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The aim of physics is to understand the world we live in. Given its myriad of objects and phenomena, understanding means to see connections and relations between what may seem unrelated and very different. Thus, a falling apple and the Moon in its orbit around the Earth. In this way, many things “fall into place” in terms of a few basic ideas, principles (laws of physics) and patterns.
As with many an intellectual activity, recognizing patterns and analogies, and metaphorical thinking are essential also in physics. James Clerk Maxwell, one of the greatest physicists, put it thus: “In a pun, two truths lie hid under one expression. In an analogy, one truth is discovered under two expressions.”
Indeed, physics employs many metaphors, from a pendulum’s swing and a coin’s two-sidedness, examples already familiar in everyday language, to some new to itself. Even the familiar ones acquire additional richness through the many physical systems to which they are applied. In this, physics uses the language of mathematics, itself a study of patterns, but with a rigor and logic not present in everyday languages and a universality that stretches across lands and peoples.
Rigor is essential because analogies can also mislead, be false or fruitless. In physics, there is an essential tension between the analogies and patterns we draw, which we must, and subjecting them to rigorous tests. The rigor of mathematics is invaluable but, more importantly, we must look to Nature as the final arbiter of truth. Our conclusions need to fit observation and experiment. Physics is ultimately an experimental subject.
Physics is not just mathematics, leave alone as some would have it, that the natural world itself is nothing but mathematics. Indeed, five centuries of physics are replete with instances of the same mathematics describing a variety of different physical phenomena. Electromagnetic and sound waves share much in common but are not the same thing, indeed are fundamentally different in many respects. Nor are quantum wave solutions of the Schroedinger equation the same even if both involve the same Laplacian operator.
Advanced Theoretical Physics by Marvin (PA). CC-BY-NC-2.0 via mscolly Flickr.
Along with seeing connections between seemingly different phenomena, physics sees the same thing from different points of view. Already true in classical physics, quantum physics made it even more so. For Newton, or in the later Lagrangian and Hamiltonian formulations that physicists use, positions and velocities (or momenta) of the particles involved are given at some initial instant and the aim of physics is to describe the state at a later instant. But, with quantum physics (the uncertainty principle) forbidding simultaneous specification of position and momentum, the very meaning of the state of a physical system had to change. A choice has to be made to describe the state either in terms of positions or momenta.
Physicists use the word “representation” to describe these alternatives that are like languages in everyday parlance. Just as with languages, where one needs some language (with all equivalent) not only to communicate with others but even in one’s own thinking, so also in physics. One can use the “position representation” or the “momentum representation” (or even some other), each capable of giving a complete description of the physical system. The underlying reality itself, and most physicists believe that there is one, lies in none of these representations, indeed residing in a complex space in the mathematical sense of complex versus real numbers. The state of a system in quantum physics is in such a complex “wave function”, which can be thought of either in position or momentum space.
Either way, the wave function is not directly accessible to us. We have no wave function meters. Since, by definition, anything that is observed by our experimental apparatus and readings on real dials, is real, these outcomes access the underlying reality in what we call the “classical limit”. In particular, the step into real quantities involves a squared modulus of the complex wave functions, many of the phases of these complex functions getting averaged (blurred) out. Many so-called mysteries of quantum physics can be laid at this door. It is as if a literary text in its ur-language is inaccessible, available to us only in one or another translation.
What we understand by a particle such as an electron, defined as a certain lump of mass, charge, and spin angular momentum and recognized as such by our electron detectors is not how it is for the underlying reality. Our best current understanding in terms of quantum field theory is that there is a complex electron field (as there is for a proton or any other entity), a unit of its excitation realized as an electron in the detector. The field itself exists over all space and time, these being “mere” markers or parameters for describing the field function and not locations where the electron is at an instant as had been understood ever since Newton.
Along with the electron, nearly all the elementary particles that make up our Universe manifest as particles in the classical limit. Only two, electrically neutral, zero mass bosons (a term used for particles with integer values of spin angular momentum in terms of the fundamental quantum called Planck’s constant) that describe electromagnetism and gravitation are realized as classical electric and magnetic or gravitational fields. The very words particle and wave, as with position and momentum, are meaningful only in the classical limit. The underlying reality itself is indifferent to them even though, as with languages, we have to grasp it in terms of one or the other representation and in this classical limit.
The history of physics may be seen as progressively separating what are incidental markers or parameters used for keeping track through various representations from what is essential to the physics itself. Some of this is immediate; others require more sophisticated understanding that may seem at odds with (classical) common sense and experience. As long as that is kept clearly in mind, many mysteries and paradoxes are dispelled, seen as artifacts of our pushing our models and language too far and “identifying” them with the underlying reality, one in principle out of reach. We hope our models and pictures get progressively better, approaching that underlying reality as an asymptote, but they will never become one with it.
Headline Image credit: Milky Way Rising over Hilo by Bill Shupp. CC-BY-2.0 via shupp Flickr
I'm on a special holiday in Turkey, celebrating my father's 80th birthday, in the beautiful city of Istanbul. Walking down the wide avenues and into history, one of the first things I noticed of course (once I'd recovered from the overwhelming gloriousness of it all) was the ornamentation - patterns galore everywhere I looked; and colour, decorative ornamentation, flowers ... patterns patterns patterns.
I've only managed to post a few of my photographic captures here, hoping that they'll inspire you as well ... my creative soul is dancing with delight in this country. I shall have to visit again one day, for longer than one too-short week.
I've barely had time to breathe never mind draw anything, but have tons of ideas to work on once when I get back on Monday. I'll be posting pics of the city itself as well soon, and more ... meanwhile, you'll have to forgive me if things are a bit erratic in here for ... well, for a while yet.
Wishing you a glorious week. Cheers from Istanbul.
Title: Slithery Snakes Story and art by Roxie Munro Published by Amazon Publishing, 2013 Ages: 7-11 Themes: snakes, habitats, skin patterns Nonfiction, 40 pages. Available in hard back and eBook formats. Opening Lines: Can you guess what kind of snake this is? … Continue reading →
Here's a spot from High Five Magazine. You can tell a lot about a character from the patterns they wear. I dare say, this girl is pretty sure of herself.
I have to say I love patterns, so when asked to do a halloween illustration, all I could think about was the scenario and patterns. So here is my offering, the ghosts are friendly and handing out treats to the little treat or treaters. With patterns...
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I've tucked away the porcelain creamer, little orange flowers and cascading drapery, replacing the objects with photo references for a project I'm really excited about doing. The inspiration was a photograph of my oldest daughter taken about a year ago at El Capitan State Beach. However, I'm changing the location from a rocky beach to a rocky riverbed with some trees in the background.
I'm looking forward to playing with some colors that have not been on the palette for other projects - mainly Phthalo blue and green. I'm also excited about exploring colors and patterns of stones in water - I've always been drawn to that in nature. But, most of all, I'm delighted to be working with a specific concept - trying to capture the moment of quiet contemplation or listening in prayer.
I have flashes of what I think the end product might look like, but I've learned not to get hung up in those fleeting visions. They give me a direction, but the journey will likely take me down any number of possible paths. But, this is merely a study for the sake of exploration. Ultimately, I see this as a fairly large painting - large for my space, anyway, requiring more than a little tabletop. By the time I'm ready to move on to canvas, the weather should be comfortable enough to work in the garage again.
0 Comments on On Deck... as of 2/15/2013 7:49:00 PM
More creative exercises to play with. This time I picked up my black pen and scribbled unplanned 'marks' on a page, then decided they somewhat resembled leaves and so drew a whole lot of those, spacing them out in a grid. After which I sketched out their outlines, and finally, still exploring and playing (couldn't stop myself!), I added colour.
The original marks were made on paper but I scanned that and the outlines were worked on in Photoshop. I filled the colour in with marker pens on paper as well, and that too was then scanned in and finished up in Adobe Photoshop. Had tons of fun.
Now I just have to figure out what my next step might be ... Cheers!
Spotty, Stripey, Swirly is one of the newest additions to author Jane Brocket’s Clever Concepts line of non-fiction picture books. Like her other books, this one is not traditionally illustrated but is filled with photos that Brocket has taken herself. As you can tell from the title Spotty, Stripey, Swirly is about finding and recognizing patterns all around us.
Stripes, dots, zig zags, and circles abound, punctuated by Brocket’s signature style of bright, colorful photographs. Using eye catching photos, Brocket teaches children what a pattern is and how to recognize them. She urges them to find patterns in everyday objects. From simple to complex, patterns are everywhere if you just know where to look. This would be a nice addition to a very young child’s library.
say "twee"!
0 Comments on Spotty, Stripy, Swirly - Review as of 5/16/2012 1:23:00 AM
A to Z Challenge Day 14: N Netgalley is a blogger’s dream. Whether you are beginning, or just cannot get the books you need to review, NetGalley is the best place to join. Anyone who runs a book review site, any genre or age group, will find the books they need. Netgalley and Lerner Publishing [...]
4 Stars Dotty, stripy, straight, and swirly—patterns are all around us. How many different patterns can you find pictured in this book? Wow! For younger children this is a challenge right out of Where’s Waldo? I am still counting as I write this. Wow! Flowers, furniture, toys, sidewalks, anything you might see all have patterns. [...]
Dutch illustrator/animator Gerben Steenks shows off some serious abstract/pattern-making skills. Gerben also works for Disney Consumer Products, bringing his mad vision to the House of Mouse:
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Dutch illustrator/animator Gerben Steenks shows... as of 1/1/1900
Ahhhh....I was not the ONLY ONE to succumb to that paper! ;) And I do love it for all the variety of uses it has. Mr. Acrobat is looking sharp in his harlequin gear! Love it!
My first blog visit after 9 days....... What an exquisite illo !!! Wow!!! This is a new one and so gorgeous! You have been on our minds . I have read your mails and will mail you soon!!! I have missed blogging and you!!!! But I am back!
With ease indeed. Great stuff!!! Thank you kindly for your support and lovely comment my friend. I will continue to draw until I can possibly work as an artist. Chris
Native American proverbs resonate deeply with me so I looked a few up and chose this one.
"Do not judge your neighbor until you walk two moons in his moccasins." (Cheyenne)
I have been (gratefully) busy painting commissions and working on items for shows and galleries but today, just today I had to pull back and do something that called to me, like this word.
Some of you wanted to know my process when I paint on patterned paper. It's pretty simple, really. I draw the image and then lay the flat colors on with acrylic paint.
But then MAGIC happens (I swear) when you add Prismacolor pencils on top of the paint. It becomes so rich, almost pastel-like and I have never been able to do anything with pastels. After adding the colors I use a blending pencil to smooth it all together. I usually go back several times adding highlights and lowlights, crisping up my edges, etc.
Here's a scan of one moon and one moccasin done while the other is still flat paint waiting for details.
Okay, I started adding colored pencil inside the moccasin before I realized I hadn't scanned it! And trust me, I see so much wrong with this illustration now that it's posted. But I'm not going there. Today is a day I needed emotionally and creatively.
So I'll leave you with this gem that I saw on my doctor's office bulletin board.
27 Comments on Illustration Friday : Proverb, last added: 9/14/2010
i have this exact saying up on my wall in a much tattered old postcard, one of my favourite sayings. am taking a bloggy break as you know, so lotsa hugs for now. later gater.
wonderful piece...and I love the WIP view. Our leaves haven't started turning yet...there has only been a slight nip in the air. Glad to see you are busy and doing well in RI. :)
Dear Lo! Lovely image and proverb! So nice of you to show the stages. Felix would say: it looks simple but it is not...... I am in BKK with Marja after a long flight a short nap and a night at Lumpini market I am close to brake down....... so tired but so is Marja so we will go to sleep soon :) Just back and spending a moment in the crewroom at the internet.
Sending you love and hugs from BKK!!!!! Hugs from Marja! ♥♥♥ >M<
This is simply beautiful, lolo! You have given your painting a mysterious, spiritual look which goes so well with the proverb. I will "talk" with my Native lady and show her the moccasins and the moons...she will love this one!
Nice job! I often think about that saying when I'm down or when I see someone else who is. I sometimes do Prismacolors over watercolor, but over acrylic? Doesn't the acrylic's plastic, smooth surface prevent a good grip with the colored pencils? Or do you do something to them first?
wonderful! you are painting commissions! and for shows! brilliant! i am really so happy for you, i wish i could visit them personally. perhaps you should look into one of santa barbaras many art gallerys??
i love your painting SO MUCH. i love everything native american and have a special connection since my grandfather was part navajo. this painting is especially beautiful, maybe you'll add a print to your shop?
lollie!!!! these are gorgeous! the prismas really bring it to life as do all your wonderful ideas - the textures, the weaving. wonnnderful!!! thanks so much for the visit, too! hope you are very well! :)))
I love the proverb, the painting and the explanation. So happy that you are busy doing commissions. Only one problem for me, I don't know what patterned paper is. Is it a special kind of pastel/acrylic/paint paper or is it more like scrapbook paper that is often patterned?
I am a little late. Is's been a rough week. Lo, I thought this was a photo at first. I swear to God. I love both quotes :-). I believe one should not judge at all, it never serves anyone. I hope all is well. xoxo
Hey Laurel! I love everything about this! Thanks for a peek into the creative process. did you come up with the colored pencil over acrylic idea? Very cool. The proverb it so "real". Nice! .. And not to mention your illustration... which by the way i see nothing wrong with ;o) You deserve a little LOLO time. Glad you took it and glad you shared. Hey thanks for stopping by. Love your visits. P.S. that doctors "proverb" was a riot. thanks for the laugh!
Some of you may remember when I tried my hand at making a mandala a couple of years back.
I did this one mostly with rubber stamps, embellished and circled with colored pencils. I really like how it turned out, so I started offering it as cards on Etsy.
Enter Spoonflower, a place where you can upload your designs to see how they'd look on fabric! I think Margaret told us about this before. :)
If you like how it came out and would like to offer it for sale on their site, you have to order this size piece first so you can approve how it looks. It's around $12.00
(This is terrible lighting, sorry.)
17 Comments on Blooming Tuesday: Fabrication, last added: 6/19/2010
Oh....My....God.... I cannot believe you gave me a link to a site that prints on FABRIC!!! Lolo, you EEEEEEEEVIL GIRL! :D I am going to have to check that out.....oh my oh my. And now that I have regained what few senses I have, I love the card....
The mandalas turned out great!!! Marianne will just love them!!! I must visit that site, Spoonflower! How awesome to be able to make a design into fabric!!!
It would be more than wonderful having you California ladies in our neck of the woods! What a wonderful gathering it would be! Suki and Mim don't live too far~we could on converge somewhere for a day of art and nature walks!
Beautiful soft colouring - and look how gorgeous it is as a fabric! I had recently heard about Spoonflower and have been meaning to give it a whirl, just haven't found the time yet. You've definitely inspired me!
The weathered bench is great. I'd love seeing that on my front porch.
Your six words are the same for people too. I love to see where age takes us when we approach it with health and dignity. Not so much though when it show a life in someway sadly abused.
Well, heck, I got my Saturday morning off to a serious start didn't I?
Perfect six words.... and, as already said, they apply to so many objects - inanimate and animate... it would be a better world if more "weathered things" were indeed treasured.
Wow beautiful pictures and 6 words! I will mail you soon. I have slept long did some work in the garden and now I will take a nap so I can get back in my schedule here.......
I had some fun with pattern making this morning and I wanted to share. The process is made easy in Painter. You just need something you love to start with. In this case I used an illustration that I had finished.
I selected parts of it to generate into a Kaleidoscopic image and then captured the image as a pattern. Here are the results and a small sample of what they look like as a pattern. The patterns can be adjusted to any size so they can be larger for more visual reference to the original picture or smaller for a design effect.
And this last one is my favorite. I think it would make a great TILE in kids bathroom. Not all the tiles, but just a few scattered here and there. Or maybe PJs with the child's initials in the blank spot or a different animal in the center of each square.
The center of this looks so much like a trampoline that I could even try putting one of the characters there being tossed up by the others. How much fun!
Oh my gosh Ginger..these are amazing! I also think your favorite is mine..wow..this is so impressive. You are always up to something new and inventive. Congrats on each of these. I also love the one with black, white and gold..gorgeous.
I had some fun with pattern making this morning and I wanted to share. The process is made easy in Painter. You just need something you love to start with. In this case I used an illustration that I had finished.
I selected parts of it to generate into a Kaleidoscopic image and then captured the image as a pattern. Here are the results and a small sample of what they look like as a pattern. The patterns can be adjusted to any size so they can be larger for more visual reference to the original picture or smaller for a design effect.
By: Amy Schimler,
on 2/10/2015
By: Clare Hanson,
on 11/12/2014
By: Paula,
on 6/19/2014
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By: JOANNA MARPLE,
on 4/11/2014
Burano Italy is one of my favorite places... full of color and patterns.
I have to say I love patterns, so when asked to do a halloween illustration, all I could think about was the scenario and patterns. So here is my offering, the ghosts are friendly and handing out treats to the little treat or treaters.
.jpg?picon=1621)
By: DIANE SMITH,
on 2/15/2013
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.jpeg?picon=3655)
By: alethea aka frootjoos,
on 5/15/2012
By: John,
on 7/5/2011
By: Laurel Gaylord,
on 9/17/2010
By: Ginger Nielson,
on 7/5/2010
Since this is a fantasty Queen or a Story Book Queen, nothing really needs to match. It just needs to be so much FUN!
By: Ginger*:),
on 3/5/2010
This is lovely and bright, a tonic against the grey weather we have today :)