Penrose’s gift is that his mind can see concepts in higher dimensions, and his hand can translate them into diagrams for the rest of us. His wit and humor are bonuses. 😁
I feel like this is one of those scientists/mathematicians that go down as famous for fundamental discoveries, except that Penrose is alive in our era.
Oh yeah. This man is one of the greatest of our generation. He's on the same level as Einstein and Hawking. An immortal unforgettable great man for sure.
What do the Twistors of Roger Penrose and the Hopf Fibrations of Eric Weinstein and the "Belt Trick" of Paul Dirac have in common? It takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (Quantum unit). Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length
@@SpotterVideo I don't quite understand most of what you said, but it seems like peculiar and quirky phenomena! I'm planning to study differential geometry sometime soon, so I might get it later.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
What do the Twistors of Roger Penrose and the Hopf Fibrations of Eric Weinstein and the "Belt Trick" of Paul Dirac have in common? It takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (Quantum unit). Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length
It seems the Clifford-Hopf geometry would be best viewed (as are Spinors & Maxwell's single equation) by Hestenes' Geometric Algebra -- a unifying mathematical formalism of physics.
The problem of various pseudo & non-physical formalisms arising might be avoided by casting Twistor theory from the start in the purely physical formalism of Geometric Algebra, a specialized Clifford algebra.
@@LibrawLou Many of the drawings of Twistors, like those seen here, reveal cycles of "twist". Is each twist cycle the source of the "Quantum", being proportional to Planck's Constant?
@@SpotterVideo Interesting -- that does seem a connection to tiny, gravity-"free" spacetime of particles? And how does the twist relate to the double spin required to complete a rotation of a lepton? And could recasting Twistors in Hestenes' Geometric Algebra allow connecting to C. Furey's view of Octonions as the fourth Division algebra necessary to be a major explainer of physics, and not just an interesting math subject?
@@LibrawLou If we add one extra spatial dimension, can we get an Alpha funnel soliton which requires two rotations at the 3D boundary to produce one complete twist cycle at the smaller end of the funnel?
@postiemania May I ask what kind of engine you've been building? Quantum gravito-magnetic pulsar engine? Quasi-anti photonic engine? Gravitonic impulse engine? Beam trajectory engine? ...
@@linz8291 I classify it as an inertial drive engine. The engine works on a newly discovered principle of modifying the associated fields of atomic nuclei. PS. I do like the names you proposed but I believe they don't quite fit the description of what is actually happening.
@postiemania Maybe your classified engine and propulsion systems doesn't includes to applied jump into 24th to 32nd linear time and beyond in hyperspace, so you can just focus on your engine for really happening. Good luck.
@@reimannx33 thank you for your kind words of encouragement. I am a highly skilled technician and my employment has no connection to my hobby. Gravity is an energy flow and by redirecting the flow the mass can be induced to change its vector. It's okay if you don't understand. Over 100 successful tests prove the validity of my statement. But once again thank you for your concern. :p
To me also, I need to revisit his lectures more often. I’ve been lately in 1001600474/ 1001603612 and the relationship of them to 35/ 34999.. and the place 112 if divided by the associated 1014 no.s will move the motion of the no.s from left towards the right. Things that interest me.
Can anyone direct me to a more basic introduction to this material, especially Robinson's contribution? I'm especially trying to understand the relation to the EM field. Is he proposing another type of field, more complicated than a vector field, perhaps comprised of another type of object at every point, with more degrees of freedom than a vector, such as a spinor at every point? And is the stereographic projection he speaks of just a way to picture it in 3D, or is there something about this field that actually takes place in extra dimensions?
You know, I SO wish I could find an introduction to this stuff that actually taught it from first principles. Everything I've been able to find is already just a little out of my reach, and I haven't been able to find the "ladder rungs" I need to cover the gap yet. 😞
@@RandomNooby Well, I'm fairly familiar with a lot of those things. It's just when I start to get to the twistor stuff itself that it doesn't "gel" for me. I may be getting closer - I did find a video series on spinors recently that I got a lot out of, so hopefully that has moved me a little closer. Out of your list group theory is probably the thing I need the most shoring up on.
@@KipIngram grad school is a great place tu study it. Differential Geometry, abstract algebra and algebraic structures are prerequisites to understand spinors. Also, to get the "why" of this topic, you should get to study modern formalisms of both general relativity and quantum mechanics, involving groups and weird algebras and geometric interpretations. Then I think you can jump towards this topic, because it involves a deep understanding in both fields.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Ha ha - no way is there a simple version yet, you'll have to do endless imaginary dot and scalar products examples - such fun! And by the time you've mastered that you will have forgotten your original question.
Are the six dimensions in classic space x,y,z,ct, and two rotations (clockwise and anticlockwise)? Can anyone answer this? (no? thought not - lol,) I am assuming that + and - spin can be considered as dimensions, in math yes but in physics no. I'm not talking about quaternionic theory here.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Interesting, as this could describe “Worm Holes”. I’m not a physicist, but I am curious if the positive and negative hemispheres, could be obtained by the use of, synthetic materials, negative refractive indexed meta materials (left-handed electromagnetic rotation); and natural material, (right-handed electromagnetic rotation). Just a thought…
Positive is dual to negative -- charge, numbers or curvature. Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Ironic but Penrose complained against string theory dealing with higher dimensions, but here you are he construct 6 dimensional model haha. On the other hand, his gluing is essentially a gauging procedure so he derive gauge theory just like string theory does. He doesn't realise this but he essentially indeed in the framework of string theory.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Lie groups are dual to Lie algebras. Twistor space is an equivalent or dual description of space/time. Space is dual to time -- Einstein. Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance). Points are dual to lines -- the principle of duality in geometry. Null points (twistor space) are dual to null lines (light rays in space/time). Clockwise is dual to anti-clockwise -- helicity. Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality. Duality means that there is a 4th law of thermodynamics:- Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic. Action is dual to reaction -- Sir Isaac Newton or the duality of force. Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual. All forces are dual in physics hence energy must be dual:- Energy = force * distance -- simple physics. Energy is duality, duality is energy. Potential energy is dual to kinetic energy -- gravitational energy is dual. Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual. Curvature or gravitation is dual. Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality). The point duality theorem is dual to the line duality theorem. "May the force (duality) be with you" -- Jedi teaching. "The force (duality) is strong in this one" -- Jedi teaching. Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Penrose’s gift is that his mind can see concepts in higher dimensions, and his hand can translate them into diagrams for the rest of us. His wit and humor are bonuses. 😁
Amazing and beloved human. Thankyou
I feel like this is one of those scientists/mathematicians that go down as famous for fundamental discoveries, except that Penrose is alive in our era.
Oh yeah. This man is one of the greatest of our generation. He's on the same level as Einstein and Hawking. An immortal unforgettable great man for sure.
What do the Twistors of Roger Penrose and the Hopf Fibrations of Eric Weinstein and the "Belt Trick" of Paul Dirac have in common?
It takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (Quantum unit).
Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length
@@SpotterVideo I don't quite understand most of what you said, but it seems like peculiar and quirky phenomena! I'm planning to study differential geometry sometime soon, so I might get it later.
couldn’t agree more
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
A very young researcher
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Mentally still younger than many which are younger in years
@@hyperduality2838 this Jan Claude Van Dam line is interresting. But the dual of space is not time, that should be momentum-space (k-vector space)
@@hyperduality2838 this Jan Claude Van Dam line is interresting. But the dual of space is not time, that should be momentum-space (k-vector space)
Thank you Sir Penrose!
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Starts at 1:45
I see Roger I press like
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
What do the Twistors of Roger Penrose and the Hopf Fibrations of Eric Weinstein and the "Belt Trick" of Paul Dirac have in common?
It takes two complete turns to get down the "rabbit hole" (Alpha Funnel 3D--->4D) to produce one twist cycle (Quantum unit).
Can both Matter and Energy be described as "Quanta" of Spatial Curvature? (A string is revealed to be a twisted cord when viewed up close.) Mass= 1/Length
It seems the Clifford-Hopf geometry would be best viewed (as are Spinors & Maxwell's single equation) by Hestenes' Geometric Algebra -- a unifying mathematical formalism of physics.
The problem of various pseudo & non-physical formalisms arising might be avoided by casting Twistor theory from the start in the purely physical formalism of Geometric Algebra, a specialized Clifford algebra.
@@LibrawLou Many of the drawings of Twistors, like those seen here, reveal cycles of "twist". Is each twist cycle the source of the "Quantum", being proportional to Planck's Constant?
@@SpotterVideo Interesting -- that does seem a connection to tiny, gravity-"free" spacetime of particles? And how does the twist relate to the double spin required to complete a rotation of a lepton? And could recasting Twistors in Hestenes' Geometric Algebra allow connecting to C. Furey's view of Octonions as the fourth Division algebra necessary to be a major explainer of physics, and not just an interesting math subject?
@@LibrawLou If we add one extra spatial dimension, can we get an Alpha funnel soliton which requires two rotations at the 3D boundary to produce one complete twist cycle at the smaller end of the funnel?
At 8:38 this is the field geometry of an actual engine I am building. Sir Roger Penrose and his work is very inspiring to me.
@postiemania May I ask what kind of engine you've been building? Quantum gravito-magnetic pulsar engine? Quasi-anti photonic engine? Gravitonic impulse engine? Beam trajectory engine?
...
@@linz8291 I classify it as an inertial drive engine. The engine works on a newly discovered principle of modifying the associated fields of atomic nuclei.
PS. I do like the names you proposed but I believe they don't quite fit the description of what is actually happening.
@postiemania Maybe your classified engine and propulsion systems doesn't includes to applied jump into 24th to 32nd linear time and beyond in hyperspace, so you can just focus on your engine for really happening.
Good luck.
Good, soon you will stand in unemployment line after hitting dead end after dead end.
@@reimannx33 thank you for your kind words of encouragement. I am a highly skilled technician and my employment has no connection to my hobby. Gravity is an energy flow and by redirecting the flow the mass can be induced to change its vector.
It's okay if you don't understand. Over 100 successful tests prove the validity of my statement. But once again thank you for your concern. :p
Very good 👍👍👍
Roger Penrose: "But anyway, he was very useful to me." LMFAOOOOOO
To me also, I need to revisit his lectures more often. I’ve been lately in 1001600474/ 1001603612 and the relationship of them to 35/ 34999.. and the place 112 if divided by the associated 1014 no.s will move the motion of the no.s from left towards the right. Things that interest me.
I mean that 3168 has a 1014 no. In a 10125 space. The 1014 will go upwards 18 spaces to 35 no.
I don’t see the sphere packing unless you moving left to 101010.. no.s To the left
Penrose's mind is a godam powerhouse same as Eric Weinstein
What did the twistor theory solve? What is its specific result?
Can anyone direct me to a more basic introduction to this material, especially Robinson's contribution? I'm especially trying to understand the relation to the EM field. Is he proposing another type of field, more complicated than a vector field, perhaps comprised of another type of object at every point, with more degrees of freedom than a vector, such as a spinor at every point?
And is the stereographic projection he speaks of just a way to picture it in 3D, or is there something about this field that actually takes place in extra dimensions?
I came to nearly the same conclusions.
Can hyperspheres be monopolar?
You know, I SO wish I could find an introduction to this stuff that actually taught it from first principles. Everything I've been able to find is already just a little out of my reach, and I haven't been able to find the "ladder rungs" I need to cover the gap yet. 😞
Calculus, linear algebra, Scalars, vectors, manifolds, geometry, group theory ,etc at postgrad level would be a good start point I think...
@@RandomNooby Well, I'm fairly familiar with a lot of those things. It's just when I start to get to the twistor stuff itself that it doesn't "gel" for me. I may be getting closer - I did find a video series on spinors recently that I got a lot out of, so hopefully that has moved me a little closer.
Out of your list group theory is probably the thing I need the most shoring up on.
@@KipIngram grad school is a great place tu study it. Differential Geometry, abstract algebra and algebraic structures are prerequisites to understand spinors. Also, to get the "why" of this topic, you should get to study modern formalisms of both general relativity and quantum mechanics, involving groups and weird algebras and geometric interpretations. Then I think you can jump towards this topic, because it involves a deep understanding in both fields.
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
"Let me explain the fundamentals of the universe... right... wait... how do you turn the page on this contraption... err..."
This is correct
I am very interested but simple can you point me to a dumming down version plz
Ha ha - no way is there a simple version yet, you'll have to do endless imaginary dot and scalar products examples - such fun! And by the time you've mastered that you will have forgotten your original question.
Are the six dimensions in classic space x,y,z,ct, and two rotations (clockwise and anticlockwise)? Can anyone answer this? (no? thought not - lol,)
I am assuming that + and - spin can be considered as dimensions, in math yes but in physics no. I'm not talking about quaternionic theory here.
Seems Twistor theory is a vastly improved or complexified vortex theory
Wonderful
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
@Hyperduality : Dialectic rules under ever-onward Synthesis!
Interesting, as this could describe “Worm Holes”. I’m not a physicist, but I am curious if the positive and negative hemispheres, could be obtained by the use of, synthetic materials, negative refractive indexed meta materials (left-handed electromagnetic rotation); and natural material, (right-handed electromagnetic rotation). Just a thought…
@@hyperduality2838 : /
@@hyperduality2838 Always two there are! Nice quote!!
Positive is dual to negative -- charge, numbers or curvature.
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
Ironic but Penrose complained against string theory dealing with higher dimensions, but here you are he construct 6 dimensional model haha. On the other hand, his gluing is essentially a gauging procedure so he derive gauge theory just like string theory does. He doesn't realise this but he essentially indeed in the framework of string theory.
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
There are still only four spacetime dimensions. The rest are the spinor degrees of freedom. String theory has extra spacetime dimensions
You have x y z and ct (time) that's 4 dimensions and add two more for spinning clockwise and anticlockwise (+ spin, - spin) makes 6 altogether.
abraxes
It's just a picture of a galaxy. A vortex which destroys matter and creates aether using basic spinning top mechanics.
you must think sometimes with brains, its most difficult situation in your life
so
in finland the more the more cloud the singer will gave loud, it is the best in finland, but i like more mozart
Surface(cos(u/2)cos(v/2),cos(u/2)sin(v/2),sin(u)/2),u,0,2pi,v,0,4pi
I suggest applying twistor theory to the above manifold.
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
if you google robots sight from japan then follow ...
The tangent plane on the sphere is where the algebra happens. Instead of Pythagoren Theorm, it's the quadratic formula.
Lie groups are dual to Lie algebras.
Twistor space is an equivalent or dual description of space/time.
Space is dual to time -- Einstein.
Space/time symmetries are dual to mobius maps -- stereographic projection (conformal invariance).
Points are dual to lines -- the principle of duality in geometry.
Null points (twistor space) are dual to null lines (light rays in space/time).
Clockwise is dual to anti-clockwise -- helicity.
Spinors (matter, Fermions) are dual to vectors (waves, Bosons) -- wave/particle duality.
Duality means that there is a 4th law of thermodynamics:-
Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics!
All observers make predictions to track targets, goals and objectives -- a syntropic process, teleological.
Teleological physics (syntropy) is dual to non teleological physics (entropy).
Thesis (action) is dual to anti-thesis (reaction) creates the converging or syntropic thesis, synthesis -- the time independent Hegelian dialectic.
Action is dual to reaction -- Sir Isaac Newton or the duality of force.
Attraction (sympathy) is dual to repulsion (antipathy), stretch is dual to squeeze, push is dual to pull -- forces are dual.
All forces are dual in physics hence energy must be dual:-
Energy = force * distance -- simple physics.
Energy is duality, duality is energy.
Potential energy is dual to kinetic energy -- gravitational energy is dual.
Vectors (contravariant) are dual to co-vectors (covariant) -- dual bases or Riemann geometry is dual.
Curvature or gravitation is dual.
Gravitation is equivalent or dual (isomorphic) to acceleration -- Einstein's happiest thought, the principle of equivalence (duality).
The point duality theorem is dual to the line duality theorem.
"May the force (duality) be with you" -- Jedi teaching.
"The force (duality) is strong in this one" -- Jedi teaching.
Classical reality is dual to quantum reality synthesizes true reality -- Roger Penrose using the Hegelian dialectic.
@@hyperduality2838 that's what I said!