real eigenstates

[AntonioLao]

Although the theory that created the concept of eigenstates is based on complex and imaginary numbers, linear Hermitian operators only give real eigenvalues http://en.wikipedia.org/wiki/Eigenvalue. Equivalently, eigenvalues are just the first powers of energy with quantized minimums generally called zero-point energies. The sum of infinite zero-point energies describes the real eigenstates of a true vacuum.
Furthermore, various superpositions of these states could be chosen to derive the states of matter at much lower energies.

Describing states of selected low energy values is limited by the uncertainty of changes in energy ∆E and time ∆t such that their product is always greater than or equal to Planck’s constant of action, ∆E▪∆t ≥ h. Describing states of selected low mass values is limited by the uncertainty of changes in mass ∆m and distance ∆r such that their product is always less than or equal to Planck’s constant divided by lightspeed, ∆m▪∆r ≤ h/c.

The validity of the mass uncertainty rests on heuristic assumption that the absolute quantum of mass is given by an upper bound such that m ≤ |h/rc|, where r now has the value of Planck length. It is worthwhile to note that for experimental measurements, the constant h/c is much smaller than the constant h alone. Therefore mass uncertainty is much more difficult to measure by conventional means. The gravitational constant G is equivalent to rc/h if and only if the quantum of mass is h/rc and the absolute acceleration is c/r. It is not a coincidence that the numerical value is the same as Planck mass.

[mkirkpatrick]

Interesting thread starter Antonio,and a difficult one to get hold off?Low energy or high
energy is energy that is focussed=high,and energy that is defused=low,the operative
word being energy,which is always present.
The ultimate real universal thing seems to be just energy.



regards michael.

[AntonioLao]

The ultimate real universal thing seems to be just energy.

The proper name is zero-point energy. The difficulty is how to add them.