13 June 2014

Notes - unitarity / (humor without the joke) - draft Dead 2.2

          Mid-morning. You are at the park. Carol has begun her walk this cool cloudy morning. The bands of rain are between Indianapolis and Cincinnati. Last night you watch “Suits” new summer episode and had supper about eight. You were going to get blood work this morning for next Tuesday with Dr. B but you had a sugar free cough drop during the night so tomorrow for the blood instead. – Amorella

         0902 hours. I’m feeling like the weather’s cool wind, a wind that should be waking me up, but so far it is not. The Enquirer, really the USA Today within the Enquirer, says that the next Friday 13 with a full moon will be in 2049. Most people are superstitious about one thing or another. I remember a few years ago I changed a flight from California to Chicago to the 14th. It was a surprise that I would do that but I did. I don’t really see the correlation between the date and the full moon. But if a lot of traffic accidents occur today, it would be a fun coincidence.

         An older fellow that I used to see on our walks pulled in to go fishing. He almost always has a white painter’s hat on; a very congenial fellow. He came over to the car and told me his wife passed last September and they were married for 52 years. He is having a hard time getting over it (I doubt I ever would). He said, “You know, you are with your parents some eighteen years, but that is nothing to fifty-two years with your wife.” – Carol is just returning. It is a rather somber note. (0933)

         You are home and did a few outside chores before the rains hit. Carol is working up her coupons before you head to Kroger’s – double points for fuel if you buy on Friday or the weekend. It doesn’t seem proper to you to have Socrates come to Merlyn; Merlyn should have a question for Socrates not the other way around. Is this, or is this not correct? – Amorella

         1004 hours. You are right. I want these Dead to be respectful of ‘age’ so to speak. Well, I want to be respectful of age. It is a part of the manners I was taught but don’t always heed to. Beret-wearing comes to mind. Besides, people are taught all kinds of things by parents then by peers and subsequent culture. It goes back to being respectful and polite in class.

         You are at Kroger’s waiting for Carol. The rain has begun. There are Microsoft Word problems with creating a new document perhaps it would be better to begin with a clean document. – Amorella

         1227 hours. We are home for a while now. I began the Dead 2.2. We are to lunch within the hour I would imagine. Feeling the need for another nap.

         1643 hours. Unitarity is coming up in ‘Dead 2.2’ and I am in need of handling this.

** **
Unitarity

In quantum physics, unitarity is a restriction on the allowed evolution of quantum systems that ensures the sum of probabilities of all possible outcomes of any event is always 1.
More precisely, the operator, which describes the progress of a physical system in time must be a unitary operator. When the Hamiltonian is time-independent the unitary operator is.
Similarly, the S-matrix that describes how the physical system changes in a scattering process must be a unitary operator as well; this implies the optical theorem.
In quantum field theory one usually uses a mathematical description, which includes unphysical fundamental particles, such as longitudinal photons. These particles must not appear as the end-states of a scattering process. Unitarity of the S-matrix and the optical theorem in particular implies that such unphysical particles must not appear as virtual particles in intermediate states. The mathematical machinery, which is used to ensure this, includes gauge symmetry and sometimes also Faddeev-Popov ghosts.
Since unitarity of a theory is necessary for its consistency, the term is sometimes also used as a synonym for consistency, and is sometimes used for other necessary conditions for consistency, in particular the condition that the Hamiltonian is bounded from below. This means that there is a state of minimal energy (called the ground state or vacuum state). This is needed for the second law of thermodynamics to hold.
In theoretical physics, a unitarity bound is any inequality that follows from the unitarity of the evolution operator of the, i.e. from the statement that probabilities are numbers between 0 and 1 whose sum is conserved. Unitarity implies, among other things, the optical theorem. According to the optical theorem, the imaginary part of a probability amplitude Im(M) of a 2-body forward scattering is related to the total cross section, up to some numerical factors. Because  for the forward scattering process is one of the terms that contributes to the total cross section, it cannot exceed the total cross section i.e. Im(M). The inequality implies that the complex number M must belong to a certain disk in the complex plane. Similar unitarity bounds imply that the amplitudes and cross section cannot increase too much with energy or they must decrease as quickly as a certain formula dictates.
Selected and edited from Wikipedia – unitarity (no sources sited)
** **

         It is late and time for bed. You have completed a draft of Dead 2.2. In the distance of tomorrow you can read it again. Add and post. – Amorella

         2251 hours. I do not know that it makes sense as is but I know what I am trying to say, at least a base of what I am attempting to show. If anything it needs a dash of wit to stir in the pot.

***
The Dead 2-2, draft 

         Merlyn sits perplexed. I am the appearance of an overcrowded forest that needs thinning. Heartansoulanmind, the roots, the base of this forest is entangled and unable to move.
         From below Merlyn’s entanglement the Supervisor whispers, “See one of your own kind, my friend.”
         Fog, I am, thinks Merlyn; and the buoy bell rings in a string of letters – a congregation of droplets; I connect the dots. Above or below I must go. I would rather see fog as cloud so . . ..
         Socrates sits down on an in-the-mind stone bench with the dignity of the Acropolis on the hill, halo-like behind him. “Come sit by me, Merlyn, he suggests, as he pats the stone. Socrates smiles broadly with eyes twinkling in the foreground. “I enjoy appearing old and out of sorts to passers-by. They keep their distance.”
         “I like the isolation.”
         “Too many visitors otherwise -- well meaning and sincere spirits who want answers to personal questions.”
         Merlyn laughs, “They want to know if I am a composite spirit.”
         “We are all human spirits, even our marsupials comrades,” suggests Socrates. “I feared I would be asked to return to the Living; I am glad you were chosen.”
         “Spirits know you were real; many aren’t sure about me,” jokes Merlyn warmly.
         “This allows for a slight-of-hand physiology even without the use of hands,” returns Socrates in his best of good nature.
         “I have a sense of the greater reality here, in this meandering Place of the Dead, but we have an entanglement with matter, still – we have ‘impressions’ of what we were as bodies first. I don’t . . .”
         “To lose our sense of body loosens our sense of self; yet we know better. Here we exist, each within our souls alone. Otherwise, how could I create a wall between myself and other souls that are mostly too kind and curious?”
         “Do we each become a community of one?” asks Merlyn. “What do you see? I see little more than fog. I need a solidification of this metaphysical entanglement at its root. In the twenty-first century the Principle of Unitarity suggests spirits may be inextinguishable.”
         “We spirits are basically Before-matter-in-any-form – unseen and unknown in any form of matter we are perpetually permanent,” reinforces Socrates, “Ghosts on the other side, spirits here, we are as Forms, according to a once gifted student of mine.”
         “It is as if one could displace the alphabet and say that the letters in the sentences still exist in their thought,” remarks Merlyn in some personal clarity. Then quickly adds, “But as Forms, we are not Perfect as Plato suggested.”
         “Even now, with nothing but heartansoulanmind, we cannot define perfection. Who is to say, what is what? I would think that even the Supervisor cannot say what is what. I think SheanHe would have the ghost of a chance at giving the basic state, the delineated ground, if you will, where these spiritual roots of ours are nurtured to grow into and through very bodily nervous systems,” so says Socrates. He concludes, “We were, are, and will be.”
         “But in what state?” asks Merlyn, “What force-in-being entangles heart and soul and mind at the root?”
         “Passion,” replies Socrates, “that is my guess, but I do not know. Even now, being dead millenniums, I have questioned people. Who am I? Why do I exist still?” He thinks, in Living I asked these questions and others. I am no further along than had I been in a peacefully dead sleep.
         “I do not know,” says Merlyn. “Passion is not spiritual. It is not many elements that make up being human, but it exists in individuals and in the great community of both the Living and the Dead. It wells and subsides in waves of emotion and rational thought. Why would passion be the root of heartansoulanmind? A passionate heart; a passionate mind; these are understandably human and known through circumstantial evidence. Is passion the cause of every circumstance?”
         Socrates sits quietly. “Perhaps passion is the First Cause and all else is the effect, the circumstance. What do you think, Merlyn?
         “I do not know.”
         “We both know nothing.”
         The sober silence sat between the two spirits and held them loosely in its grip.
         Finally, Socrates smiled slightly declaring his latest word on the subject, “Merlyn, he says, “When we realize we know nothing, the soul shines a short smile.”
         “Humor is what the soul understands,” suggests Merlyn, “it arises from the passion that drives what we are.” And, as if sharing his soul, he says, “Humanity is the pun not the punch line.”
         Socrates replies, “We know nothing, but we know nothing but the smile resting on our hearts.”

***

         

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