Best 21 quotes in «symmetry quotes» category

A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and ordering of our experiences becomes exact. Another example is mathematical group theory. ...important applications of group theory are symmetries which can be found in most different connections both in nature and among the 'artifacts' produced by human beings. Group theory also has important applications in mathematics and mathematical physics. For example, the theory of elementary particles and their interactions can in essential respects be reduced to abstract symmetries. [The Message of the Atoms: Essays on Wolfgang Pauli and the Unspeakable]

Golden Ratio is a powerful mathematical constant woven into the very fabric of biology. It is the unique visual tension between comforting symmetry and compelling asymmetry, and its thoughtful application can bring beauty and harmony and intrigue to all manner of designed things.

...beauty is not symmetry of parts- that's so impotent -as Mishima says, beauty is something that attacks, overpowers, robs, & finally destroys...

Even if a particle could travel backward in time, information could not. Retrocausality will be replaced by something more sophisticated. There are no perfect symmetries, there is no pure randomness everything is an approximation of something else. Information may appear in a digital form but meaning never does. Spacetime is built up from approximations, not discrete ones and zeros, and the only constant may be ratios. Quantum entanglement and geometry; if we think of a particle as being at one pole of an expanding sphere that is not perfectly symmetrical, this surface would be "rippling" like the surface of the ocean (in the audio world this is called dithering), at the other pole is the entangled particle's pair and it is a property of the sphere that gives the illusion of connectivity. This is not a physical geometry, it is a computational geometry. Is spacetime a product of entanglement? Renate Loll believes that time is not perfectly symmetrical. Her computer models require causality. Possibly some form of quantum random walk in state space. If a photon is emitted by an electron inside of a clock on Earth and it travels to a clock four light years away, time stops for the clock on Earth and time jumps forward eight years for the distant clock also, the electron that will capture the photon becomes infinitely large relative to the photon but the electron that emitted it does not become infinitely small therefore, time is not perfectly symmetrical.

But the fact was, Sherrie Marla trusted him already. When he took the ice off, and showed to her his new symmetry, she didn't flinch. His face was him to her now. It was not a map or an indicator of some abstract idea. Turned out it was only the first impression he needed to alter.

Here we have both a paradox, and a beautiful symmetry. It is a duality. I am the earth and you are the moon, and you are the earth and I am the moon.

But why are we attracted to symmetry? Why do we human beings delight in seeing perfectly round planets through the lens of a telescope and six-sided snowflakes on a cold winter day? The answer must be partly psychological. I would claim that symmetry represents order, and we crave order in this strange universe we find ourselves in. The search for symmetry, and the emotional pleasure we derive when we find it, must help us make sense of the the seasons and the reliability of friendships. Symmetry is also economy. Symmetry is simplicity.

If everything in the universe evolves toward increasing disorder, it must have started out in an exquisitely ordered arrangement. This whole chain of logic, purporting to explain why you can't turn an omelet into an egg, apparently rests on a deep assumption about the very beginning of the universe. It was in a state of very low entropy, very high order. Why did our part of the universe pass though a period of such low entropy?

In it's purest form, an act of retribution provides symmetry. The rendering payment of crimes against the innocent. But a danger on retaliation lies on the furthering cycle of violence. Still, it's a risk that must be met; and the greater offense is to allow the guilty go unpunished.

Rachel believes in it, the laws of of pattern formation and how they are universal: whatever she sees, crystallizing, a landscape of fractals, of emergence and symmetry, her world falling happily into shape where he must forge it, a pioneer of industry, sooty and scarred. For Rachel Wolff, quite simply, there are patterns everywhere, she can't help it; she is an illustrator, naturalist, cartographer—and her eye, a kaleidoscope.

It is 23.32 p.m. I still believe in symmetry, so this will be the last part. You've reached an end if you come back to where you started. I also remain superstitious about certain numbers. I use 23 and 32 for my lottery tickets, for example. It extends to dates. I still see signs.

Seeing all life in perfect symmetry. Perceiving each day with righteous clarity. Living each moment in purposed reality. Believing each day is the start of eternity.

It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.

the architecture of our brains was born from the same trial and error, the same energy principles, the same pure mathematics that happen in flowers and jellyfish and Higgs particles. Viewed in this way, our human aesthetic is necessarily the aesthetic of nature. Viewed in this way, it is nonsensical to ask why we find nature beautiful. Beauty and symmetry and minimum principles are not qualities we ascribe to the cosmos and then marvel at in their perfection. They are simply what is, just like the particular arrangement of atoms that make up our minds. We are not observers on the outside looking in. We are on the inside too.

The deep question is: Why does nature embody so much symmetry? We do not know the full answer to this question. However, we have some partial answers. Symmetry leads to economy, and nature, like human beings, seems to prefer economy. If we think of nature as a vast ongoing experiment, constantly trying out different possibilities of design, then those designs that cost the least energy or that require the fewest different parts to come together at the right time will take precedence, just as the principle of natural selection says that organisms with the best ability to survive will dominate over time. One physical principle that governs nature over and over is the “energy principle”: nature evolves to minimize energy.

To a physicist, beauty means symmetry and simplicity. If a theory is beautiful, this means it has a powerful symmetry that can explain a large body of data in the most compact, economical manner. More precisely, and equation is considered to be beautiful if it remains the same when we interchange its components among themselves.

The pleasure of this kind of narrative is not that we think we are reading about the real world (although the story usually does map onto our world fairly closely), but rather that the wings of symmetry are unfolding around us; briefly we are on a planet where, as E.M. Forster says, there are no secrets and human behavior makes sense. I call this 'fiction.

The more complex the symmetry, the more constraints. Emergence relies on constraints.

There are no perfect symmetries, there is no pure randomness, we are in the gray region between truth and chaos. Nothing novel or interesting happens unless it is on the border between order and chaos.

What's the Symmetry??? John Doe... Jane Doe... wtf... wtf...

Human behavior is messy and unpredictable and unconcerned with convenient symmetries.