Understanding Natural Units in Physics

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SUMMARY

The discussion centers on the use of natural units in physics, specifically setting Planck's constant (h) and the speed of light (c) to 1. This simplification does not alter the fundamental relationships in physics, such as Einstein's equation E=mc², but rather changes the units of measurement. By adopting these units, calculations become more straightforward, as energy and mass can be expressed in the same units. The participants emphasize that while this may seem confusing, it is a consistent approach within the framework of theoretical physics.

PREREQUISITES
  • Understanding of basic physics concepts, particularly energy and mass.
  • Familiarity with Einstein's equation E=mc².
  • Knowledge of dimensional analysis in physics.
  • Basic comprehension of unit systems, including SI and natural units.
NEXT STEPS
  • Research the concept of Planck units and their significance in theoretical physics.
  • Explore dimensional analysis techniques to understand unit conversions.
  • Study the implications of using natural units in quantum mechanics.
  • Read about the historical context and development of natural units in physics literature.
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Students of physics, theoretical physicists, and anyone interested in simplifying complex calculations in physics through the use of natural units.

arman.k.blog
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So I have been going through a book on physics-based mathematics. I have seen the author using natural units (h = c = 1) in formulae. Why is this done? Most importantly, doesn't it mess up the true calculation? For example, take e = mc^2. If I set c = 1, it becomes e = m. So if I am given a mass and have been told to calculate the energy, it's the same as the given mass! How is this all consistent? I don't get the concept. I would be glad if someone would explain it in a simple manner. Thanks in advance!
 
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Its not that confusing.We're just saying that,our length scale is somehow that light travels one unit of it in one unit of our time. Or alternatively our time scale is somehow that light travels one unit of our length scale in that time and then say we don't care what are those time and length scales!Its the same about h.
And about the formula E=m. Energy is not the same as mass here! Let's say the unit of time and length scales we chose are a and b.Then we have E(kg a/b)=m(kg) c^2(a/b) its just we have c=1 in the unit a/b! and of course our unit of energy here becomes different from joule.We may also alter the unit of mass to an arbitrary one which again changes our unit of energy.
 
there's a wikipedia page on the topic.

that and the page on Planck units, maybe that can help.
 

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