Complex Networks

"Thanks to the rapid advances in network theory it appears that we are not far from the next major step: constructing a general theory of complexity. The pressure is enormous. In the twenty-first century, complexity is not a vague science buzzword any longer, but an equally pressing challenge for everything from the economy to cell biology. Yet, most earlier attempts to construct a theory of complexity have overlooked the deep link between it and networks. In most systems, complexity starts where networks turn nontrivial. No matter how puzzled we are by the behavior of an electron or an atom, we rarely call it complex, as quantum mechanics offers us the tools to describe them with remarkable accuracy. The demystification of crystals-highly regular networks of atoms and molecules-is one of the major success stories of twentieth-century physics, resulting in the development of the transistor and the discovery of superconductivity. Yet, we continue to struggle with systems for which the interaction map between the components is less ordered and rigid, hoping to give self-organization a chance."

- Albert-László Barabási (1967 - )
Linked: How Everything Is Connected to Everything Else

Distorted Reality

"Other big questions tackled by ancient cultures are at least as radical. What is real? Is there more to reality than meets the eye? Yes! was Plato's answer over two millennia ago. In his famous cave analogy, he likened us to people who'd lived their entire lives shacked in a a cave, facing a blank wall, watching the shadows cast by things passing behind them, and eventually coming to mistakenly believe that these shadows were the full reality. Plato argued that what we humans call our everyday reality is similarly just a limited and distorted representation of the true reality, and that we must free ourselves from our mental shackles to comprehending it."

- Max Tegmark (1967 - )

Our Mathematical Universe

Dreaming and Seeing

"The diagram in the ashes had two epicenters; one he called “reason,” the other, “will.” “Reason” was interconnected directly with a point he called “talking.” Through “talking,” “reason” was indirectly connected to three other points, “feeling,” “dreaming,” and “seeing.” The other epicenter, “will,” was directly connected to “feeling,” “dreaming,” and “seeing”; but only indirectly to “reason” and “talking.” I remarked that the diagram was different from the one I had recorded years before. “The outer form is of no importance,” he said. “These points represent a human being and can be drawn in any way you want.” “Do they represent the body of a human being?” I asked. “Don’t call it the body” he said. “These are eight points on the fibers of a luminous being. A sorcerer says, as you can see in the diagram, that a human being is, first of all, will, because will is directly connected to three points, feeling, dreaming, and seeing; then next, a human being is reason. This is properly a center that is smaller than will; it is connected only with talking.” “What are the other two points, don Juan?” He looked at me and smiled."

- Carlos Castaneda (1925 - 1998)
Tales of Power

Abstract Forms

“And what is it that experiences our self? Only our self! There is only one substance in experience and it is pervaded by and made out of knowing or awareness. In the classical language of non-duality this is sometimes expressed in phrases such as, ‘Awareness only knows itself’, but this may seem abstract. It is simply an attempt to describe the seamless intimacy of experience in which there is no room for a self, object, other or world; no room to step back from experience and find it happy or unhappy, right or wrong, good or bad; no time in which to step out of the now into an imaginary past or into a future in which we may become, evolve or progress; no possibility of stepping out of the intimacy of love into relationship with an other; no possibility of knowing anything other than knowing, of being anything other than being, of loving anything other than loving; no possibility of a thought arising which would attempt to frame the intimacy of experience in the abstract forms of the mind; no possibility for our self to become a self, a fragment, a part; no possibility for the world to jump outside and for the self to contract inside; no possibility for time, distance or space to appear."

- Rupert Spira (1960 - )
Presence: The Art of Peace and Happiness

Unified Theory

"The mind calls out for a third theory to unify all of physics, and for a simple reason. Nature is in an obvious sense "unified." The universe we find ourselves in is interconnected, in that everything interacts with everything else. There is no way we can have two theories of nature covering different phenomena, as if one had nothing to do with the other. Any claim for a final theory must be a complete theory of nature. It must encompass all we know. Physics has survived a long time without that unified theory. The reason is that, as far as experiment is concerned, we have been able to divide the world into two realms. In the atomic realm, where quantum physics reigns, we can usually ignore gravity. We can treat space and time much as Newton did-as an unchanging background. The other realm is that of gravitation and cosmology. In that world, we can often ignore quantum phenomena. But this cannot be anything other than a temporary, provisional solution. To go beyond it is the first great unsolved problem in theoretical physics."

- Lee Smolin (1955 - )
 The Trouble with Physics

Holiness of the Mountain

"Phædrus wrote a letter from India about a pilgrimage to holy Mount Kailas, the source of the Ganges and the abode of Shiva, high in the Himalayas, in the company of a holy man and his adherents.

He never reached the mountain. After the third day he gave up, exhausted, and the pilgrimage went on without him. He said he had the physical strength but that physical strength wasn’t enough. He had the intellectual motivation but that wasn’t enough either. He didn’t think he had been arrogant but thought that he was undertaking the pilgrimage to broaden his experience, to gain understanding for himself. He was trying to use the mountain for his own purposes and the pilgrimage too. He regarded himself as the fixed entity, not the pilgrimage or the mountain, and thus wasn’t ready for it. He speculated that the other pilgrims, the ones who reached the mountain, probably sensed the holiness of the mountain so intensely that each footstep was an act of devotion, an act of submission to this holiness. The holiness of the mountain infused into their own spirits enabled them to endure far more than anything he, with his greater physical strength, could take."

- Robert M. Pirsig (1928 - )

Zen and the Art of Motorcycle Maintenance

Star-Stuff

"The cosmos is full beyond measure of elegant truths; of exquisite interrelationships; of the awesome machinery of nature. The surface of the Earth is the shore of the cosmic ocean. On this shore we've learned most of what we know. Recently we've waded a little way out, maybe ankle deep, and the water seems inviting. Some part of our being knows this is where we came from. We long to return. And we can. Because the cosmos is also within us. We're made of star-stuff. We are a way for the cosmos to know itself."

- Carl Sagan (1934 - 1996)

Postscript. For those of you wondering what this is "actually" an image of, it is a tight crop - about 1 cm square - of a mildly edited (i.e., basic luminance adjustment, white balance, noise removal, and selective contrast and sharpening) image of an onyx marble stone drink coaster I sometimes use to rest a cup of coffee on while working. Perchance, I happened to catch a glimpse of this phantasmagoric, dreamlike vortex swirling atop a Himalayan mountaintop! I never cease to marvel at the beauty that literally surrounds us throughout our lives; nor at the timeless wisdom contained within the Emerald Tablet of Hermes Trismegistus (purportedly, since no one has actually seen the original tablet):

"As above;
so below.
As within;
so without.
As with the universe;
so with the soul."