Hilbert Space Quotes

Later Michel went up to the priest as he was packing away the tools of the trade. "I was very interested in what you were saying earlier ... " The man of God smiled urbanely, then Michel began to talk about the Aspect experiments and the EPR paradox: how two particle, once united, are forever and inseparable whole, "which seems pretty much in keeping with what you were saying about one flesh." The priest's smile froze slightly. "What I'm trying to say, "Michel went on enthusiastically, "is that from an ontological point of view, the pair can be assigned a single vector in Hilbert space. Do you see what I mean? ~ Michel Houellebecq

In Hilbert space no one can hear you scream. ~ Yakir Aharonov

In Hilbert space, the classical states are just in one corner of the room, quantum attention functions are in the middle, and they are the matrix of cosmic functions that can collapse any other quantum wave function and transform the non-classical states into classical states in the Hilbert space. ~ Amit Ray

Quantum phenomena do not occur in a Hilbert space. They occur in a laboratory. ~ Asher Peres

Relativity theory applies to macroscopic bodies, such as stars. The event of coincidence, that is, in ultimate analysis of collision, is the primitive event in the theory of relativity and defines a point in space-time, or at least would define a point if the colliding panicles were infinitely small. Quantum theory has its roots in the microscopic world and, from its point of view, the event of coincidence, or of collision, even if it takes place between particles of no spatial extent, is not primitive and not at all sharply isolated in space-time. The two theories operate with different mathematical conceptsãthe four dimensional Riemann space and the infinite dimensional Hilbert space, respectively. So far, the two theories could not be united, that is, no mathematical formulation exists to which both of these theories are approximations. All physicists believe that a union of the two theories is inherently possible and that we shall find it. Nevertheless, it is possible also to imagine that no union of the two theories can be found. This example illustrates the two possibilities, of union and of conflict, mentioned before, both of which are conceivable. ~ Eugene Paul Wigner

In other words, the idea is the there's a fourth level of parallel universes that's vastly larger than the three we've encountered so far, corresponding to different mathematical structures. The first three levels correspond to noncommunicating parallel universes within the same mathematical structure: Level I simply means distant regions from which light hasn't yet had time to reach us, Level II covers regions that are forever unreachable because of the cosmological inflation of intervening space, and Level III, Everett's "Many Worlds," involves noncommunicating parts of the Hilbert space of quantum mechanics. Whereas all the parallel universes at Levels I, II and III obey the same fundamental mathematical equations (describing quantum mechanics, inflation, etc.), Level IV parallel universes dance to the tunes of different equations, corresponding to different mathematical structures. Figure 12.2 illustrates this four-level multiverse hierarchy, one of the core ideas of this book. ~ Max Tegmark

I would like to make a confession which may seem immoral: I do not believe in Hilbert space anymore. ~ John Von Neumann

In that sense at least the rector of Saint Barnabas, a man named Robert MacFarlane, did not strike me as evangelical at all. His sermons were not seamless and armor plated but had spaces in them, spaces of silence as if he needed those spaces to find deep within himself what he was going to say next, as if he was giving the rest of us space to think for a moment about what he had just been trying to say last. There was never any doubt in my mind but that the faith he was laying out before us was a faith that, even as he spoke it, he was drawing out of the raw stuff of his own life. He spoke very quietly, and the church he spoke in was not brilliantly lit but full of shadow, full of secrets. ~ Frederick Buechner

NASA even sent Chuck Berry's music on a space probe searching for intelligent life in outer space. Well, now, if they're out there, they're duck walking ~ William J. Clinton

Space is not an enterprise that belongs to the U.S. or to Russia or to China - it is a human endeavor and experience. And that's as it should be. ~ Scott Carpenter

My own interest is the responsibility of people to be responsible for their own lives and, with their neighbors, for their public space and actions. To sing their own songs. To make their own inventions..To build and not just to envy. To light that candle which is so much better than cursing the darkness. To be as much as the human condition can sustain, rather than being only what a system can allow. ~ Karl Hess

It is users that are driving the networks with innovations on top of the networks and with innovations in the devices space. This is very healthy. ~ Hans Vestberg

The reason we have the stars twinkle at night is because the light is being kind of blurred by the atmosphere around the Earth. That is why the Hubble Space Telescope is so good, because it is above the atmosphere. So it is kind of like looking at the sun from the bottom of a swimming pool, versus looking at the sun above the swimming pool. ~ Michael J. Massimino

Listen. Look. Desire is a house. Desire needs closed space. Desire runs out of doors or windows, or slats or pinpricks, it can't fit under the sky, too large. Close the doors. Close the windows. As soon as you laugh from nerves or make a joke or say something just to say something or get all involved with the bushes, then you blow open a window in your house of desire and it can't heat up as well. Cold draft comes in. ~ Aimee Bender

Here's the story of how Pluto lost its planetary status and was demoted to an ice ball in the outer solar system. It's also about my role in this at the Rose Center for Earth and Space at the American Museum of Natural History. ~ Neil DeGrasse Tyson

Like most problems with technology, pollution is a problem of scale. The biosphere might have been able to tolerate our dirty old friends coal and oil if we burned them gradually, but how long can it withstand a blaze of consumption so frenzied that the dark size of this planet glows like a fanned ember in the night of space. ~ Ronald Wright

It's a fixer-upper of a planet but we could make it work. ~ Elon Musk

She climbed into the shuttle and got in his personal space. "Who are you working for?"

The man spat in her face.

She rolled her eyes and wiped the spittle off her cheek. Then she punched him square across the jaw before grabbing him by the throat. "WHO are you working for? ~ G.S. Jennsen

It's our destiny to explore. It's our destiny to be a space-faring nation. ~ Eugene Cernan

Of course I love when people are quiet, but I also love when people are comfortable. I love when people emote. The flip side of having a totally silent audience is that they're less likely to react to you in the space, and I think that's one of the great things about performing live: you get energy from the audience, and you give energy back to them. There's interaction. ~ Missy Mazzoli

And then, even if I pulled all that off, if I took something that big out of my dream, it would drain the ley line, possible making Cabeswater disappear again, this time with us in it, sending us all to some never-never land of time-space fuckery that we might never escape from. ~ Maggie Stiefvater

I am done slowing down, giving people their time and space, letting them explore their options. ~ Marla Miniano

Everyone, red state, blue state, everyone supports space exploration. ~ Bill Nye

Perhaps sound is only an insanity of silence, a mad gibber of empty space grown fearful of listening to itself and hearing nothing. ~ Steven Millhauser

Yuri Gagarin, the first man in space, may have had his charms, but he really couldn't be considered hip. ~ Alexei Sayle

I look at Starbucks, Howard Schultz has made many brilliant decisions, and one of the things that they did was they invented the third space. It's not work, it's not home. That's one of the engines of its spread. But at the same time he was doing that, he bet the farm to open more and more stores in any given town, and making it ubiquitous made it much easier to say to your friend, I'll meet you at Starbucks. ~ Seth Godin

Safe-space' policies...treat adult students like delicate flowers and words and images as if they were automatic weapons ~ Mick Hume

When We Enter The Space Of Eternity, We Feel Sheltered". ~ Venugopal Acharya

Narrative and characters have always interested me. I never tried to alienate an audience. Of course, gradually, I wanted a bigger and bigger space to draw people in, so it's very organic. ~ Miranda July

Well, time and space give you clarity, and sometimes you don't realize things until . . . you do. ~ Carola Lovering

She strolled between shelves, looking at titles, smiling as she met old friends - books she had read three times or five times or a dozen. Just a title, or an author's name, would be enough to summon up happy images. Strange creatures like phoenixes and psammeads, moving under smokey London daylight of a hundred years before, in company with groups of bemused children; starships and new worlds and the limitless vistas of interstellar night, outer space challenged but never conquered; princesses in silver and golden dresses, princes and heroes carrying swords like sharpened lines of light, monsters rising out of weedy tarns, wild creatures that talked and tricked one another ... ~ Diane Duane

Cells became molecules - countless and complex and varied. The demarcation of one thing and another failed. There was only a community of molecules, shifting in a vast dance. And then the atoms that made the molecules gave up their space, and she was a breath. A mist. A tiny play of fields and interactions in a vacuum as perfect as space. She was a vibration in nothingness. ~ James S.A. Corey

At the same time, new concepts and abstractions flow into the picture, taking up the task of describing the universe without reference to such time or space - abstractions for which our language lacks adequate terms. ~ Benjamin Whorf

In my mind I needed a symbol of today's technology, and I realized that what I wanted to photograph was the Space Shuttle. And so that's where Places of Power came into being. ~ John Sexton

I'm strong thanks to you, Kyra. You're my strength. And who the hell was she to put that burden on me? I was her strength? Then what did that mean as the cancer ate her from the inside out? What did that mean as she got weaker and weaker and weaker? When the cancer migrated her brain and made her forget things and space out randomly?
You can't rely on other people to be your strength.
You have to be your own strength. ~ Barry Lyga

Pong had mutated into large stand-up Sega consoles by '82 and here was some extra revenue the guys were well up for. So the space on the left of the entrance was to be the games room. Until two weeks to opening.
"Where's the cloakroom?"
"The what?"
"The cloakroom, the fucking cloakroom."
"What's your problem?"
"We don't have a cloakroom. We have special polished South African granite bar tops that we haven't told Erasmus about 'cause he has a thing about apartheid, we have a balcony balustrade made of shaped QE-fucking-2 mahogany, but we seem to have built an entire club without a cloakroom."
"Fuck."
Hence you did not pass the games room but the cloakroom, the only cloakroom in the Manchester with forty-two power points. if you ever wanted to do a bit of ironing, these people were there for you. ~ Tony Wilson

My heart filled with Nick's smile, with the look of sheer adoration he gave me as he lugged the bucket. In the space of an instant, I felt it again - the crumbling of an old part of me, the growth of something new. The changing of my heart into a mother's heart. It happened at the strangest times, in the most unexpected ways. Nick looked at me, and the love I felt for him was almost painful in its intensity. I'd never known I had it in me, the capacity to love this way ... But when Nick looked at me, my mind tumbled through nights and mornings, seasons and years in the future ... I saw a future like none I'd ever imagined. I wanted it, every minute of it. ~ Lisa Wingate