He is 93 years old and still has the passion and curiosity combined with a great perseverance in his life. Truly an inspiring figure for me, personally.
Twistor theory has had a profound impact on our understanding of the geometry of space-time, from its origins in flat space-times to the development of bi-twistors and their applications in curved space-times. Twistor theory initially provided a new perspective for describing solutions to equations like those in general relativity, but how has the transition from flat to curved space-times using bi-twistors advanced our understanding of gravitational fields and cosmological models? Additionally, what are the current challenges in applying twistor theory to more complex curved space-times, and where might future research take this field?
I start some subjects over my head, and look up new words that I don't know. Wikipedia is very useful for this on math at least. I click on links of new words until I run into something I already know. It takes time and persistence.
Let me explain the best I can: Imagine you were a 1 dimensional being, living as a line on a line. One day you discover a particle in your world that moves in this funny and seemingly impossible way. By your math, it would seem like the particles moves 1 step, then another, and then speeds off to infinity and then shows up behind you as if it were coming from infinity in the opposite direction. Very weird!! Now another line mathematician tells you that he thinks its a "circle" the pattern makes more sense if you imagine a circle (which to them is impossible but they can define a circle, just not see it). A 2 dimensional being or a 3 dimensional being (us) can see the circle that exists above and below the line, and the particle they see is a shadow that the particle on the circle is making on the line. This repeats. A 2d being cannot see spheres. A particle on a sphere appears to be on a cirlce to the 2d being. Now. We are here in 3D, and we have particles with half-spin. Meaning if we rotate the particle 360° it only makes half a turn!! So weird!!! But if you make a hypersphere and put the particle on it and say we only see the shadow, suddenly the half-spin makes perfect geometric sense. Only issue is we cannot see it. To the line being everything is lines, to the 2d person, everything is cirlces. To us, everything looks like spheres. Each of us have a particle in our world that suggest a higher dimensional makes more sense than magic particle
@6:16 - Mr Penrose is describing a 'z pinch' that in turn could act like a venturi,as diagram M clearly illustrates. Birkland currents and the Electric Universe model is a better fit by far. The gravity model is lost in space and good riddance too!
Penrose's lectures are gold dust in the annals of human endeavor to comprehend nature and reality. I suddenly realized he will be a loss to all mankind once he is no more.
Surface(cos(u/2)cos(v),cos(u/2)sin(v),sin(u)/2) A single sided closed figure. The radially symmetric Klein bottle. The spinor. So that an electron on this side of manifold is simultaneously a positron on the other. One orbit on the exterior note requires one orbit on the interior to return. Non orientated. 720°
He is 93 years old and still has the passion and curiosity combined with a great perseverance in his life. Truly an inspiring figure for me, personally.
He still remembers more than I’ll ever know at his level of genius
@@brendawilliams8062 indeed!
He is respected physician who has pushing academic research forward.
An amazingly calmly self-confident great person and outstanding scientist!
非常感谢您们的提醒和指点！
Twistor theory has had a profound impact on our understanding of the geometry of space-time, from its origins in flat space-times to the development of bi-twistors and their applications in curved space-times. Twistor theory initially provided a new perspective for describing solutions to equations like those in general relativity, but how has the transition from flat to curved space-times using bi-twistors advanced our understanding of gravitational fields and cosmological models? Additionally, what are the current challenges in applying twistor theory to more complex curved space-times, and where might future research take this field?
I wish I was smarter so I can understand every word he teach. Deep respect Sir.
It takes time.
I start some subjects over my head, and look up new words that I don't know. Wikipedia is very useful for this on math at least. I click on links of new words until I run into something I already know.
It takes time and persistence.
Let me explain the best I can:
Imagine you were a 1 dimensional being, living as a line on a line. One day you discover a particle in your world that moves in this funny and seemingly impossible way. By your math, it would seem like the particles moves 1 step, then another, and then speeds off to infinity and then shows up behind you as if it were coming from infinity in the opposite direction. Very weird!! Now another line mathematician tells you that he thinks its a "circle" the pattern makes more sense if you imagine a circle (which to them is impossible but they can define a circle, just not see it). A 2 dimensional being or a 3 dimensional being (us) can see the circle that exists above and below the line, and the particle they see is a shadow that the particle on the circle is making on the line.
This repeats. A 2d being cannot see spheres. A particle on a sphere appears to be on a cirlce to the 2d being.
Now. We are here in 3D, and we have particles with half-spin. Meaning if we rotate the particle 360° it only makes half a turn!! So weird!!!
But if you make a hypersphere and put the particle on it and say we only see the shadow, suddenly the half-spin makes perfect geometric sense. Only issue is we cannot see it. To the line being everything is lines, to the 2d person, everything is cirlces. To us, everything looks like spheres. Each of us have a particle in our world that suggest a higher dimensional makes more sense than magic particle
Brilliant Professor your job was to understand this dimension my job was to build a transport system for grandchildren to navigate safely within it
I am a simple man. I read Penrose, I click.
What an amazing human. I consider Sir Roger Penrose in the same company and class as Sir David Attenborough. Two amazing humans indeed. ❤😊
By far the greatest thinker of our times .....
@6:16 - Mr Penrose is describing a 'z pinch' that in turn could act like a venturi,as diagram M clearly illustrates. Birkland currents and the Electric Universe model is a better fit by far. The gravity model is lost in space and good riddance too!
Thankyou
1:00:00 Penrose on feynman
Penrose's lectures are gold dust in the annals of human endeavor to comprehend nature and reality. I suddenly realized he will be a loss to all mankind once he is no more.
I think he is 99% correct.
So you know what the missing 1% is about?
The hard problem. Me::No
@@bluesque9687 I know the 1% but I'm not telling you.
Surface(cos(u/2)cos(v),cos(u/2)sin(v),sin(u)/2)
A single sided closed figure.
The radially symmetric Klein bottle.
The spinor.
So that an electron on this side of manifold is simultaneously a positron on the other.
One orbit on the exterior note requires one orbit on the interior to return. Non orientated. 720°
i read hes books ，its remarkable，which make me thinking the range of causal awareness where the math was built and behinding math how we figure out
Atiyah quaternionic
If you hit the universe on the knee and it kicks back then you are close to the truth.
Lopez Jessica Walker William Jones William