What is "vibrational"

Usage examples of "vibrational".

Among these operators are the Hamiltonian, whose eigenvalues give the energy and hence the mass of the vibrational state, as well as operators generating various gauge symmetries that the theory respects.

The eigenvalues of these latter operators give the force charges carried by the associated vibrational string state.

Mary McKay only by her general reputation, and given that Amanda had put her forward, he had expected the usual New Age Earth Mother Goddess Worshiping Off the Male Chauvinist Pig vibrational blather, which, knowing George, would serve as springboard material for diverse diverting digressions into the wildest of blue yonders.

The flash, a photon, is itself a string in a particular vibrational pattern.

With the discovery of superstring theory, musical metaphors take on a startling reality, for the theory suggests that the microscopic landscape is suffused with tiny strings whose vibrational patterns orchestrate the evolution of the cosmos.

Differences between the particles arise because their respective strings undergo different resonant vibrational patterns.

Similarly, in the context of bosonic string theory, physicists tried all sorts of fancy footwork to make sense of the bizarre prediction of a tachyon vibrational pattern, but to no avail.

The new string theory incorporated supersymmetry, and the observed pairing of bosonic and fermionic vibrational patterns reflected this highly symmetric character.

Each method results in a pairing of bosonic and fermionic vibrational patterns, but the details of this pairing as well as numerous other properties of the resulting theories differ substantially.

Any vibrational pattern that remains on the surface involves some combination of vibrations in these two directions.

Scherk and Schwarz found these properties to be realized exactly by certain vibrational patterns.

As an important example, Scherk and Schwarz found that for the vibrational pattern whose properties make it a candidate for the graviton messenger particle, the energy cancellations are perfect, resulting in a zero-mass gravitational-force particle.

An essential point, however, is that the high string tension ensures that all but a few of these vibrational patterns will correspond to extremely heavy particles (the few being the lowest-energy vibrations that have near-perfect cancellations with quantum string jitters).

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.

Among these operators are the Hamiltonian, whose eigenvalues give the energy and hence the mass of the vibrational state, as well as operators generating various gauge symmetries that the theory respects.