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Lawrence Krauss is debunked by Roger Penrose, Nobel Physicist: Noncommutativity Protoconsciousness
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Voidisyinyang Voidisyinyang
16 hours ago
@End PC more likely you have not been able to keep up with Penrose. He now admits that noncommutativity is the foundation of reality. This basic truth is not even acknowledged by 99.9% of scientists. Penrose also admits he's not good at doing noncommutative geometry math aka quantum algebra. He co-wrote a paper on the topic.
End PC
13 hours ago
@Voidisyinyang Voidisyinyang Lot of things are commutative (per certain operators), starting with the real & complex number systems and many algebras. Links to what you're talking about? Has he changed his mind on rejecting the strong AI claim 𝒜 as described in his "Shadows Of The Mind", that all thinking is computation?
Voidisyinyang Voidisyinyang
12 hours ago
@End PC Ok first of all you need to deprogram your commutative geometry wrong logic. Study math professor Louis Kauffman for example, " All of this points out how the complex numbers, as
we have previously examined them, live naturally in
the context of the non-commutative algebras of iterants and matrices..... A natural non-commutative algebra arises directly from articulation of discrete process and can be regarded as essential information in a Fermion." .. and "By starting with a discrete time series of positions, one has immediately a non-commutativity of observations, since the measurement of velocity involves the tick of the clock and the measurement of position does not demand the tick of the clock....In this sense, i [square root of negative one] is identical in concept to a primordial time.".. This is what Roger Penrose calls "fundamental time." So Krauss really has not studied Penrose's most recent lectures on youtube at all. Tragic.
Voidisyinyang Voidisyinyang
12 hours ago
@End PC Roger Penrose is citing Fields Medal math professor Alain Connes. For example consider Connes' lecture on music theory, "Music of Shapes" - on youtube; "Why should Nature require some noncommutativity for the algebra? This is very strange. For most people noncommutativity is a nuisance. You see because all of algebraic geometry is done with commutative variables. Let me try to convince you again, that this is a misgiving. OK?....Our view of the spacetime is only an approximation, not the finite points, it's not good for inflation. But the inverse space of spinors is finite dimensional. Their spectrum is SO DENSE that it appears continuous but it is not continuous.... It is only because one drops commutativity that variables with a continuous range can coexist with variables with a countable range...."
"the amazing fact is that exactly time is emerging from the noncommutivity...thanks to noncommutativity ONLY that one can write the time evolution of a system, in temperature, in heat bath, the time evolution is really coming from the noncommutativity of the variables" and... "You can recover the distance from two points, in a different manner....but by sending a wave from point A to point B with a constraint on the vibration of the wave, can not vibrate faster than 1; because what I ask is the commutator of the Dirac Operator is less than 1...It no longer requires that the space is connected, it works for discrete space. It no longer requires that the space is commutative, because it works for noncommutative space....the algebra of coordinates depends very little on the actual structure and the line element is very important. What's really important is there interaction [the noncommutative chord]. When you let them interact in the same space then everything happens"
"The symmetry group of special relativity is not entirely simple, due to translations. The Lorentz group is the set of the transformations that keep the origin fixed, but translations are not included. The full Poincaré group is the semi-direct product of translations with the Lorentz group. If translations are to be similar to elements of the Lorentz group, then as boosts are non-commutative, translations would also be non-commutative.
....
De Sitter special relativity postulates that the empty space has de Sitter symmetry as a fundamental law of nature. This means that spacetime is slightly curved even in the absence of matter or energy. This residual curvature implies a positive cosmological constant Λ to be determined by observation."
16 hours ago
@End PC more likely you have not been able to keep up with Penrose. He now admits that noncommutativity is the foundation of reality. This basic truth is not even acknowledged by 99.9% of scientists. Penrose also admits he's not good at doing noncommutative geometry math aka quantum algebra. He co-wrote a paper on the topic.
End PC
13 hours ago
@Voidisyinyang Voidisyinyang Lot of things are commutative (per certain operators), starting with the real & complex number systems and many algebras. Links to what you're talking about? Has he changed his mind on rejecting the strong AI claim 𝒜 as described in his "Shadows Of The Mind", that all thinking is computation?
Voidisyinyang Voidisyinyang
12 hours ago
@End PC Ok first of all you need to deprogram your commutative geometry wrong logic. Study math professor Louis Kauffman for example, " All of this points out how the complex numbers, as
we have previously examined them, live naturally in
the context of the non-commutative algebras of iterants and matrices..... A natural non-commutative algebra arises directly from articulation of discrete process and can be regarded as essential information in a Fermion." .. and "By starting with a discrete time series of positions, one has immediately a non-commutativity of observations, since the measurement of velocity involves the tick of the clock and the measurement of position does not demand the tick of the clock....In this sense, i [square root of negative one] is identical in concept to a primordial time.".. This is what Roger Penrose calls "fundamental time." So Krauss really has not studied Penrose's most recent lectures on youtube at all. Tragic.
Voidisyinyang Voidisyinyang
12 hours ago
@End PC Roger Penrose is citing Fields Medal math professor Alain Connes. For example consider Connes' lecture on music theory, "Music of Shapes" - on youtube; "Why should Nature require some noncommutativity for the algebra? This is very strange. For most people noncommutativity is a nuisance. You see because all of algebraic geometry is done with commutative variables. Let me try to convince you again, that this is a misgiving. OK?....Our view of the spacetime is only an approximation, not the finite points, it's not good for inflation. But the inverse space of spinors is finite dimensional. Their spectrum is SO DENSE that it appears continuous but it is not continuous.... It is only because one drops commutativity that variables with a continuous range can coexist with variables with a countable range...."
"the amazing fact is that exactly time is emerging from the noncommutivity...thanks to noncommutativity ONLY that one can write the time evolution of a system, in temperature, in heat bath, the time evolution is really coming from the noncommutativity of the variables" and... "You can recover the distance from two points, in a different manner....but by sending a wave from point A to point B with a constraint on the vibration of the wave, can not vibrate faster than 1; because what I ask is the commutator of the Dirac Operator is less than 1...It no longer requires that the space is connected, it works for discrete space. It no longer requires that the space is commutative, because it works for noncommutative space....the algebra of coordinates depends very little on the actual structure and the line element is very important. What's really important is there interaction [the noncommutative chord]. When you let them interact in the same space then everything happens"
"The symmetry group of special relativity is not entirely simple, due to translations. The Lorentz group is the set of the transformations that keep the origin fixed, but translations are not included. The full Poincaré group is the semi-direct product of translations with the Lorentz group. If translations are to be similar to elements of the Lorentz group, then as boosts are non-commutative, translations would also be non-commutative.
....
De Sitter special relativity postulates that the empty space has de Sitter symmetry as a fundamental law of nature. This means that spacetime is slightly curved even in the absence of matter or energy. This residual curvature implies a positive cosmological constant Λ to be determined by observation."
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