How is Planck length calculated?

Now note that: The units of G are (distance * distance * distance) / (mass * time * time) The units of c are distance / time The units of h are distance * distance * mass / time Planck observed that there is only one way to combine these constants to obtain a distance: Distance = square root (h*G/c*c*c) The resulting …

What is the formula of string theory?

The Hamiltonian of the closed string, provided by the quantum theory, yields a formula for the mass-squared M 2 M^2 M2 of the closed string in terms of these “number operators” [1]: M 2 = 2 α ′ ( N + N ~ − 2 ) .

Is string theory smaller than Planck length?

– String theory does not have particles which are smaller than (the order of the) planck length, but the strings itself can need descriptions on scales smaller than their own size. anything smaller then planck length is under the laws of quatum mechanics, correct? and anything larger is not..

Is a string Planck length?

In string theory, the string length is not taken to be the Planck length, ℓP=√ℏGc3. Rather, we expect strings, should they exist, to be approximately around this scale but from my knowledge of the literature and many introductory texts, there is no claim it is precisely ℓP.

Why Planck length is smallest?

So why is the Planck length thought to be the smallest possible length? The simple summary of Mead’s answer is that it is impossible, using the known laws of quantum mechanics and the known behavior of gravity, to determine a position to a precision smaller than the Planck length.

What is shorter than a Planck time?

But for example, the wavelength of an electromagnetic wave (which is the same thing as its periodicity in time, multiplied by c) can be much shorter than the Planck length. Arbitrarily short-wavelength photons exist; this is guaranteed by the theory of relativity.

How many Planck lengths does an atom have?

A hydrogen atom is about 10 trillion trillion Planck lengths across (which, in the pantheon of worldly facts, ranks among the most useless).

How many zeros does Planck length have?

The Planck time has no fewer than 43 zeroes. It’s the time it takes light to travel one Planck length, which is around a hundredth of a millionth of a trillionth of the diameter of a proton, according to Symmetry magazine.

Is quark smaller than Planck length?

The size of a quark compared to plank length is multitudes larger than plank length. For comparison, if the quark was the size of the sun, the plank length would be the size of a grain of sand.