I am a linguist who loves literature and who is fascinated by science. I quantify randomness. I paint. I travel in a power wheelchair, hoping to capture the ordinary.


Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Thursday, February 21, 2013

Setting our own conditions

Humans like categories. Structuralist thought, in which the world is divided into clear rules and sections, is to many a comforting idea. Newtonian physics, with its clear rules for the nature of physical reality, is equally appealing.

But what happens when Einstein comes along, and tells us that we can never see reality (which is out there) because it depends on our perspective? What happens when Proust shows us that time bends and stretches memory such that a taste of a madeleine opens up an entire lifetime, or when Monet shows us that our eyes take in the available light and make something fantastical?


What's more, what happens when Bohr and Schrödinger then come along and say that no such reality exists, that all is in flux, that the world is not just unknown but unknowable? The quantum world, our best understanding of "reality," is an open door. It is probabilistic, stochastic, our very own to perceive. We must make a choice, we must measure our world through our own experiences of it.




In Quirks of the Quantum, Coale describes the nature of the quantum realm and its implications for "reality":
"The quantum realm shivers and quivers in a state one might call an indeterminate pulsating flux or, as Amir D. Aczel describes it, 'the quantum fuzz' (251). For Brian Greene it's a 'fuzzy, amorphous, probabilistic mixture of all possibilities' (112). Within that realm, anything can happen, and we cannot predict how, when, why, and where things will occur. Particles/waves/fields/forces, all of which are essentially descriptions of the same quantum phenomena, since all modern elementary particle theories are relativistic quantum field theories, appear and disappear, each with its own description, each susceptible to imminent dissolution and transformation, created within what John Gribbin calls the 'holistic electromagnetic web' (Schrödinger's Kittens 226), in Kenneth Ford's continuous 'creation-annihilation dance' of 'perpetual motion' (242, 222) [...].
"In trying to describe this process, we come up against both the unknowable 'essence' of the quantum realm in all its quivering and erupting randomness as well as the metaphorical nature of language itself. When we choose to describe something as a particle, a wave, a field, a force, or a web, we necessarily exclude other possibilities and images. Similar to Bohr's notion of complementarity, if we describe something as a particle, we have chosen not to describe it as a wave. In language and logic, these appear to be mutually exclusive. In quantum theory, each is valid, depending on the nature of how we measure these glimpses and snapshots. Contradiction appears to be a product of choice and grammar, rather than of the actual quantum event, since in the quantum realm the images of particle and wave 'apply to mutually exclusive conditions; hence there is no contradiction between them' (Malin 161)."
It sounds like we can choose or own story, providing--at least to some extent--our own conditions. Atheism or faith, it seems to be argued in The Life of Pi, is a simple matter of making such a choice.



In another tale of learning how to set one's own conditions for survival while being tossed by the wind, Katherine Paterson writes in The Same Stuff As Stars:
"What is man—and of course the writer means all of us puny little insignificant creatures—what is a mere human being that God who made the immense universe should ever notice?' She chuckled. 'The sky does take you down to size.'
     'Not even big as bugs. Not even a speck of dust to the nearest star,' Angel agreed.
     'But the psalmist answers his own question. "Thou hast made him a little lower than the angels, and hast crowned him with glory and honor..."'
     'What?' Angel asked, not sure she had heard right.
     'A little lower than the angels, crowned with glory and honor.'
     'The real angels? Do you believe that?'
     'Yes, Angel, I do. When people look down on me, and these days'—she laughed shortly—'these days everyone over the age of five does. When people look down on me, I remember that God looks at this pitiful, twisted old thing that I have become and crowns me with glory.'"
The sky both takes us down to size, if you will, and pulls us together. Who would know this better than the astronauts? This video shows how seeing the earth for the first time changed several astronauts' view of our nature.


OVERVIEW from Planetary Collective on Vimeo.

If we are free enough to see how small we are and how grand, why choose to forget this? Every day, I hope we can remember to find the right conditions, so that our measurement of our lives will leave us content, and thirsty for more.

Thursday, June 7, 2012

Relating, refraction, and relationship

Ernst Haeckel. 1904. Kunstformen
der Natur, plate 51: Polycyttaria. 
Though my much-younger self would never had admitted to really loving anything having to do with math (though recently I have been accused of being "obsessed with numbers"), I have always loved fractals. I love them because they're pretty, sure. But I love them, honestly, for something else: they are heterogeneous and deeply connected. This is the kind of world I believe in.

In animal form, we see it clearly enough. A while back, the lovely blog subblue demonstrated the easy connection between biological forms, like this one from Heackel's early 20th-century depiction of art forms in nature, and mathematically enhanced images of biology, below.

Source: Artforms of nature
Not such a far cry from the mathematical:


So, what's so interesting? To me, refraction. The unity of what is not the same but is connected. It is like taking a step back from the universe, as if we could look from the outside. 

A tall steel cross is refracted in raindrops on a window in Joplin, Missouri, on May 7, 2012. The cross is all that was left standing of St. Mary's Catholic Church, which was destroyed by an EF-5 tornado that tore through a large swath of the city and killed 161 people nearly a year ago. (AP Photo/Charlie Riedel) (In Focus)
To simplify the idea, water drops offer another example. Does each cross, each flower know that it is not alone? Looking in, we certainly know.

macroreflection
Macroreflection by Harald Naper
How can we, in our separate notions of identity, see the refractions that surround us?

What do we see when we look into a friend's eyes? An other, a separate being? Yes, of course. And yet, we know this is not the whole story. This relation, this refraction of something else is there, and we relate. And if we allow ourselves to feel the density of connection, in space, in time, in the mere fact of living and the miracle of loving, in looking beyond our own small drop of water, there is healing in that.

Healers are those who can connect with others. Those who see themselves clearly enough to forgive themselves, and in this, judgment falls away. This is outlandishly idealistic, such clarity, such connection. But we have dreamt of it. And I would like to think that anything we can dream of in such a way must be at least to some extent represented by the truth of human experience. I turn to Zhaan of Farscape: anecdotal evidence that conscious connection can heal.



The possibility--indeed, necessity--of connectedness and relationship make sense from a scientific viewpoint as well. In his blog Frontal Cortex, Jonah Lehrer interviews the author of the book The Self Illusion, Bruce Hood. On the notion of self, Hood explains:

"...for most of us, we consider our self as some essential core of who we are. Most of us feel our self is at the center of our existence responding to everything around us – that notion of an integrated entity is what I am challenging, not the experience of self. Must of us, including myself have that experience but that does not make it real. For example, most us think that we see the world continuously throughout the waking day when in fact we only see a fraction of the world in front of us, and because the brain blanks out our visual experience every time we move our eyes in a process called saccadic suppression, we are effectively blind for at least 2 hrs of the day. This is why you cannot see your own eyes moving when you look in a mirror! So conscious experience is not a guarantee of what's really true."

Indeed, we form this experience of life in and through relationship:

"In the book, I argue that because we have evolved as social animals, those around us construct a large part of our mental life that we experience as our self. We can see the influence of others but often fail to recognize how we too are shaped. I am not denying the role of genes and temperaments that we inherit from our biology. After all, children raised in the same environment can end up very different but even these intrinsic properties of who we are play out in a social world which defines us. If you think about it, many of the ways we describe each other, such as helpful, kind, generous, mean, rude or selfish can only make sense in the context of others. So those around us largely define who we are. I hope this book will remind us of this obvious point that we so easily forget."

So today, I am thankful for our connections.