German physicist whose explanation of blackbody radiation in the context of quantized energy emissions initiated quantum theory (1858-1947)

Usage examples of planck.

There was a Planck constant governing energy, an Avogadro number giving the number of molecules in a standard volume of gas, a Faraday in electricity and a Stefan-Boltzmann constant in radiation.

Core knew that the topography of the Void Which Binds could be modulated to transmit information instantaneously -- via the fatline -- but that this was a clumsy and destructive use of the medium of Planck space, rather like communicating across a continent by means of artificially produced earthquakes.

Core personae from human-based dataspheres to the Void Which Binds megasphere that the Core discovered that Planck space was not an empty universe.

Planck machine had found a counterexample, a number in the region of ten raised to the power eighty.

Garden-hose universe in which the radius of the circular dimension is shorter than the Planck length and is decreasing are absolutely identical to physical processes in which the circular dimension is longer than the Planck length and increasing!

Ord recited everything, including data accurate to a fraction of a femtosecond and to the brink of Planck space, and at every critical junction, he gave the names and failings of those gods most directly in charge.

As the radius of the circular dimension shrinks to the Planck length and, in the mold of general relativity, continues to shrink to yet smaller lengths, string theory insists upon a radical reinterpretation of what actually happens.

And so another possibility, should strings fail to be the final theory, is that they are one more layer in the cosmic onion, a layer that becomes visible at the Planck length, although not the final layer.

As our most powerful particle accelerators can reach energies only on the order of a thousand times the proton mass, less than a millionth of a billionth of the Planck energy, we are very far from being able to search in the laboratory for any of these new particles predicted by string theory.

Planck Center, where they endured yet another check of their new identification cards, this time with a wand that scanned both the barcode and the memory strip across the bottom edge so the security log could compare their contents.

His calculations indicated that the additional circular dimension might be as small as the Planck length, far shorter than experimental accessibility.

Rather than heading through the Planck length on to ever smaller size, the radius, as measured by the lightest string modes, decreases to the Planck length and then immediately starts to increase.

There are those physicists who are willing to note the problem, but happily go about using quantum mechanics and general relativity for problems whose typical lengths far exceed the Planck length, as their research requires.

As we shall now see, there is evidence that string theory once again sets a lower limit to physically accessible distance scales and, in a remarkably novel way, proclaims that the universe cannot be squeezed to a size shorter than the Planck length in any of its spatial dimensions.

Recall from Chapter 6—and the Price is Right example—that the "natural" energy scale of string theory is the Planck energy, and it is only through extremely delicate cancellations that string theory yields vibrational patterns with masses in the vicinity of those of the known matter and force particles.