(no subject)
I cannot map this city. If I walk the streets arbitrarily, with no agenda, then I learn nothing. We have enough maps of the supposed physical layout anyway. And if I try to map distance between locations I find myself picturing the locations in my mind and arriving that way, in a manner that defies cartography. On a subconscious level I must be trying to sabotage my own efforts. Other people have no issue simply walking from point A to point B without phase shifts.
The City has a physical layout and a quantum one, as do all locations. I am trying to combine the two on a hypercube but it may all be in vain. I am reminded of a phenomenon I once heard of known as the Heisenberg Uncertainty Principle.
Usually in our macroscopic worlds a person can measure the position and momentum of an object with infinite accuracy. However in quantum mechanics this becomes more difficult due to wave/particle duality. Objects are not either waves or particles. They are both. The amplitude of the wave associated with a particle helps to define its position and the wave's Fourier transform is inversely proportional to its momentum. In order to find the position you need to use a wave with a short wavelength which causes more uncertainty in terms of its momentum. In other words, you cannot state the position and momentum of a particle with one hundred percent accuracy. If you are certain of one you are uncertain of the other. The size of the uncertainties are related as dp x dx > h / (2 x pi) = Planck's constant / (2 x pi).
Old Mr. Heisenberg intended this principle to be used only to describe atomic and subatomic particles. What I am observing in my efforts to map this place is not the Uncertainty Principle as it was originally stated, but it is similar. I cannot accurately describe the distance between locations on the physical map as well as their quantum locations. As I draw closer to one answer I end up farther away from the other. The dimensional coordinates of the City may never be fully understood. Quantum mechanics itself is an incomplete field of study.
So to those of you who have been waiting for me to reveal something concrete and heretofore unknown? I am sorry. Please forgive me. I have no answers. I think I will put aside my mapping task and just focus on my investigations of arrival and departure methods for a while instead.
And apropos of nothing ...My query yesterday regarding the Fountain was not your cue to all go running and check on it.
The City has a physical layout and a quantum one, as do all locations. I am trying to combine the two on a hypercube but it may all be in vain. I am reminded of a phenomenon I once heard of known as the Heisenberg Uncertainty Principle.
Usually in our macroscopic worlds a person can measure the position and momentum of an object with infinite accuracy. However in quantum mechanics this becomes more difficult due to wave/particle duality. Objects are not either waves or particles. They are both. The amplitude of the wave associated with a particle helps to define its position and the wave's Fourier transform is inversely proportional to its momentum. In order to find the position you need to use a wave with a short wavelength which causes more uncertainty in terms of its momentum. In other words, you cannot state the position and momentum of a particle with one hundred percent accuracy. If you are certain of one you are uncertain of the other. The size of the uncertainties are related as dp x dx > h / (2 x pi) = Planck's constant / (2 x pi).
Old Mr. Heisenberg intended this principle to be used only to describe atomic and subatomic particles. What I am observing in my efforts to map this place is not the Uncertainty Principle as it was originally stated, but it is similar. I cannot accurately describe the distance between locations on the physical map as well as their quantum locations. As I draw closer to one answer I end up farther away from the other. The dimensional coordinates of the City may never be fully understood. Quantum mechanics itself is an incomplete field of study.
So to those of you who have been waiting for me to reveal something concrete and heretofore unknown? I am sorry. Please forgive me. I have no answers. I think I will put aside my mapping task and just focus on my investigations of arrival and departure methods for a while instead.
And apropos of nothing ...My query yesterday regarding the Fountain was not your cue to all go running and check on it.