30 Years Later

I believe two major events contributed to my life-long interest in science and trying to understand the world around me. The first event was my initial glimpse of Saturn through a telescope, and the second event was the day Mt. St. Helens blew her top off. Both of these events took place during the phase when children ask too many questions, and witnessing these events turned my questions into quests. I still ask too many questions. My daily life is a quest to answer as many as I can. As for the rest: I explore the possibilities.

I remember the day as well as I remember yesterday, perhaps even better. On Sunday morning of May 18th, 1980, the world around me changed. Some heard an explosion like dynamite. Others heard a rumble. The echos of the news came to everyone. All eyes turned to the mountain. Her fury released in a blast sending ash rising into the sky. A question turned into a jingle echoed over and over again during the following months: “Where were you when the mountain blew?” I was having breakfast, but it was not long before the family piled into the car and sought out a viewpoint where we watched the world change. Over the next few years we visited bridges destroyed by mudslides and a land transformed. My first visit inside the blast zone was even more ominous and breathtaking.

Last year, I posted pictures of the blast zone showing the change. Here are two pictures from the same vantage.

1983 Photo by Jerry Shrock

2009 Photo by Jerry Shrock

Today, as I write this blog post, the mountain sits just beyond a ridge outside my window. I look at her as if all the answers to the mysteries of the universe might erupt from her top. Certainly not, but she holds some of them. And a fun place to start looking.

See National GeographicMountain Transformed.”

Visit Mt. St. Helens: Visitors Centers

How Fast Does Time Flow?

Part of the What Time? series, an exploration in science fiction.

Let’s assume time flows in one direction from past towards future. One common analogy is a river carrying the observer from birth to death. Events of life pass from future into the present before departing into the past. The river may seem to flow fast or slow, but we measure the passing of time with the constant beat of a clock. This is the popular view of time in western cultures.

If time flows then how fast does time flow?

Trying to answer the question with “one second per second” presents the problem. We can’t measure something relative to itself. If time flows (or moves) then what is time flowing relative to? What is the bank to the river of time?

Perhaps time doesn’t flow at all and it is the observer moving. What pulls the observer? How fast? This is the same analogy flipped, and doesn’t bring us any closer to answering the question.

In this view of time we divide time into parts: future, present, and past. Future events are undetermined, but predictable given enough information. The past is determined, fixed in place assuming our memories are accurate. Even if the river analogy isn’t a very good one, we are still faced with the question: how fast do these future events arrive? What sort of experiment could we perform that measures time or even shows that time moves at all?

A Logic Problem

Let’s try another approach. Divide time into two segments: the future and the past divided by a line of the present. Choose three events from our observer’s life: college graduation, tenth birthday party, and wedding day. We may mark these events by season, celestial position, or calendar dates. We may find the time of day the bride and groom, holding knife hand-in-hand, slice into the wedding cake. Each event resides at specific places corresponding with other events and never move, assuming we have perfect memory. Given the present resides within the observer’s fifteenth year then wedding day and college graduation are in the future while tenth birthday party is in the past. With the present at age forty-six all three events are in the past.

If past and future are physical parts of space-time then how can these events exist in two places? How can wedding day be in the future and the past. The events never move. They are always in the same position relative to everything else. How do we decide wedding day is in the future and change our minds placing it in the past? What changed? Time, you say?

At any event we always have the same sensation of time flowing. The difference is our memories. Time never changes. Our memories change.

As outside, independent observers how would we label the events? Without being given the “present” we cannot label the events. Since events cannot exist in two places, we cannot place events into future or past.

Does time flow at all?

Learn More

What Time? series posts on the 2nd and 4th Tuesday of the month.

Twins Paradox

Part of the What Time? series, an exploration in science fiction.

The Twins Paradox is less of a paradox and more of a time puzzle originally stated by Einstein.

Puzzling Twins

Alice and Angela are identical twins born seconds apart on a shiny afternoon. Growing up, they do everything together including dressing alike. Their mother insists they wear different colored bows in their hair, Alice in a red bow and Angela in pink. Teachers and some of their friends depend on the bows for identification, but their closest friends can tell them apart most of the time. Sometimes they like switching bows and pretending to be the other, especially when taking exams. Angela is the whiz at math.

At the age of seventeen years, Angela announces she intends on traveling to nearby Barnard’s Star as part of her astronomy studies. The university has limited room and cannot include another member on the field trip spanning several years. Although the ship can accelerate to near the speed of light, it must spend several years at the constant velocity before decelerating at the destination where the team will spend two years observing. Alice argues that it would tear them apart taking such a long trip. How could they live without each other? Alice tries and tries, but Angela has made up her mind. Alice waves goodbye to her sister and watches the craft depart the space station.

Thirty-nine years later, red bow long lost, Alice takes her two grown children to meet her sister at the space station. Angela steps off the spacecraft wearing the pink bow in her hair. Angela appears younger than Alice’s own children. Angela insists she has only been away for twelve years, not thirty-nine, and she argues with her much older twin.

What happened?

Short Answer

Angela’s trip experiences a time-dilation effect. From my “Quick, Dirty Relativity Review,” we know that time is relative to the observer verified using highly accurate clocks. One consequence is that observers moving at significantly different rates will appear to age differently. Both twins age normally and experience the normal passing of time. Since both twins move at significantly different rates, their frames of time relative to each other differ. Time is relative to the observer.

If motion is relative than why isn’t the time-dilation effect relative?

The Paradox

From Alice’s frame of reference, Angela is moving and her time appears slowed by time dilation. From Angela’s frame of reference, Alice is the one moving. (Recall that a reference frame tells us that science experiments gives the same results in uniform motion as if we were sitting still. This doesn’t apply to accelerating objects.) Why isn’t time-dilation effect relative? The answer is the accelerating part of the trip. Einstein brought up this twins puzzle pointing out it isn’t really a paradox. Acceleration isn’t relative.

Math

Assuming the space craft can accelerate without squishing the passengers to death, let’s try using numbers to see how this works. Angela spent three years at Barnard’s Star, the same in Alice’s reference since Barnard’s Star system and Earth are nearly relative to each other in motion. Travel time for Angela is nine years (four and half each way) while the trip from Alice’s reference is thirty-six years (thirty-nine minus three.) Disregarding time for acceleration, we can use the following formula to find out how fast Angela’s ship travels where td is time dilation and v/c is percentage speed of light:

The time dilation (td) from Angela to Alice is 9 / 36 or 0.25. This gives us a velocity of 0.9825% speed of light. Mighty fast! Getting up to that speed safely would actually take a long time without some kind of anti-squishing technology!

Quick, Dirty Relativity Review

Part of the What Time? series, an exploration in science fiction.

Relativity

Size is relative. Speed is relative. In my story, “Dunston Monster,” some of the characters refer to Sebastian as a giant while others just think he’s very big. Comparing to a tree, Sebastian is short. Scientist measure everything relative to something. A car travels 70 km in an hour (70 km/h or average 1200 m/s.)

Relative Measurement

  • Distance measured relative to a standard such as a meter (m.)
  • Velocity measured relative to distance per time standard: m/s.
  • Acceleration measured relative to m/s/s or m/s2

A train travels 40 km/h and Jason walks in the aisle towards the front of the train. Of course, we assume the train travels 40 km/h relative to the ground. If Jason walks at 4 km/h relative to the train, then Jason moves at 44 km/h relative to the ground. Simple, right?

Theory of Relativity

Actually, two theories, Special and General. We will deal with the Special Theory of Relativity by Einstein which generalizes Galileo’s relativity principal stating that the laws of physics are the same in all inertial frames of reference.

Brief History Lesson

Scientists wanted to know how fast light travels. The problem: relative to what? Earth zips around the sun, and the sun speeds through the universe. Someone suggested a solution: measure light from a star in the same direction as Earth travels then in the opposing direction. Much like Jason on the train, some arithmetic should leave us the answer of light traveling relative to some “ether.”

It didn’t work out. In every direction scientists measured the same velocity of light coming from distant stars. Scientists scratched their heads.

Einstein suggested a logical conclusion: time is relative to the observer. No matter how the observer travels, the observer will always measure the same speed of light.

Proof of Time Relativity

Using atomic clocks, scientists have compared measurements between an observer on the ground and an observer traveling around the globe on the airplane. The clocks disagreed. The larger the difference in motion, the more the clocks disagree.

Time is Relative

Space-Time Light Cone

In our exploration of time, we should keep this mind. Time is relative to the observer. Standing on Earth, we may safely assume our observations are the same. Even traveling in airplanes, the differences are so tiny that we’ll never notice. Traveling in spaceships is a different story.

Now we may interpret time as a 4th dimension to our spatial dimensions. Since imagining four dimensions is a challenge, we can draw a diagram using only one of the spatial dimensions on one access and time on the other. Apply it to the other two spatial dimensions. We end up with a light cone defining future, past, and elsewhere.

We can’t reach elsewhere using normal traveling means. Why? The Theory of Relativity gives us the equation, E = mc2 where E is energy, m is mass, and c is the speed of light. The problem is accelerating mass to the speed of light requires infinite energy. Our future travelers will need to find another way to reach elsewhere, or be patient and reach

Light Cone for Mars and Earth

the same spatial location inside the future cone.

What happens now? Let’s say a robot on Mars breaks and sends a distress signal. Now for the robot is different than now for the observers on Earth. Seen in the diagram, the observers on Earth don’t find out about the problem until 20 minutes later relative to the robot. The present is relative.

Fun Time Facts

  • Light from the sun takes about 8 minutes to reach Earth.
  • Light from the next closest star takes 4 years.
  • Chatting with an astronaut in Saturn orbit requires over 2 hours to hear the reply.

Considerations in Sci-Fi Writing

  • Can’t describe spaceship accelerating beyond light speed.
  • Faster than light (FTL) travel is impossible for mass. Find other way.
  • What would warp-speed (or sub-warp) look like?
  • Traveler in other star system can’t use the radio to communicate with Earth.

Learn More

What Time? series posts every 2nd and 4th Tuesday of the month.

Newtonian Time

Part of the What Time? series, an exploration in science fiction.

Let us generalize a moment.

The Background

In the 17th century industrialization sprouted leading to 19th century railroad domination linking commerce across the map. Scheduling trains increased the need for time zones. Higher precision clocks allowed ships improved navigation across the sea. Clocks became important including today as we schedule our every minute.

Before the machinery took over, physicist Isaac Newton introduced the Laws of Motion. According to our science definitions, “laws” explain observations without understanding why. Every action has an equal and opposite reaction. An object in motion stays in motion until an outside force acts upon it. The Law of Gravity predicted planetary positions and falling objects. These beautiful laws allowed us to build wonderful things. It also gave us a sense of precision and logic.

The Stage

Newtonian physics (classical,) became common sense. (Not for everyone, some students still get confused.) Newton’s math and physics allows us to predict the future, where a cannon ball will land, planetary positions, or the moon phase on a given date. Recording the past to help predict the future entrenched us in the idea that the past is set and the future is uncertain, but predictable with enough data (from the past.) Law-like principles ruled.

With increased precision, more trains, clocks ticking away in (near) synchronous, the drum beat of time hardened “common sense” time into our lives.

Tick-tock, tick-tock.

“Common Sense” Time

I call this, Newtonian Time. It isn’t Newton’s fault. I don’t blame him. For Westerners, the roots of “common sense” time was already there. I call it Newtonian Time because it fits with Newtonian Physics, or classical physics.

Time is an assumption, and in this perception, time passes at a constant beat.

Tick-tock, tick-tock, tick-tock.

All of classical physics depends on this constant beat along with the assumption that the past is unchangeable and the future is predictable. This leads to the impression of time’s arrow. We feel pulled down the river of our lives unable to escape the flow or stop the beating drum, like our hearts, pounding away until the end.

Under this perception of time we assume time is the same for everyone.

Even in Newton’s day, scientists noticed problems. One glaring puzzle keeping astronomers curious for years: the planet Mercury refused prediction under classical physics. That is another story: Relativity.

Learn More

  • About Time by Paul Davies, “Chapter 1: A Very Brief History of Time”
What Time? series posts on 2nd and 4th Tuesday of the month.

What Time? Series Introduction

Time is the great assumption in science, a mystery. There is no scientific definition or accepted theory. Time has been the subject of philosophical debate for millennia, and all we have are vague notions, psychological feelings, stories, and an assumption about the passing seconds. And time is so much fun for fiction.

What is time?

This series will explore the science of time in fiction including the Draco Torre stories and popular titles. The purpose is not to master physics, but to explore concepts within science fiction. Posts will be reasonably basic and include references to more detailed sources. Some of the topics we will explore:

  • paradoxes
  • time experiments
  • time travel
  • memory
  • perceptions of time
  • novels

Your comments are welcome in each discussion including sharing your favorite novels, topic requests, and thoughts on the current topic.

Contents

What Time? series is on a break until Fall 2010.

Science Definition

These are foundational definitions for understanding science and science fiction stated here for the non-scientist. The most important concept here is that science theories are not facts.

Science

Science tries to explain the world around us in a way that we can understand. This applies primarily to phenomenon we observe indirectly like earthquakes and micro-organisms. We feel the earth quake, but we can’t directly observe the cause. Micro-organisms require instruments to observe.

Fact

A fact is an agreed upon definition, a recordable measurement, or a basic observation of our world. The definition of meter is a fact. The elevation of Mt. Everest is a fact.

Law

A scientific law generalizes observations to make predictions without explaining why. Newton’s Law of Gravity predicts falling objects and planetary motion, but does not tell us why.

Hypotheses

Like a guess. A scientist makes a guess based on observations before writing a theory.

Theory

A scientific theory is like a story trying to explain the observable science. A theory explains why. This story must include verifiable predictions. After predictions hold true, the theory is accepted. It’s still not a fact. Theories change as more knowledge accumulates.

Reality

We observe real things directly or indirectly using our senses. We feel earthquakes indirectly through direct shaking. We see galaxies indirectly using a telescope. This means that before telescopes, galaxies weren’t real. Long ago micro-organisms weren’t part of our reality.

One may argue micro-organisms and galaxies were always there. Sorry, they weren’t real then. This is the definition intended in posts on this blog.

Science Fiction

Science is crucial to the plot of a science fiction story. The science may be nearly fantastical, loosely implied, but it should be based on science and important to the story.

Simply including spaceships does not make it science fiction.

Star Wars is a fantasy or space opera. Some include space opera and other sub-categories under the sci-fi genre, but may also fall within the realm of fantasy, depending on how you look at it.

Here at DracoTorre.com, science fiction must include science as part of the plot. Otherwise, we may call it fantasy even if the fantasy contains science, which we could call science-fantasy.

Learn more: Pandora’s Hope: Essays on the Realities of Science Studies by Bruno Latour.

How-To: Make a 3D Photo

Magenta/Green 3D Chess Photo

Magenta/Green 3D Chess Photo

Red/Cyan 3D Bike Photo

Red/Cyan 3D Bike Photo

Use Magenta/Green 3D glasses to view the chess photograph or Red/Cyan 3D glasses to view the bike photograph. Click on an image for a larger view. 3D quality depends on your monitor’s color settings. The chess photo ghosts a little on my Macbook screen, but appears perfect on an external LCD.

Items list

1. Digital camera
2. Tripod for digital camera
3. Photo software supporting layers such as Photoshop or Gimp
4. An interesting subject for 3D
5. Red/Cyan or Green/Magenta 3D glasses.

You can find 3D glasses with home movies such as Coraline, with activity books for children, or make your own by purchasing supplies at an art store. Gimp is available for free, which the instructions here will follow. Software that tries to do the modifications for you exist, but doing it yourself allows greater control over the results.

The Science: How do 3D glasses work?

Each lens has different complimentary colors acting as a filter for each eye. Colors are complimentary when the combined color is neutral such as red and cyan. Two photos taken from slightly different vantage points (like your eyes) aimed at the same point are colorized opposite of the respective colored lens. For example, my green/magenta glasses has green over the left eye so the photo taken on the right side needs to be colorized green. The green lens filters out the green portions of the image so the left eye does not see the right vantage point. You could also put the two photos side-by-side, left image on the right, and cross your eyes. The 3D glasses make it easier looking at a single combined image. Other 3D glasses technology includes shutter glasses viewing flashing images and scanning glasses for viewing images stacked in narrow lines. All work on the same principle, one lens blocks what the other eye should see. The rest is depth perception.

Step 1: Take two photographs

Mount the camera on the tripod and take a picture of your immobile subject. If outside, make sure the wind is not blowing the leaves around. Keep track of the position and the aim using the lens guides. If your lens has a center marker, note its exact position. When planning the shot, you might choose to aim at some distinguishing mark on your subject. In the chess image, I aimed my center mark at the groove in the dark knight at the center. Note this photograph as the right image (or left if you find it easier to move right.)

The distance you move the camera depends on how far away your subject is and the size of your lens. Move too much and the subject may pop out, the subject appears nearly 2D floating above a 2D background, or the image may become disorienting. For my chess picture, I used an 18-55mm lens positioned about four feet away, and I moved the camera about a half of an inch. For the bicycle, positioned thirty feet away, I moved two inches. The bicycle appears to pop out a little, so a smaller distance might have been better. Move the camera, perpendicular to the subject, and aim for the same position on your subject. Take the photograph and note it is the opposite eye to the first.

Step 2: Load the two pictures into photo editing software

Load both photographs. Select the entire image of one photograph, copy, and paste into a new layer in the other image. Label the layers according to the eye (left or right.)

Step 3: Modify the images

The goal is to colorize each image the opposite of your lenses. For Green/Magenta 3D glasses with green over the left eye, colorize the right image green by editing the color balance for all ranges (shadows, mid-tones, highlights.) There are two methods to colorize, one by adjusting the color balance and the other by editing the color channels. Try both and see which works best.

Colorize by adjusting color blance: In Gimp, find the color balance window under Colors on the menubar. Uncheck Preserve Luminosity checkbox. Move the Magenta-Green slider all the way to the Green for each of the three ranges. Do the same process to the image labeled, right, but move the slider all the way to the magenta. You should have two images appearing similar to the green and magenta images in the layers image below.

Colorize by editing color channels: Some software forces global color channels for all layers requiring a screenshot and paste into a new project file. Software that allows independent layer channel editing allows edits within a single file.

Layers Panel in Gimp

Layers Panel in Gimp

For Red/Cyan glasses, turn off the blue and green channels for the red image and turn off only the red channel for the cyan image. Take screenshots of each and paste into layers of a new image.

Now adjust the opacity of the top layer to 50%. This allows you to see through to the lower image. In Gimp, find the opacity slider control in the Layers window as seen in the screenshot at right. For brighter results, you may adjust both layers to 50% with a white background. Notice the colors of the individual layers. Try looking at the layers panel with your 3D glasses, closing one eye at a time. The green image should be nearly invisible peering through the green lens and closer to normal color peering through the magenta lens.

If you see ghosting, you may need to adjust the colors. Try both colorizing methods to see which works best for you.

Step 4: Save output

You may want to save the project in the default format for editing. Try your 3D glasses to find any problems. To share with others on the web, export the picture to JPG keeping the quality as high as possible. Too low quality (too much compression) will degrade the 3D appearance. For an uncompressed image, save in TGA format.

Put on your 3D glasses and enjoy. Share your 3D images on Flickr, Twitpic, or on your own page. And tell us where to find your creations in the comments.