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delplace
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does anyone know something about the ratio of Planck length to Planck mass : signification, use in quantum relationships...
Exploring the Planck Length-to-Mass Ratio in Quantum Physics
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In summary, the conversation discusses the ratio of the Planck length to the Planck mass, which is equal to G/c^{2}. The significance and use of these values in quantum relationships is also mentioned. One participant corrects a typo in the equation for the Planck length and another jokes about dividing the Planck length by the Planck time or Planck color.
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Vanadium 50
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The Planck length is: [tex]\sqrt{\frac{\hbar G}{c^3}}[/tex]
and the Planck mass is: [tex]\sqrt{\frac{\hbar c}{G}}[/tex]
The ratio is therefore [itex]G/c^{2}[/itex]. Since there is no [itex]\hbar[/itex], it will not appear in "quantum relationships".
and the Planck mass is: [tex]\sqrt{\frac{\hbar c}{G}}[/tex]
The ratio is therefore [itex]G/c^{2}[/itex]. Since there is no [itex]\hbar[/itex], it will not appear in "quantum relationships".
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malawi_glenn
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Is this post also just for "testing us"? To see if we are worth your time?
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Orion1
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Vanadium_50 said:
Negative, that equation is incorrect.
Planck length:
[tex]\ell_P = \sqrt\frac{\hbar G}{c^3}[/tex]
Reference:
http://en.wikipedia.org/wiki/Planck_length"
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Vanadium 50
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Typo fixed. The point that hbar divides out, though, is unaffected.
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At least nobody is asking for Planck length divided by Planck time ...
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malawi_glenn
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Planck colour divided by Planck field then?
Related to Exploring the Planck Length-to-Mass Ratio in Quantum Physics
1. What is the Planck length to mass ratio?
The Planck length to mass ratio is a fundamental constant in theoretical physics and is defined as the ratio between the Planck length (the smallest possible length in the universe) and the Planck mass (the mass of a particle at the Planck scale).
2. Why is the Planck length to mass ratio important?
The Planck length to mass ratio is important because it plays a crucial role in theories of quantum gravity, where the laws of physics break down at the Planck scale. It is also used in calculations involving black holes and the early universe.
3. What is the significance of the Planck scale?
The Planck scale is the scale at which quantum effects become significant and the classical understanding of gravity breaks down. It is the smallest possible scale and the highest energy density that can be measured or observed.
4. Can the Planck length to mass ratio be measured?
Currently, the Planck length to mass ratio cannot be measured directly due to the limitations of our current technology. However, it can be calculated from other known fundamental constants, such as the speed of light and the gravitational constant.
5. How does the Planck length to mass ratio relate to the Planck units?
The Planck length to mass ratio is one of the fundamental constants used in the Planck units, which are a system of units based on the Planck scale. These units are used to express physical quantities in a way that is independent of any particular system of measurement and is believed to be the most fundamental system of units possible.
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