Tuesday, 12 December 2023
Misconception in Mass Energy Equivalence ,Uncertainity and Einestien Equation
These may be the most common errors in understanding the three most important equations in quantum physics and relativity:
First: Einstein’s mass and energy equivalence equation
It is an equation whose left side is energy and whose right side is mass multiplied by a fixed value. Some people think that it is an equation for converting mass into energy or for calculating the energy contained in a mass. Some of them may differentiate between mass and energy and say mass is dense energy or frozen energy, and energy is a released, fragmented and diffused mass. All of these concepts are wrong.
What is true is that before this equation was discovered and derived from the theory of relativity, the body’s kinetic energy was expressed as a quantity that depended on the body’s speed and mass, and thus it was something other than the body’s mass. When special relativity came, the definitions of all quantities were reconsidered to be compatible with the new relationships related to time and space, and it was found that The new definition of kinetic energy is the new definition of the mass of the body (which is affected by speed) multiplied by the square of the speed of light, and since the speed of light is constant, this definition makes the definition of energy identical to the definition of mass because the value of the speed of light can be controlled by changing the system of measurement units, making it equal to one integer. . So relativity made us discover that what we thought were two different concepts are one concept and there is no transformation from one thing to another in the matter. We confirm this with an example: photons of light are energy and mass because they have mass and movement, and their energy and mass are the same thing. They are not pure energy, as those who differentiate between the two concepts understand. The Earth on which we live is also mass and energy at the same time, even if it explodes and turns into radiation - God forbid - no. It was transformed from mass into energy, but its atomic components - electrons, protons, neutrons, etc. - were simply transformed into photons.
Second: Heisenberg's indeterminacy equation
Some students think that this equation means that a quantum body has a position and momentum, and that if you want to measure them at any given time, you must sacrifice the accuracy of measuring one of the variables if you want to measure the other accurately. This is an inaccurate understanding of the equation.
The correct thing is that quantum reality (if we call it a body or a wave) is not like the particles known in ancient physics, as it does not have a specific position or a specific momentum, but this quantum reality has some properties of particles, so if you assume that it is a body and that it has a specific position and a specific momentum Your assumption will not be correct, but it will not be completely wrong, and therefore if you want to deal with it with this partially incorrect assumption, you will reach partially incomplete results as well, regardless of the accuracy of the devices you use in your measurements.
Third: Einstein’s equation regarding the effect of matter on space-time
Some scholars try to base their understanding of this equation on the explanation of general relativity based on the example of a flexible carpet that bends due to the presence of a heavy mass above it. It is thought that the right side of the equation represents matter, which is the heavy mass, and that the left side of the equation represents the curvature of space, which in the simplistic example is represented by the rug that curves around this mass.
What is true is that Einstein's equation does not link matter and the curvature of space around it, as the simplistic example suggests. Rather, it links matter and the curvature of space in the same place where the matter exists and not around it. To confirm this, refer to the only applied solution to this equation, which was discovered by Schwarzschild. He applied the equation outside matter. Concerning planets and stars, he placed zero on the right side, which represents matter, and used the rules of symmetry to reach the results he reached. Therefore, matter affects the space in which it exists according to Einstein’s equation, but its effect on the space around it is not according to this equation, but this effect is calculated using other calculations found in the Schwarzschild solution. .
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