..HH(FG(HH(d'@,<f 33of &&(QHH m"n:"Q0)@ P@; mP (;f m PB(; m P ( ;f m Pp@nX^nnX^dWriteNow 2.0-2.2wv0LFLTI"vers.FTYP:FLTF Helvetica HelveticaGenevaTimes Times-RomanSymbolSymbol<0d0d*0d'0d0 d0@d^ . . . . . . . . . . . . . . . . . . . .PP a0 d`@CST0>)h2222&)k(2T@<)GH k. .@C ST > )h 2 2 2 2 & )k   2 T < @7Second Renaissance Books was on the floor. Second Renaissance Books features "the most complete selection of Ayn Rand's writing and lectures available, and has other (I say Rand is cool) cool stuff, l Q  WriteNowtionshipsIutXp software is licensed to@@This~y will expire lh &?/s.& ViewShow hone extension. I just checked the Yellow Pages, not there. Who is this guy? And how does he know I am interested in this stuff?  My theory is that Andres Versage used my Neutrgena. You k Û;X8 $BII%)H "I1%0 "I % !II%&    !#%"&'$(*3+,/0)1-.2 I have learned some physics, philosophy and history of science, and much about interpersonal relationships. So in the spirit of scientific theories having to validate the prevailing social structures of their time in order to survive, I shall present my Quantum Theory of Relationships. A relationship consists of two wave functions. It is the superposition of the state vectors of the two people involved in it, ym and yf (y is pronounced "sigh", which is what you say when you think of the relationship), the state vector of the male and female respectively. The state vector of the relationship is a function of these two vectors, called ym and yf. So the wave function of the relationship is y(m,f). The relationship consists of a linear combination the desires of what both people want from the relationship, y(m,f)=2/2 y(m) + 2/2 y(f). While the relationship state function is a linear combination of two states, so are ym and y(f). These wave functions represent what the male and female want out of the relationship, respectively. So ym and yf consist of linear combinations of the orthogonal (perpendicular) vectors p and r, or platonic and romantic. ym and yf are functions of r and p, so they are written ym(p,r) and yf(p,r) Since the r and p components make up the state vector, p2 + r2 = 1. The square of the coefficients of p and r is the respective probability of obtaining that value upon measurement. By the orthogonality of p and r, the product of the two vectors, (p,r)=0. This characteristic was found experimentally, as we shall see later. To determine the state of a relationship you are in, you must perform a measurement on it. As with all quantum phenomena, the act of measurement affects the entity measured. And since your consist of half the reafter measurement rather than before. There are two operations you can make on your relationship: P and R. You can measure for its platonic quality or its romantic quality. These matrices have orthonormal basis vectors which are also eigen vectors of he entity measured. And since your state vector consist of half the relationship, your actions greatly affect it. It is more proper to think of the value of the relationship obtained from measurement as describing the relationship immediately can measure y(m,f). To measure either property of the relationship's state vector, you operate on it with the matrix, i.e., multiply the vectlationship's state vector, you operate on it with the matrix, i.e., multiply the vectith the matrix, i.e., multiply the vector by the matrix. Let's you are in a relationship that appears to be platonic and you want to know the state vector of the other person. For P operator, ymeasurer =P, for R operator ymeasurer =R. Let's start with the simpler case, the P operator. Yooou, the measurer, want to make sure the relationship is platonic. You can ensure this by simply talking to the other person about someone you would like to have a romantic relationship with. This instantaneously tells the non-operator that your state v vall later discuss this regarding the R operator. IF you are in a platonic relationship and your state vector consists of a linear combination of p and r, then you might perform a special case of the R operator: R (R prime). I call this the passive R opehange the actual state of the system. Since c is a scalar, the state vector of the relationship has the same "direction" but has a different size. In this case, c >1 and both members of the relationship know they are in a romantic one. The state of the ector is P. If the other person's state vector was P to begin with, then everything is fine and dandy and the operator may have gone by unnoticed. The ynon-operator had a r component, then the non-operator could inconspicuously end the relationship. Innn cases involving more virtuous people, the non-operator faces reality and consciously suppresses the r component of his (her) state vector. With the P operator, y(operator) has the power to change ynon-operator and maintain a healthy relationship. We shhf the partner so desires. The greater the ratio between R and P, the greater the change the R operator will yield an eigen vector, and hence will not disturb, but enhances, the wave function of the relationship. If the mathematical formalism of quantum physics is confusing, then you can look at the relationship as a beam of light and your observation as a polarizer. If both people want a romantic relationship, ym=yf=r, (you're measuring indicates that you want one, so even if your state vector is a linear combination of P and R, it exhibits all R at the time of measurement.), and you put a romantically polarized screen in front of the beam, all the light will go through undisturbed. The mathematical translation of this is that the state of (m,f) coincidation of R and P, the romantic polarizer will allow some of his vector through. This quantity equals the square of the R vector other person's state vector. The polarized light analogy extends the parallel of physics and relationship even further. Note rator. Its quantum effects are very subtle because R does not measure anything about the relationship. Actually, your use of it is an indicator that the r vector is present in your relationship. R consists of not mentioning a relationship that has romip that has romantic potential or one that that you would like to be romantic to the other person in your platonic relationship. Your avoidance of the subject serves to preserve any r component your partner in his(her) state vector. Basica If you operally, you are leaving your options open. If you operate in the relationship with the R operator (indicating that your state vector has an R component.) and you get: R y(m,f)=c y(m,f), c is a scalar, then you'll be happy. The measurement did not cceed with R, that is, it was a scalar multiple of a basis vaector of R. In the case where the other person's state vector is a linear combinint is, it was a scalar multiple of a basis vae In the case where the other person's state vector is a linear combinrelationship did not change, only its intensity. This result does not mean that the other person's state vector had no platonic component to it. In most cases, you will never know the state of the other person's state vector before measurement. The measip is because he (she) would rather have that than nothing at all. Here, we reach an impasse in both the relationship and philosophy. Did the non-observer's state vector have a value before it was measured? Well, it exhibited both platonic and romantiurement forced the state vector into either P or R. This phenomena differentiates between the platonic relationships where a person wants a platonic relationship or nothing at all or likes the platonic relationship but would not mind trying the romantic ithat in the mathematical model where the state vector of the relationship is multiplied by a scalar after observation. This scalar is less than one when the other person's state vector is not all R. Hence, the light is dimmer after the observation. Such relationships can work, provided that the other person's state vector changes to more Romantic. It may not, however. In this case, the only reason the light passed through the romantic polarizer and the non-observer decided to try the romantic relationshc qualities, i.e., it exhibited a platonic/romantic duality just as light exhibits a wave particle duality. The state of the relationships depends on what aspect of it you measure. In the case of R operating on y(m,f) where ym=yf=r, the R operator collaps can not explain what ensues. The non-measurer's state vector remains platonic. The measurer forces his (her) state vector into state P, knowing that is the only state the relationship can possible exist in reality. Yet, for some reason that no field inved the wave into a definite romantic relationship. The same goes for the P operator when the non measurer has an r component in his (her) state vector. The only difference is you, the operator, knew the state of the relationship was p. T function. In ng the observer that the observation forced a decision can damage the already non-mutual relationship. The wave functions of such relationships usually collapse into a non friendship. It should be noted here that ideally, ym and yf should not be able to influence each other. This violation of physical laws eventually catches up to the people involved, as noted above, results in a non-mutual relationship. Let's now discuss the results of operating on the relationship with the romantic operator, and ttterrthoganality of the vectors p and r, their product being 0. Sometimes it returns to its original form, sometimes it never again exists, despite the individual state vectors both in state P. The best explanation of these observations is that P and R are orthogonal and after the R operation is performed and ym=yf=p, the wave functions are out of phase, and thus cancel out any relationship. Hence, ym + yf=y(m,f)=0. In any case, the Romantic operator exhibitssthe wave/paticle duality of relationships. The he non-observer's state vector was P. This measurement greatly disturbs to relationship's wave function. Here, if you measure the romantic polarization of the relationship, and the non-measurer's state vector is P, no light from the non-measurer's wave function will go through. The measurer is left with the desire for a romantic relationship with someone who just wants a platonic relationship. At this point both people know the state of each other's state vectors, and basically all hell breaks loose. Iolving man's reasoning capabilities has been able to establish, the wave function of the relationship after such a measurement, R y(m,f)=0, ymeasurer=R, is destroyed. This result lies in the ooothoganality of the vectors p and r, their product being 0. Som the wave/particle duality of relationships. The measurer did not know the state of the realtionship before measuring it. After the measurment, the wave function of the relationship, as they say, collapsed. his only happens is the he P operator collapses the other persons wave function. In terms of the relationship, only the non-measurer know the state of his (her) vector before the partner observed. 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