Collapse Of The Wave Function Quotes

The advantage of this interpretation is that we can drop condition number three, the collapse of the wave function. Wave functions never collapse, they just continue to evolve, forever splitting into other wave functions, in a never-ending tree, with each branch representing an entire universe. The great advantage of the many worlds theory is that it is simpler than the Copenhagen interpretation: it requires no collapse of the wave function. The price we pay is that now we have universes that continually split into millions of branches. ~ Michio Kaku

We can heal others or manifest things by changing the subconscious thought patterns and collapsing the quantum wave functions through conscious attention. ~ Amit Ray

To resolve the discrepancy between waves of probability and our commonsense notion of existence, Bohr and Heisenberg assumed that after a measurement is made by an outside observer, the wave function magically "collapses," and the electron falls into a definite
state - that is, after looking at the tree, we see that it is truly standing. In other words, the process of observation determines the final state of the electron. Observation is vital to existence. ~ Michio Kaku

A quantum atom with two electrons is a much more complicated object to visualize, and I'm not aware that it's ever been done very well. The challenge is that for each possible position of one electron, the wave function of the other is a different three-dimensional object. So really, the natural home of the total wave function, for the two-electron system, is a space of 3 + 3 = 6 dimensions. It is quite a challenge to present such an object in a way that human brains find meaningful. ~ Frank Wilczek

Between democracy and rule of law There has always been a close historical association between the rise of democracy and the rise of liberal rule of law.32 As we saw in chapter 27, the rise of accountable government in England was inseparable from the defense of the Common Law. Extension of the rule of law to apply to wider circles of citizens has always been seen as a key component of democracy itself. This association has continued through the third-wave democratic transitions after 1975, where the collapse of Communist dictatorships led to both the rise of electoral democracy and the creation of constitutional governments protecting individuals' rights. ~ Francis Fukuyama

It is a common belief that we breathe with our lungs alone, but in point of fact, the work of breathing is done by the whole body. The lungs play a passive role in the respiratory process. Their expansion is produced by an enlargement, mostly downward, of the thoracic cavity and they collapse when that cavity is reduced. Proper breathing involves the muscles of the head, neck, thorax, and abdomen. It can be shown that chronic tension in any part of the body's musculature interferes with the natural respiratory movements.
Breathing is a rhythmic activity. Normally a person at rest makes approximately 16 to 17 respiratory incursions a minute. The rate is higher in infants and in states of excitation. It is lower in sleep and in depressed persons. The depth of the respiratory wave is another factor which varies with emotional states. Breathing becomes shallow when we are frightened or anxious. It deepens with relaxation, pleasure and sleep. But above all, it is the quality of the respiratory movements that determines whether breathing is pleasurable or not. With each breath a wave can be seen to ascend and descend through the body. The inspiratory wave begins deep in the abdomen with a backward movement of the pelvis. This allows the belly to expand outward. The wave then moves upward as the rest of the body expands. The head moves very slightly forward to suck in the air while the nostrils dilate or the mouth opens. The expiratory wave begins in the upper part of the body ~ Alexander Lowen

You are a function of what the whole universe is doing in the same way that a wave is a function of what the whole ocean is doing. ~ Alan W. Watts

Some might question whether it makes sense to talk about setting up the experiment and running it again with exactly the same conditions--that it is, in fact, impossible. Locally, you might get the conditions exactly the same, but you have to embed the experiment in the universe, and that has moved on. You can't rewind the wave function of the universe and rerun it. The universe is a one-time-only experiment that includes us as part of its wave function, and there's no going back. ~ Marcus Du Sautoy

My half-baked reading of history is that we continue to go through these waves of entrepreneurial explosion followed by merger mania and consolidation. Out of that come big sluggish companies that eventually collapse under the weight of what they've created, and are killed off by the next wave of entrepreneurs. ~ Tom Peters

Bohr advanced a heavyhanded remedy: evolve probability waves according to Schrodinger's equation whenever you're not looking or performing any kind of measurement. But when you do look, Bohr continued, you should throw Schrodinger's equation aside and declare that your observation has caused the wave to collapse.

Now, not only is this prescription ungainly, not only is it arbitrary, not only does it lack a mathematical underpinning, it's not even clear. For instance, it doesn't precisely define "looking" or "measuring." Must a human be involved? Or, as Einstein once asked, will a sidelong glance from a mouse suffice? How about a computer's probe, or even a nudge from a bacterium or virus? Do these "measurements" cause probability waves to collapse? Bohr announced that he was drawing a line in the sand separating small things, such as atoms and their constituents, to which Schrodinger's equation would apply, and big things, such as experimenters and their equipment, to which it wouldn't. But he never said where exactly that line would be. The reality is, he couldn't. With each passing year, experimenters confirm that Schrodinger's equation works, without modification, for increasingly large collections of particles, and there's every reason to believe that it works for collections as hefty as those making up you and me and everything else. Like floodwaters slowly rising from your basement, rushing into your living room, and threatening to engulf your attic, the math ~ Brian Greene

The physical reality is assumed to be the wave function of the whole universe itself. ~ Hugh Jackman

[T]he new weird represents a productive experiment in fantasy fiction. The New Wave of the 1960s and 1970s arguably embodied science fiction's claim to literary 'seriousness.' This desire for seriousness is not snobbery, as sometimes suggested by folks who overemphasize the entertainment function of speculative fiction; it's about recognition of the vast possibilities within the field. ~ Darja Malcolm-Clarke

The Universe has expanded, but it originates from the same source. We were made from the same energy that created the stars. You are not your name, your resume, your accomplishments, or your ethnic background; you are a part of the whole Universe, just as a wave is a part of the ocean. You breathe without effort, your cells function independently without your control, your mind functions naturally, you are more than just an identity; you are the Universe. When you understand this intuitively and not just intellectually, you will inevitably feel an overwhelming sense of oneness, a realization that you are not a separate entity, that you are an integral piece of your environment. This realization is the mental state that is properly associated with the term enlightenment. ~ Joseph P. Kauffman

Alpha waves in the human brain are between 6 and 8 hertz. The wave frequency of the human cavity resonates between 6 and 8 hertz. All biological systems operate in the same frequency range. The human brain's alpha waves function in this range and the electrical resonance of the earth is between 6 and 8 hertz. Thus, our entire biological system - the brain and the earth itself - work on the same frequencies. If we can control that resonate system electronically, we can directly control the entire mental system of humankind. ~ Nikola Tesla

So, what is light? Is it a pure bombardment by particles (photons) or a pure wave? Really, it is neither. Light is a more complicated physical phenomenon than any single one of these concepts, which are based on classical physical models, can describe. To describe the propagation of light and to understand the phenomena like interference, we can and have to use the electromagnetic wave theory. When we want to discuss the interaction of light with elementary particles, however, we have to use the photon description. This picture, in which the particle and wave descriptions complement each other, has become known as the wave-particle duality. The modern quantum theory of light has unified the classical notions of waves and particles in the concept of probabilities. The electromagnetic field is represented by a wave function, which gives the probabilities of finding the field in certain modes. The photon is the energy associated with these modes. ~ Mario Livio

There is a cosmic "entanglement" between every atom of our body and atoms that are light-years distant. Since all matter came from a single explosion, the big bang, in some sense the atoms of our body are linked with some atoms on the other side of the universe in some kind of cosmic quantum web. Entangled particles are somewhat like twins still joined by an umbilical cord (their wave function) which can be light-years across. What happens to one member automatically affects the other, and hence knowledge concerning one particle can instantly reveal knowledge about its pair. Entangled pairs act as if they were a single object, although they may be separated by a large distance. ~ Michio Kaku

Before an observation is made, an object exists in all possible states simultaneously. To determine which state the object is in, we have to make an observation, which "collapses" the wave function, and the object goes into a definite state. The act of observation destroys the wave function, and the object now assumes
a definite reality. ~ Michio Kaku

The quantum attention function can reduce a wave instantaneously to a tiny local region. The wave function evolves naturally, without an observer, from a mix of states into a single, well-defined state. To measure we introduced a matrix of extra non-linear mathematical components known as attention function, which rapidly promotes one state at the expense of others, in a stochastic way. ~ Amit Ray

The fun-seekers, I noted, were spontaneous and flexible. They approached each day and each situation with a willingness to ride whatever wave came along, just for the experience of it. The complainers, on the other hand, would only catch a wave if it was exactly to their liking. Anything else drew loud protestations about how it was not what they expected. ~ Alice Steinbach

The Eastern front is like a house of cards. If the front is broken through at one point all the rest will collapse. ~ Heinz Guderian

I wanted peace and quiet, tranquillity, but was too much aboil inside. Somewhere beneath the load of the emotion-freezing ice which my life had conditioned my brain to produce, a spot of black anger glowed and threw off a hot red light of such intensity that had Lord Kelvin known of its existence, he would have had to revise his measurements. A remote explosion had occurred somewhere, perhaps back at Emerson's or that night in Bledsoe's office, and it had caused the ice cap to melt and shift the slightest bit. But that bit, that fraction, was irrevocable. Coming to New York had perhaps been an unconscious attempt to keep the old freezing unit going, but it hadn't worked; hot water had gotten into its coils. Only a drop, perhaps, but that drop was the first wave of the deluge. One moment I believed, I was dedicated, willing to lie on the blazing coals, do anything to attain a position on the campus -- then snap! It was done with, finished, through. Now there was only the problem of forgetting it. If only all the contradictory voices shouting inside my head would calm down and sing a song in unison, whatever it was I wouldn't care as long as they sang without dissonance; yes, and avoided the uncertain extremes of the scale. But there was no relief. I was wild with resentment but too much under "self-control," that frozen virtue, that freezing vice. And the more resentful I became, the more my old urge to make speeches returned. While walking along the streets words would spill ~ Ralph Ellison

My father nodded. His nod was for me. Different. But not different at all. My father understood. Maybe he had known. Maybe he hadn't. It didn't matter anymore. He understood. I knew he understood, just from his nod, just from his eyes on mine, making his eyes kind for me, and the wave of pain went away for a moment. ~ Adam Berlin Belmondo Style

Young professionals seeking cities to live and work in, and a wave of immigrants in inner-city neighborhoods and inner suburbs that eventually produced second-generation college graduates who moved into the center city to live and work. These groups joined the gays and artists who have always chosen to live in urban communities.12 Edward Glaeser points out that not all cities have succeeded in the past generation - and he points to Detroit, Michigan, and Leipzig, Germany, as examples. But most cities have found the power to reinvent themselves, argues Glaeser, because the essence of what makes a city a city is the bringing of people together to innovate. At one level, this means bringing together the most highly trained and talented people, the "elites." Yet at another level, it means bringing together the most energetic, ambitious, and risk-taking people from among the ~ Timothy Keller

All the trees of the world appeared to be rushing towards Aslan. But as they drew nearer they looked less like trees, and when the whole crowd, bowing and curtsying and waving thin long arms to Aslan, were all around Lucy, she saw that it was a crowd of human shapes. Pale birch-girls were tossing their heads, willow-women pushed back their hair from their brooding faces to gaze on Aslan, the queenly beeches stood still and adored him, shaggy oak-men, lean and melancholy elms, shock-headed hollies (dark themselves, but their wives all bright with berries) and gay rowans, all bowed and rose again, shouting, "Aslan, Aslan!" in their various husky or creaking or wave-like voices. ~ C.S. Lewis

Your Eve was wise, John. She knew that Paradise would make her mad, if she were to live forever with Adam and know no other thing but strawberries and tigers and rivers of milk. She knew they would tire of these things, and each other. They would grow to hate every fruit, every stone, every creature they touched. Yet where could they go to find any new thing? It takes strength to live in Paradise and not collapse under the weight of it. It is every day a trial. And so Eve gave her lover the gift of time, time to the timeless, so that they could grasp at happiness.
...
And this is what Queen Abir gave to us, her apple in the garden, her wisdom--without which we might all have leapt into the Rimal in a century. The rite bears her name still. For she knew the alchemy of demarcation far better than any clock, and decreed that every third century husbands and wives should separate, customs should shift and parchmenters become architects, architects farmers of geese and monkeys, Kings should become fishermen, and fishermen become players of scenes. Mothers and fathers should leave their children and go forth to get other sons and daughters, or to get none if that was their wish. On the roads of Pentexore folk might meet who were once famous lovers, or a mother and child of uncommon devotion--and they would laugh, and remember, but call each other by new names, and begin again as friends, or sisters, or lovers, or enemies. And some time hence all things would be tossed up ~ Catherynne M. Valente

What the climate needs to avoid collapse is a contraction in humanity's use of resources; what our economic model demands to avoid collapse is unfettered expansion. ~ Naomi Klein

You are my heart as it beats within my chest, my soul as it moves through my mind. The breath in my body that so fascinates you is your essence pouring in and out of me in a wave that drowns me over and over again until I cannot breathe for wanting you. Needing you. ~ Jacquelyn Frank

The greatest blunder I have seen that almost everyone makes is to just speak their mind. It doesn't make any sense. They sound like the squawking ducks in a pond. The mind is not meant to be spoken. The mind is mostly waves of thoughts and sensations from many sources. The mind is meant to know the truth. Know your own mind and use it to speak the truth. ~ Harbhajan Singh Yogi

Man's destiny was no longer determined from 'above' by a super-human wisdom and will, but from 'below' by the sub-human agencies of glands, genes, atoms, or waves of probability ... they could determine his fate, but could provide him with no moral guidance, no values and meaning. A puppet of the Gods is a tragic figure, a puppet suspended on his chromosomes is merely grotesque. ~ Arthur Koestler

We live in a time of turmoil. Earthquakes and tsunamis wreak devastation, governments collapse, economic stresses are severe, the family is under attack,
and divorce rates are rising. We have great cause for concern. But we do not need to let our fears displace our faith. We can combat those fears by strengthening our faith. ~ Russell M. Nelson

I was planning to sort my comic books based on level of second wave feminist influence." "As opposed to first wave?" "Yes, well, Susan B. Anthony laid the foundation for those who have come after. It's all really interrelated but she didn't have direct influence over late twentieth century comics. ~ Penny Reid

He shook his head. "Good-bye, my dear. I'm afraid the next time we meet, we'll be bitter enemies."
She clasped his hand. "Then I hope we never meet again."
Then, with a wave of her hands, she vanished. ~ Traci Chee

If we just stay at the crest of the mycelial wave, it will take us into heretofore unknown territories that will be just magnificent in their implications. ~ Paul Stamets

The law that entropy always increases holds, I think, the supreme position among the laws of Nature. If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations - then so much the worse for Maxwell's equations. If it is found to be contradicted by observation - well, these experimentalists do bungle things sometimes. But if your theory is found to be against the Second Law of Thermodynamics I can give you no hope; there is nothing for it to collapse in deepest humiliation. ~ Arthur Stanley Eddington

The last light, in the last window, went out. Only the unstoppable machine of the sea still tears away at the silence with the cyclical explosion of nocturnal waves, distant memories of sleepwalking storms and the shipwrecks of dream. ~ Alessandro Baricco

Fascism is the result of the collapse of Europe's spiritual and social order catastrophes broke through the everyday routine which makes men accept existing forms, institutions and
tenets as unalterable natural laws. They suddenly exposed the vacuum behind the facade of society. ~ Peter Drucker

Poetry is a river; many voices travel in it; poem after poem moves along in the exciting crests and falls of the river waves. None is timeless; each arrives in an historical context; almost everything, in the end, passes. But the desire to make a poem, and the world's willingness to receive it
indeed the world's need of it
these never pass. ~ Mary Oliver

If there is not a united policy, this mechanism will not work: it will collapse, and it will ... undoubtedly be the end of Schengen, the return of national borders. ~ Francois Hollande

While the poet entertains he continues to search for eternal truths, for the essence of being. In his own fashion he tries to solve the riddle of time and change, to find an answer to suffering, to reveal love in the very abyss of cruelty and injustice. Strange as these words may sound I often play with the idea that when all the social theories collapse and wars and revolutions leave humanity in utter gloom, the poet
whom Plato banned from his Republic
may rise up to save us all. ~ Isaac Bashevis Singer

Wrong is wrong. Wrong is out there and lives among us. When do you get tired of voting for the lesser of the two evils? Wrong cannot be fought unless you understand what you are fighting against. Wrong can be fought against by using its own energy against itself. Let the system destroy itself. Accelerate the process by backing your resources out of the system. The system may not collapse in your lifetime, but you have the ability to help set up future generations, your children's children, to have a better life even further away from the system. ~ Annie Berdel

The ship started a school of fliers that skipped along the wave tops like shining silver coins.
"These are the ghosts of treasures ost at sea," the cook went on, "the murder things, emeralds and diamonds and gold; the sins of men, committed for them, stick to them and make them haunt the ocean. Ah! It's a poor thing if a sailor will not make a grand tale about it."
Henry pointed to a great tortoise asleep on the surface. "And what is the tale of the turtles?" He asked.
"Nothing; only food ... ~ John Steinbeck

Somewhere in the middle of the second glass that Mad Sweeney himself began to throw both details and irrelevancies into Ibis's narrative (" ... such a girl she was, with breasts cream-colored and spackled with freckles, with the tips of them the rich reddish pink of the sunrise on a day when it'll be bucketing down before noon but glorious again by supper ... ") and then Sweeney was trying, with both hands, to explain the history of the gods in Ireland, wave after wave of them as they came in from Gaul and from Spain and from every damn place, each wave of them transforming the last gods into trolls and fairies and every damn creature until Holy Mother Church herself arrived and every god in Ireland was transformed into a fairy or a saint or a dead king without so much as a by-your-leave ... Mr. ~ Neil Gaiman

A few minutes later, the doorbell rang again. This time, I answered it. It was my neighbor, an elderly woman I had exchanged no more than a dozen words with in the ten years I'd lived in Thomaston. She had pot holders on her hands, which held a pan of brownies still hot from the oven, and tears were rolling down her cheeks. "I just heard," she said.
That pan of brownies was, it later turned out, the leading edge of a tsunami of food that came to my children and me, a wave that did not recede for many months after Drew's death. I didn't know that my family and I would be fed three meals a day for weeks and weeks. I did not anticipate that neighborhood men would come to drywall the playroom, build bookshelves, mow the lawn, get the oil changed in my car. I did not know that my house would be cleaned and the laundry done, that I would have embraces and listening ears, that I would not be abandoned to do the labor of mourning alone. All I knew was that my neighbor was standing on the front stoop with her brownies and her tears: she was the Good News. ~ Kate Braestrup