I think space time is thick, heavy, like treacle. Not so much philosophical 😀
If you want to move a body through space time, you need enormous amounts of energy, relatively speaking. All you are doing of course is shifting your relative time wrt everything else. We feel that as acceleration, and if we stop the accelerating force, that perception stops, put we are now in a new space time position relative to our previous one.
But acceleration stops at cruising speed, not necessarily altogether. Without friction, distance traveled is irrelevant? Is there friction to stop a moving body in outer space?
No friction and no stopping in space. You only feel acceleration as you shift you time reference wrt to your previous time reference. Once you remove the accelerating force, you continue to move in the direction of the force. In the presence of friction, as here on Earth in a car for example, the car’s kinetic energy (gained through accelerating it to a new time reference) simply ‘bleeds’ off as thermal energy.
The feeling of acceleration. Of course, this is a wholly human experience that does not exist insofar as we know for inanimate objects and maybe perceived completely differently by other animals.
Now this is philosophy which I have no interest in 😉
Now this is philosophy which I have no interest in 😉
I mentioned Geometric Algebra a while back. It's an intuitive way of doing space-time geometry with less of the abstract Gibbs/ Heaviside/ Hamilton vectors.
Seems it suits people who are good at Geometry, but weaker on Maths. Very little it can't deal with too. Relativity, alternative geometries of Space-Time, the list goes on. Invented by Grassman and extended by Clifford.
A Layman's explanation here with no equations at all:
Joan Lasenby on Applications of Geometric Algebra in Engineering - YouTube
I am taking baby steps with a simple introduction:
Geometric Algebra in 2D - Fundamentals and Another Look at Complex Numbers - YouTube
Amazing. No need for complex numbers! 😎
Seems it suits people who are good at Geometry, but weaker on Maths. Very little it can't deal with too. Relativity, alternative geometries of Space-Time, the list goes on. Invented by Grassman and extended by Clifford.
A Layman's explanation here with no equations at all:
Joan Lasenby on Applications of Geometric Algebra in Engineering - YouTube
I am taking baby steps with a simple introduction:
Geometric Algebra in 2D - Fundamentals and Another Look at Complex Numbers - YouTube
Amazing. No need for complex numbers! 😎
Steve, those videos are too long for my short attention span. 
Not to mention too "complex" for my feeble mathematical brain!
I can just about manage the complex plane.
No, not this complex plane!
Complex Numbers
"Maths is Fun" - that's what we want. So give us a giggle, Steve! 😀
Not to mention too "complex" for my feeble mathematical brain!
I can just about manage the complex plane.
An externally hosted image should be here but it was not working when we last tested it.
No, not this complex plane!
Complex Numbers
"Maths is Fun" - that's what we want. So give us a giggle, Steve! 😀
You asked for it... 😀
Well, I know you are pretty hot on chemistry, Galu...
Two scientists walk into a bar, and decide to have a drinking contest.
The first walks up to the barmaid and says, "I'll have a glass of H2O, please."
The second scientist says, "I'll have a glass of H2O, too."
The first scientist won.
Hint: Hydrogen peroxide - Wikipedia
What about Quantum Computation?
Alice and Bob go into this bar. It's late at night, and they're both a bit worse for wear. Alice orders a drink, and Bob slumps face first onto the bar. "A pint of bitter for my boyfriend here, and a lager for myself," says Alice, "And don't tell me how much it is, just put it on our tab."
So the barman pours drink after drink, Bob and Alice get more and more drunk, and even the barman hasn't got a clue how much they've had or how much they've spent.
At the end of the night the barman rings up the tab, and says, "That's 54 pounds, 51 pence, but I've no idea how many beers that was, or how much each cost."
Bob lifts his head from the puddle of stale beer it's resting in, gazes vaguely at the barman and pronounces, "That's 23 drinks at 237 pence each," before dropping his head back on the bar.
The barman stares at Bob and says, "Wow! That was really quick! Are you Shor?"
Hint: Peter Shor - Wikipedia
You'll be thanking me for getting back to Geometric Algebra soon. 😉
Well, I know you are pretty hot on chemistry, Galu...
Two scientists walk into a bar, and decide to have a drinking contest.
The first walks up to the barmaid and says, "I'll have a glass of H2O, please."
The second scientist says, "I'll have a glass of H2O, too."
The first scientist won.
Hint: Hydrogen peroxide - Wikipedia
What about Quantum Computation?
Alice and Bob go into this bar. It's late at night, and they're both a bit worse for wear. Alice orders a drink, and Bob slumps face first onto the bar. "A pint of bitter for my boyfriend here, and a lager for myself," says Alice, "And don't tell me how much it is, just put it on our tab."
So the barman pours drink after drink, Bob and Alice get more and more drunk, and even the barman hasn't got a clue how much they've had or how much they've spent.
At the end of the night the barman rings up the tab, and says, "That's 54 pounds, 51 pence, but I've no idea how many beers that was, or how much each cost."
Bob lifts his head from the puddle of stale beer it's resting in, gazes vaguely at the barman and pronounces, "That's 23 drinks at 237 pence each," before dropping his head back on the bar.
The barman stares at Bob and says, "Wow! That was really quick! Are you Shor?"
Hint: Peter Shor - Wikipedia
You'll be thanking me for getting back to Geometric Algebra soon. 😉
Last edited:
Galu, you started the topic of ridiculous Mathematical jokes.
I have many about indices. But am 2^2 to tell most of them. 🙄
A Group walks into a Bar. A Leprechaun, a Monkey, a Giraffe, an Elephant, a Banana,
The Barman asks: "Is this some sort of a JOKE?" 😀
I have many about indices. But am 2^2 to tell most of them. 🙄
A Group walks into a Bar. A Leprechaun, a Monkey, a Giraffe, an Elephant, a Banana,
The Barman asks: "Is this some sort of a JOKE?" 😀
Actually, the "Math is Fun" site is a great place for budding physicists to visit.
Colourful diagrams and animations aid the understanding of some of the fundamental concepts of physics.
Physics Index
Colourful diagrams and animations aid the understanding of some of the fundamental concepts of physics.
An externally hosted image should be here but it was not working when we last tested it.
Physics Index
Last (fractal) mathematical joke:
What does the B in Benoit B. Mandelbrot stand for?
Answer: Benoit B. Mandelbrot! 😀
Serious thoughts about Geometric Algebra. It's a bit of a reset of our way of thinking about vectors. I always hated the cross product. Made no sense to me. It is isomorphic to the plane of complex numbers.
In Geometric Algebra you have no need for quaternions, complex numbers or the wretched cross product. No need for an origin either. Extendable into umpteen dimensions too, including 5D conformal Geometric Algebra. A subject I like.
Lines and volumes are simply objects. How cool is that? 😎
Maths and Physics has been in a complete muddle for 150 years. Time to move on.
What does the B in Benoit B. Mandelbrot stand for?
Answer: Benoit B. Mandelbrot! 😀
Serious thoughts about Geometric Algebra. It's a bit of a reset of our way of thinking about vectors. I always hated the cross product. Made no sense to me. It is isomorphic to the plane of complex numbers.
In Geometric Algebra you have no need for quaternions, complex numbers or the wretched cross product. No need for an origin either. Extendable into umpteen dimensions too, including 5D conformal Geometric Algebra. A subject I like.
Lines and volumes are simply objects. How cool is that? 😎
Maths and Physics has been in a complete muddle for 150 years. Time to move on.
My favourite joke is when someone says they can prove something is random. Bonus that the process is private.
You can prove that a random number comes from a non-classical process, you can prove that the event has not been externally entangled and you can perform quantum challenges to ensure that the process has not be replaced by a long sequence of quantum numbers.
So you can prove a number comes from a quantum process, but you can't prove the number is random itself.
My serious thought is that the non-mathematicians among us (including me) may not have an inkling of what Geometric Algebra (GA) is!
Those of a masochistic bent can read all about the applications of GA in the book Geometric Algebra for Physicists (see attachment).
Alternatively, here is a link to a University of Cambridge lecture course in Geometric Algebra: Untitled Document
Complete the course and you may actually understand what the blazes Steve is waxing lyrical about! 😀
Attachments
I'm sure Steve will get your joke, Nick.
As for me, I'm still waiting for the punchline! 😀
For those of you also interested in evolution, paleontology, climate-paleontology and dinosaurs, I can highly recommend
About Us – COMMON DESCENT
Great podcast out every 2 weeks with about 130+ under the belt. Occasionally, some really interesting guests diving deeply into the science around all this stuff.
🙂
About Us – COMMON DESCENT
Great podcast out every 2 weeks with about 130+ under the belt. Occasionally, some really interesting guests diving deeply into the science around all this stuff.
🙂
There appears to be nothing my elder son doesn't know about the evolution of our understanding of dinosaurs.
Our interpretation of the physical forms of the dinosaurs has most certainly evolved since Airfix released their dinosaur kits in 1981.
Don't believe the more modern box art of my Airfix dinosaur set shown above.
The attachments show what Airfix actually believed the Tyrannosaurus Rex to look like at the time it was modelled 40 years ago!
Our interpretation of the physical forms of the dinosaurs has most certainly evolved since Airfix released their dinosaur kits in 1981.
Don't believe the more modern box art of my Airfix dinosaur set shown above.
The attachments show what Airfix actually believed the Tyrannosaurus Rex to look like at the time it was modelled 40 years ago!
Attachments
Looks good, Bonsai!
I'll be delving in to some of those podcasts. Must check if my boy's aware of them.
As for evolution, see attachment. 😉
Attachments
- Status
- Not open for further replies.