Length of Planck

In Physical, the length of Planck or scale of Planck is a unit of Length which belongs to the system of the Unités of Planck. Noted $\ ell_P$ , it is only given in term of the fundamental Constantes of the Relativité, the Gravitation and the quantum Mécanique. It thus represents probably the natural scale of a hypothetical Théorie unifying these three known theories.

Definition

The length of Planck is defined by:

$\ ell_P = \ sqrt {\ frac {\ hbar G} {c^3}}$ ,

where:

$\ hbar$ is the reduced Constante of Planck
$G$ is the gravitational Constante
$c$ the Speed of light in the vacuum.

In the units of the IF:

$\ ell_P = 1,616 \ 24 \ times 10^ {- 35}$ m,

with a relative Erreur equalizes with 7,5×10^-5.

Interpretation

The length of Planck is generally described as the length from which the Gravité would start to present quantum effects, which would require a theory of the quantum Gravité to be described. Consequently, the length of Planck would be, in the actual position of physics, the minimal length that it is possible to measure to a significant degree.

Theory of the supercordes

In the Theory of the supercordes, the length of Planck plays a fundamental role. This one is defined as being the minimal diameter of a cord. The most important corollary of this postulate is that nothing length lower than the length of Planck has physical direction. In itself, this way of seeing the things solves certain incompatibilities lived during the joint use of the equations of the General relativity and quantum mechanics.

See too

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