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RP
Roger Penrose
09/29/24
@ Curt Jaimungal
The splitting of positive and negative frequency components in quantum field theory is not conformally invariant, which presents a conceptual impasse.
Video
CJ
The 21st Century’s Greatest Living Scientist | Roger Penrose
@ Curt Jaimungal
09/29/24
Related Takeaways
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
The positive-negative frequency idea in twistor theory was something I learned from Engelbert Schuching, emphasizing the importance of splitting field amplitudes in quantum field theory.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
The principle of equivalence in general relativity conflicts with the principle of superposition in quantum mechanics, highlighting a fundamental tension between these two theories.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
The collapse of the wave function is a physical process, and I argue that quantum mechanics, as it currently stands, is incomplete and needs significant modification.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
In quantum mechanics, the wave function is typically linear, allowing for the superposition of states, but in my approach, I consider a non-linear graviton wave function.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
Maxwell's equations are conformally invariant, meaning they depend on the space-time structure independent of scaling.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
Quantum theory as a whole is wrong, and the role of gravity in quantum mechanics conflicts with the principle of superposition.
TT
Terence Tao
06/15/25
@ Lex Fridman
We haven't unified quantum mechanics and general relativity yet because we don't know what the fundamental objects are, and we need to rethink our notions of space and time.
RP
Roger Penrose
09/29/24
@ Curt Jaimungal
Twistor theory can be applied in complex space-time, particularly useful for quantum theory involving wave functions.
JL
Janna Levin
05/05/25
@ Lex Fridman
The resolution to the information paradox may involve allowing non-local connections between particles through wormholes while preserving quantum mechanics, suggesting that gravity emerges from a quantum description and isn't fundamental but rather a result of deeper quantum mechanics.