i have prepared a sequence of images with which i wish to illustrate some of the peculiarities of one of our favorite topics around here, quantum
mechanics. it is actually pretty easy to understand if you are given a proper explanation. some people would have you believe that (feynman's
quote?) "no one understands quantum physics". these people either do not understand it themselves, or secretly are ashamed of what appears to be
"mystical" properties which cannot be explained by their "expertise". in particular, i would like to offer clarity on the measurement problem and
observer effect, spin states, fractional spin states, coherent and collective states, linear vs. nonlinear, waveform summation, and so forth.
each image represents a measurement of the phase space at an increasing resolution. in the first image, at a resolution of 50 in 200 (or .25
per-seconds), we have a simple wavefunction and its 2D spin matrix (scroll to right for spin states). and also a plot of the sum of its energy
potential across one dimension.
if we take a little closer look, we can begin to see the splitting of the spin states into fractional and integer spins. it is easy to see here what
is meant by "boson" (1) and "fermion" (1/2).
at this resolution, an uneven division of 200 by 30, we can see that the measurement at this interval is having a strange effect on the symmetry.... a
"dissonance". along with this dissonance comes some spins with ODD values. because these spins are odd, they are also non-abelian (abelian means
"this or that"...."one or the other"). this, specifically, is what is meant by a "fractional" spin state. according to physics, these types of
particles dont "officially" exist (exotic).
here, we can start to see a coherent state forming in the field and a very nice symmetry in the energy trace which is typical of a coherent system.
this level of the phase space seems to be dominated by negative charges...i wonder why? there is a definite real particle (and some minor virtual
particles) starting to take shape. do you see how successive measurement on the space creates the particle?
at this level, at a measurement frequency (wavelength) of .025 per-seconds, we can see quite clearly that the function i have mapped over the space
has very little dissonance (noise) in the spectrum....this is of course an idealized example.
in this last measurement, we have sampled the potential at every position in the space. you can see what is known as "braiding" of anyons
(quasiparticles) as the phase propagates. it is most important to note that each of these spin states (1,1/2,1/4, etc.) represent particles
(electrons, protons, etc) which will only be located at a very specific positions (energy value) over the field....their position is enforced by the
but what is the very MOST important thing to get out of this presentation is that the quantum system is a nonlinear STATE function. to put it another
way, if you were to take each of these colored spins one by one, row by row, you would get a linear sequence. but a quantum system is NOT LINEAR.
the state of the system is defined on a level "higher than" the linear sequence. this is why quantum measurement is called an "observer". an
observer is able to view the state of the system, and is necessarily OUTSIDE or ABOVE the system. observation from within the system results in
entanglement (which is an intermediate of actual observation....think shrodinger's live/dead cat).
entanglement and coherence are easily understood as the uncanny effect of the concerted symmetry. one could ask the question, "how does the
potential located at position A know what particle B is doing on the other side of the space?" this is a legitimate question, because the patterns
that develop over a STATE function are impossible to explain with a purely linear, sequential, interpretation.
i really, really want you to understand what is meant by "state". all of those pretty little patterns of lines and circles represent the "spooky"
and time-bending properties so often associated with the quantum theory. it is also why a generalized quantum theory (physicists hate the thought!)
is an excellent candidate for a science of consciousness.
are those particles, individually, aware of the state function in which they are a part? no. thus, the coherent system appears to have a type of
"self-awareness" which scares the hell out of physicists....but excites the rest of us!
see. that wasnt so hard, now, was it?
thanks for reading!