In this metaphor we actually have a picture of the computational universe, a metaphor which I hope to make scientifically precise as part of a research program.

Nothing in life is certain except death, taxes and the second law of thermodynamics.

Indeed, as the above calculation indicates, to take full advantage of the memory space available, the ultimate laptop must turn all its matter into energy.

According to the standard model billions of years ago some little quantum fluctuation, perhaps a slightly lower density of matter, maybe right where we're sitting right now, caused our galaxy to start collapsing around here.

In this metaphor we actually have a picture of the computational universe, a metaphor which I hope to make scientifically precise as part of a research program.

If you wanted to build the most powerful computer you could, you can't do better than including everything in the universe that's potentially available.

At some point, Moore's law will break down.

All physical systems can be thought of as registering and processing information, and how one wishes to define computation will determine your view of what computation consists of.

I would suggest, merely as a metaphor here, but also as the basis for a scientific program to investigate the computational capacity of the universe, that this is also a reasonable explanation for why the universe is complex.

Computers are famous for being able to do complicated things starting from simple programs.

In order to figure out how to make atoms compute, you have to learn how to speak their language and to understand how they process information under normal circumstances.

Merely by existing and evolving in time - by existing - any physical system registers information, and by evolving in time it transforms or processes that information.

One of the things that I've been doing recently in my scientific research is to ask this question: Is the universe actually capable of performing things like digital computations?

We have a picture for how complexity arises, because if the universe is computationally capable, maybe we shouldn't be so surprised that things are so entirely out of control.

Something else has happened with computers.

Of course, one way of thinking about all of life and civilization is as being about how the world registers and processes information. Certainly that's what sex is about; that's what history is about.

It's also a reasonable scientific program to look at the dynamics of the standard model and to try to prove from that dynamics that it is computationally capable.

Thinking of the universe as a computer is controversial.

Similarly, another famous little quantum fluctuation that programs you is the exact configuration of your DNA.

I have not proved that the universe is, in fact, a digital computer and that it's capable of performing universal computation, but it's plausible that it is.

Every physical system registers information, and just by evolving in time, by doing its thing, it changes that information, transforms that information, or, if you like, processes that information.

There are considerable advantages to using many degrees of freedom to store information, stability and controllability being perhaps the most important.

If you take a more Darwinian point of view the dynamics of the universe are such that as the universe evolved in time, complex systems arose out of the natural dynamics of the universe.

The amount of information that can be stored by the ultimate laptop, 10 to the 31st bits, is much higher than the 10 to the 10th bits stored on current laptops.

Science consists exactly of those forms of knowledge that can be verified and duplicated by anybody.

Another feature that everybody notices about the universe is that it's complex.

Instead of having to be a member of the Royal Society to do science, the way you had to be in England in the 17th, 18th, centuries today pretty much anybody who wants to do it can, and the information that they need to do it is there.

What's happened with society is that we have created these devices, computers, which already can register and process huge amounts of information, which is a significant fraction of the amount of information that human beings themselves, as a species, can process.

Of course, not everybody's willing to go out and do the experiments, but for the people who are willing to go out and do that, - if the experiments don't work, then it means it's not science.

You are not here merely to make a living. You are here in order to enable the world to live more amply, with greater vision, with a finer spirit of hope and achievement. You are here to enrich the world, and you impoverish yourself if you forget the errand.

Hope is the struggle of the soul, breaking loose from what is perishable, and attesting her eternity.

All the great things are simple, and many can be expressed in a single word: freedom, justice, honor, duty, mercy, hope.

The tender heart, the broken and contrite spirit, are to me far above all the joys that I could ever hope for in this vale of tears.

The most important training, though, is to experience life as a writer, questioning everything, inventing multiple explanations for everything. If you do that, all the other things will come; if you don't, there's no hope for you.

I hope that people will finally come to realize that there is only one 'race' - the human race - and that we are all members of it.

The only hope is that our civilization will collapse at a certain point, as always happens in history. Then, out of barbarity, a renaissance.

Infuse your life with action. Don't wait for it to happen. Make it happen. Make your own future. Make your own hope. Make your own love. And whatever your beliefs, honor your creator, not by passively waiting for grace to come down from upon high, but by doing what you can to make grace happen... yourself, right now, right down here on Earth.

Hope is generally a wrong guide, though it is very good company by the way.

I don't sit in the corner waiting for death: death has to pursue me. I'm going strong. I hope to reach 100 and ask for an extension, just like my grandmother did.

When I talk to people in need, they tell me they want to hope; they are eager for opportunity; they are ready for better days. And I can tell you that every time their hopes are disappointed, all nations lose.

I'd hope to reach any kid who feels apart from the group - those who seem to be outsiders, who feel different. Kids who want to reach their parents often don't know how to do so.

If we can just take a few companies, and use those as models, as examples, to show the rest of corporate America how they can become more competitive, that's what I'd like to do and that's what I hope to do.

It's part of the calling to at least do a few songs in the show that give people some hope. There's so much hurt in this world and... music is such a great healing balm and a great way to forget your troubles.

Just as a mother finds pleasure in taking her little child on her lap, there to feed and caress him, in like manner our loving God shows His fondness for His beloved souls who have given themselves entirely to Him and have placed all their hope in His goodness.

Yesterday I was a dog. Today I'm a dog. Tomorrow I'll probably still be a dog. Sigh! There's so little hope for advancement.

Testimony is an integral part of the Black religious tradition. It is the occasion where the believer stands before the community of faith in order to give account of the hope that is in him or her.

What can you say about such a man as Christopher Reeve? He embodied all the best that a human being can hope to be.

Hope springs eternal, even in politics.

When I finally gave up any hope of doing anything representative of the American family, I actually seemed to have tapped into other people's weirdness in that way.