Category Archives: Physics
3D holograms! Me want!!
Last time I introduced you to the idea of a time-space diagram, which is a kind of map used to describe motion. As with many maps and diagrams, we choose to use a flat, two-dimensional representation. Someday hologram technology may advance to casual use of three-dimensional images, but so long as we use paper and display screens, we’re stuck with two.
Motion is movement in both space and time, so we want to use one of our two dimensions to represent time. That leaves us with only one remaining dimension for space, so our diagrams exist in a reduced one-dimensional world.
Today I’ll explore that world in more detail.
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7 Comments | tags: 1D, 2D, 3D, diagrams, dimensions, maps, motion, space, Special Relativity, time, time-space, time-space diagram | posted in Physics
Last week I introduced you to the idea of relative motion between frames of reference. We’ve explored this form of relativity scientifically since Galileo, and it bears his name: Galilean Relativity (or Invariance). Moving objects within a (relatively) moving frame move differently according to those outside that frame.
I also introduced you to the idea that light doesn’t follow that rule; that light moves the same way to all observers. This is what makes Special Relativity different. It turns out that, if a frame is (relatively) moving fast enough, some bizarre things happen.
Time-space diagrams will help us explore that.
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2 Comments | tags: 1D, 2D, 3D, diagrams, dimensions, Edwin Abbott, Emmy Noether, Flatland, maps, motion, Special Relativity, time, time-space, time-space diagram | posted in Physics
It’s Friday, and I’m sure you’re thinking about the weekend, so today will be just a review and some more details about the speed of light.
And speaking of light, today is the Vernal Equinox. For the next six months (for those of us in the northern hemisphere), our days will be longer than our nights. No doubt the combination of spring, the Equinox, and the weekend, have you wondering what you’re doing at your computer reading about Special Relativity.
I’ll try to be very brief…
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8 Comments | tags: Albert Einstein, equinox, Galilean invariance, Galileo Galilei, light, light speed, light year, moon, Special Relativity, spring equinox, Sun, vernal equinox | posted in Physics
Throwing like a girl!
I’ve introduced the idea of an inertial frame of reference. This is when we, and objects in our frame, are either standing still or moving with constant (straight-line) motion. In this situation, we can’t tell if we’re really moving or standing still relative to some other frame of reference. In fact, the question is meaningless.
I’ve also introduced the idea that objects moving within our frame — moving (or standing still) along with us, but also moving from our perspective — move differently from the perspective of other frames. Specifically, the speed appears different.
Now I’ll dig deeper into that and introduce a crucial exception.
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11 Comments | tags: Albert Einstein, Emmy Noether, Galilean invariance, Galileo Galilei, Mo'ne Davis, motion, scalars, Special Relativity, speed, vectors, velocity | posted in Physics
In the last two posts I’ve explained how Special Relativity concerns relative motion between two frames of reference, and that the motion involved is constant, straight-line motion that allows us to view either frame as the “moving” one or the “standing still” one.
Today I’m going to dig a little bit deeper into the idea of relative motion and what that involves for actions within a constantly moving frame of reference versus what observers in a different frame perceive. In other words: trains, planes, and automobiles.
(Warning: this gets a little math-y, but you can ignore those bits.)
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25 Comments | tags: Albert Einstein, bowling ball, Emmy Noether, frame of reference, Galileo Galilei, James Maxwell, motion, relative motion, relativity, Special Relativity | posted in Physics
A fun way to feel acceleration!
Last time I introduced some of the foundation concepts required for our exploration of Special Relativity. In particular, that the word “special” in this case refers to a specific kind of motion: constant motion in a straight line.
Which may have caused some of you to wonder: Okay, what about motion that isn’t constant (and what’s that business about “in a straight line” — why keep mentioning that)? As it turns out, when motion involves speeding up, or slowing down, or going along a curve (or even just changing direction), that changes the situation in very significant ways!
That’s what I’m going to discuss today.
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3 Comments | tags: acceleration, Albert Einstein, constant motion, cubit, deceleration, fortnight, furlong, General Relativity, jiffy, motion, slowing down, Special Relativity, speeding up | posted in Physics
Okay, if you’ll all take your seats and quiet down, we can begin. I’ll keep this very short today because I know it’s Spring and many of you are eager to get out there and walk Frisbees and throw dogs… I mean — well you know what I mean.
The point is, that in keeping with spring, I’m aiming to keep these posts light and breezy. Unfortunately, I have terrible aim, so we’ll see how that goes. I never met a paragraph I couldn’t make longer!
Ready? Let’s go…
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24 Comments | tags: Albert Einstein, constant motion, frame of reference, motion, Special Relativity | posted in Physics
Okay. I’ve been teasing doubly special Saturday and (especially this year) since last Monday (and planting hints along the way). If you haven’t figured it out by now, today is Albert Einstein’s birthday. It’s also pi day, and how cool is it that a guy like Al was born on pi day?
So: Happy Birthday Albert! The (especially this year) part is because it’s extra-special pi day (3/14/15) and because this year I’m finally going to do what I’ve been wanting to do here to commemorate Einstein’s birthday since I started this blog back in ought-eleven.
I’m going to write — at length — about Special Relativity!
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8 Comments | tags: Albert Einstein, Emmy Noether, faster than light, FTL, Happy Birthday, light speed, pi day, Special Relativity | posted in Math, Physics
One of the things I mentioned in my recent Material Disbelief post was that, if you accept everything physics has discovered in the last 100 years or so — and if you believe in philosophical materialism — you are faced with the very strong possibility that all of reality is some sort of simulation or machine process.
Not only does all the evidence, as well as some basic logic, seem to point in that direction, but as a model of reality it provides easy answers to many of the conundrums of modern physics (e.g. Einstein’s “spooky action at a distance” and some basic questions regarding the Big Bang).
Today I want to lay out the details of the arguments for this.
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31 Comments | tags: Albert Einstein, Bell's Theorem, DisneyQuest, DNA, EPR paper, Leopold Kronecker, materialism, metaphysics, Philosophical materialism, physicalism, reality, simulations, virtual reality, Zeno's paradoxes | posted in Physics
Too Weird for Words!
I started with the idea of physical determinism and what it implies about free will and the future. Then I touched on chaos theory, which is sometimes raised as a possible way around determinism (short answer: nope). In the first article I drew a distinction between “classical” mechanics and quantum mechanics because only at the quantum level is there any sign of randomness in reality.
It turns out that the quantum world is decidedly weird, and while we have math and models that seem to describe it extremely well, it can honestly be said that no one actually understands it. This time I’ll tell you about some of that weirdness and how it may (or may not) apply to the world as we know it.
The key question here is whether our brains make use of quantum effects.
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16 Comments | tags: Erwin Schrödinger, Heisenberg Uncertainty, J.B.S. Haldane, Max Planck, quantum effects, quantum mechanics, quantum physics, Schrödinger's Cat, Werner Heisenberg | posted in Physics
Logos con carne 