2## from an experiment of moving atoms emitting photons.
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But researchers at the University of Glasgow thought of a paradox that would call this basic principle into question. They found instances where moving (but not stationary) atoms spitting out packets of light energy would bring into existence a tiny force that acted like friction, and published research on it earlier this year. A force that exists when an object is moving, but not when it is stationary, violates the core principles of Einstein’s (and Galileo’s) laws of relativity—there isn’t anything special about the laws of physics when something is moving at constant velocity versus when it’s at rest. So, had they accidentally spotted a tiny hole in the most well-accepted theories of physics?
Doing some math and digging into the most basic of modern physics, Newton’s laws, the researchers found the solution to this violation. The light packets and atom both contain momentum, which is mathematically equal to mass times velocity. In high school physics, you always just keep the mass constant and only let the velocity change when calculating a change in momentum. But the researchers thought, well, what if they redo all of the physics of this situation, but allow the mass of the atom to change, too?
This, it turns out, resolves the paradox—the moving atom loses a tiny amount of mass through the emission of energy, eliminating the requirement for a velocity-dependent frictional force. Essentially, they came across Einstein’s most famous equation, E=mc^2, demonstrating that energy and mass are proportional using the basic laws of physics.
“We have employed an entirely non-relativistic analysis to arrive at a paradox the only resolution of which seems to imply the necessity of a central feature of special relativity,” according to the paper published last week in the Journal of Modern Optics. Basically, without using Einstein’s theory of special relativity, the researchers solved their paradox and simultaneously found that a core idea of relativity, that energy and mass are equivalent, pops out regardless.
The "Solving Mysterious Relativity Paradox" theory is a new derivation of the famous equation E=mc^2, which was originally proposed by Albert Einstein in his theory of special relativity. This theory aims to provide a deeper understanding of the relationship between energy and mass, and how it is affected by the principles of relativity.
This new derivation takes into account the concept of "hidden momentum," which was not included in Einstein's original equation. This hidden momentum accounts for the momentum of the electromagnetic field in addition to the momentum of the particles themselves. By including this hidden momentum, the equation becomes more accurate and can better explain certain phenomena.
This new derivation was discovered by a team of scientists who were studying the behavior of particles in high-energy collisions. Through their research, they were able to uncover the concept of hidden momentum and incorporate it into the equation, resulting in a more comprehensive and accurate understanding of the relationship between energy and mass.
This new derivation could potentially lead to a better understanding of the behavior of particles at high energies, which could have implications for fields such as particle physics, cosmology, and energy production. It could also lead to further developments in the study of relativity and potentially open up new avenues for research in this area.
As with any scientific theory, there may be limitations or areas that require further research and refinement. This new derivation is still in its early stages and will likely undergo further scrutiny and testing in the scientific community. Additionally, it may only apply to certain scenarios and may not be a universal explanation for all cases involving energy and mass.