One Reality

The working esoteric tradition of the West is often referred to as the Mysteries. The term mystery is used in the theological sense, where a mystery is a spiritual reality that transcends normal reasoning. The ultimate goal of the Mysteries is divinization our complete and utter identification with the All-That-ls, the One Reality. In many Eastern traditions, this is called enlightenment. In the Western tradition, it is called illumination. 

Beneath the shadow of Thy Wings, O Thou the One Reality, I rest safe and secure. Now do I sink down into the still waters of the Primordial let there be peace, within and without. And arising therefrom, let me vivify the Grail-Altar from the withdrawn Temple of Ruta activating it from latency into the living, potent image of the King s Round Table. 

So the manifestations, the human-built channels of thought and action, are often evil, even though the originating impulse and energy is divine in origin. This is a consequence of human free will. This is why the Qabalah holds the difficult, and easily misunderstood and abused, teaching that, within the heart of every evil there is concealed a spark of the Divine. How could it be otherwise, since there is only One Reality, one Life-Power ... 

There are two realities in the world of the phospholipid science. One reality is that phospholipids are structure-forming molecules. Nature uses these molecules to construct biological membranes... 

The cadastral map is an instrument of control which both reflects and consolidates the power of those who commission it.. . . The cadastral map is partisan where knowledge is power, it provides comprehensive information to be used to the advantage of some and the detriment of others, as rulers and ruled were well aware in the tax struggles of the 18th and 19th centuries. Finally, the cadastral map is active in portraying one reality, as in the settlement of the new world or in India, it helps obliterate the old. 

Any alternative viewpoint with a different emphasis leads to an inequivalent description. There is only one reality but there are many viewpoints. It would be very narrowminded to use only one we have to learn to be able to imagine several. 

The aim of all research must be to study a piece of reality so as to completely realize and experience all aspects of it. In the normal secular mode, we do not experience much at all. We read about a subject, we study it, and at the most we discover a few underlying and hidden laws and principles, but we have not experienced the joy of it. We have not experienced the totality of this reality and realized that this complexity of subjects and fields of study relates to only that one reality. But once we make the proper kind of study, seeing them all as perspectives, it will take us to this principle of delight and give us the total experience of reality. And once we have that, life will change all its colors, and research will enrich our sensibility. It will have made us know life as it ought to be known and studied. We see that what we call, in the cold. 

Although a diatomic molecule can produce only one vibration, this number increases with the number of atoms making up the molecule. For a molecule of N atoms, 3N-6 vibrations are possible. That corresponds to 3N degrees of freedom from which are subtracted 3 translational movements and 3 rotational movements for the overall molecule for which the energy is not quantified and corresponds to thermal energy. In reality, this number is most often reduced because of symmetry. Additionally, for a vibration to be active in the infrared, it must be accompanied by a variation in the molecule s dipole moment. 

Because of the nature of subsurface data, maps and sections are only models or approximations of reality, and always contain a degree of uncertainty. Reduction of these uncertainties is one of the tasks of the geoscientists, and will be further discussed in Section 6.2. 

The corresponding fiinctions i-, Xj etc. then define what are known as the normal coordinates of vibration, and the Hamiltonian can be written in tenns of these in precisely the fonn given by equation (AT 1.69). witli the caveat that each tenn refers not to the coordinates of a single particle, but rather to independent coordinates that involve the collective motion of many particles. An additional distinction is that treatment of the vibrational problem does not involve the complications of antisymmetry associated with identical fennions and the Pauli exclusion prmciple. Products of the nonnal coordinate fiinctions neveitlieless describe all vibrational states of the molecule (both ground and excited) in very much the same way that the product states of single-electron fiinctions describe the electronic states, although it must be emphasized that one model is based on independent motion and the other on collective motion, which are qualitatively very different. Neither model faithfully represents reality, but each serves as an extremely usefiil conceptual model and a basis for more accurate calculations. 

By expressing the mean-field interaction of an electron at r with the N- 1 other electrons in temis of a probability density pyy r ) that is independent of the fact that another electron resides at r, the mean-field models ignore spatial correlations among the electrons. In reality, as shown in figure B3.T5 the conditional probability density for finding one ofA - 1 electrons at r, given that one electron is at r depends on r. The absence of a spatial correlation is a direct consequence of the spin-orbital product nature of the mean-field wavefiinctions... 

The separation of two surfaces in contact is resisted by adhesive forces. As the nonnal force is decreased, the contact regions pass from conditions of compressive to tensile stress. As revealed by JKR theory, surface tension alone is sufficient to ensure that there is a finite contact area between the two at zero nonnal force. One contribution to adhesion is the work that must be done to increase surface area during separation. If the surfaces have undergone plastic defonnation, the contact area will be even greater at zero nonnal force than predicted by JKR theory. In reality, continued plastic defonnation can occur during separation and also contributes to adhesive work. 

John von Neuman, one of the greatest mathematicians of the twentieth century, believed that the sciences, in essence, do not try to explain, they hardly even try to interpret they mainly make models. By a model he meant a mathematical construct that, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work. Stephen Hawking also believes that physical theories are just mathematical models we construct and that it is meaningless to ask whether they correspond to reality, just as it is to ask whether they predict observations. 

This discussion may well leave one wondering what role reality plays in computation chemistry. Only some things are known exactly. For example, the quantum mechanical description of the hydrogen atom matches the observed spectrum as accurately as any experiment ever done. If an approximation is used, one must ask how accurate an answer should be. Computations of the energetics of molecules and reactions often attempt to attain what is called chemical accuracy, meaning an error of less than about 1 kcal/mol. This is suf-hcient to describe van der Waals interactions, the weakest interaction considered to affect most chemistry. Most chemists have no use for answers more accurate than this. 

A few studies have found potential surfaces with a stable minimum at the transition point, with two very small barriers then going toward the reactants and products. This phenomenon is referred to as Lake Eyring Henry Eyring, one of the inventors of transition state theory, suggested that such a situation, analogous to a lake in a mountain cleft, could occur. In a study by Schlegel and coworkers, it was determined that this energy minimum can occur as an artifact of the MP2 wave function. This was found to be a mathematical quirk of the MP2 wave function, and to a lesser extent MP3, that does not correspond to reality. The same effect was not observed for MP4 or any other levels of theory. 

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