audioloop
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Rational T said:So what collapsed the wave-function?
you know what is a linear Schrödinger equation and a non linear equation and what is a superposition ?
The forum discussion centers on Alexander Vilenkin's model of cosmic origins, which posits that the universe emerged from a quantum tunneling event. A critical point of contention is that this model assumes a closed universe, while current evidence suggests the universe is likely flat with a margin of error of less than 1%. Participants argue that inflation could render any spatial curvature undetectable, thus validating Vilenkin's model despite the flat universe evidence. The debate also touches on the implications of energy states in closed versus flat universes, particularly regarding the net energy balance required for the universe to originate from "nothing."
PREREQUISITESAstronomers, physicists, cosmologists, and anyone interested in the foundational theories of the universe's origins and the implications of cosmic geometry.
Rational T said:So what collapsed the wave-function?
audioloop said:you know what is a linear Schrödinger equation and a non linear equation and what is a superposition ?
Rational T said:All I know, is that wave-function is due to measurement/ observation. My is, what could have possibly caused the wave-function of to while it was in a of uncertainty? .
audioloop said:measurement/observation is heredited from the Copenhagen interpretation.
...The Copenhagen interpretation assumes a mysterious division between the microscopic world governed by quantum mechanics and a macroscopic world of apparatus and observers that obeys classical physics. During measurement the state vector of the microscopic system collapses in a probabilistic way to one of a number of classical states, in a way that is unexplained, and cannot be described by the time-dependent Schrödinger equation...
cos in standard quantum mechanics Schrödinger equation is linear i.e. ever in superposition,
and in the many world interpretation:
...assumes that the state vector of the whole of any isolated system does not collapse, but evolves deterministically according to the time-dependent Schrödinger equation...
audioloop said:measurement/observation is in-herited from the Copenhagen interpretation
...The Copenhagen interpretation assumes a mysterious division between the microscopic world governed by quantum mechanics and a macroscopic world of apparatus and observers that obeys classical physics. During measurement the state vector of the microscopic system collapses in a probabilistic way to one of a number of classical states, in a way that is unexplained, and cannot be described by the time-dependent Schrödinger equation...
cos in standard quantum mechanics Schrödinger equation is linear i.e. ever in superposition,
and in the many world interpretation:
...assumes that the state vector of the whole of any isolated system does not collapse, but evolves deterministically according to the time-dependent Schrödinger equation...
Rational T said:Vilenkin's of cosmic says could have began acausally as a . If what you are saying is true, that only determinism can explain this, then this is contradictory. How can something deterministic explain an acausal ? Also, appealing to multiple universes is a violation of Parsimony...I think you see the problem here.
audioloop said:why you say determinism ?
audioloop said:why you say determinism ?
Rational T said:"...assumes that the vector of the whole of any isolated system does not , but evolves deterministically according to the time-dependent Schrödinger equation..."
You said it. All I'm saying, is that it's simpler to assume an observer from the collapsed the -function of , than to introduce many worlds to explain it. Many worlds seems like a violation of Parsimony and Occam's Razor, to try to avoid the conclusion that an observer caused the wave-function . One observer is simply than many worlds.
Rational T said:If you appeal to many worlds to solve the problem, then you violate Occam'z Razor.
audioloop said:not me.
audioloop said:i dislike many worlds, i am no aduce from it.
Rational T said:So you agree that an observer must have collapsed the -function. Since you dislike the many worlds idea..
audioloop said:no observers, in objective collapse models there is no need of observers.
It doesn't have to be external. It just needs enough disparate parts that are tightly-interacting to cause collapse. One way of thinking of this is to divide the wavefunction into two regions that are tightly-interacting. As long as each region has enough complexity, the other will be forced to effectively collapse.Rational T said:What external complex system could have interacted with the wave-function to cause it to collapse though?
Chalnoth said:It doesn't have to be external. It just needs enough disparate parts that are tightly-interacting to cause collapse. One way of thinking of this is to divide the wavefunction into two regions that are tightly-interacting. As long as each region has enough complexity, the other will be forced to effectively collapse.
Chalnoth said:It doesn't have to be external. It just needs enough disparate parts that are tightly-interacting to cause collapse. One way of thinking of this is to divide the wavefunction into two regions that are tightly-interacting. As long as each region has enough complexity, the other will be forced to effectively collapse.
I think this is just an artifact of not knowing the correct theory of quantum gravity.Rational T said:Also, aren't quantum events contingent to space-time? Or, is it just as plausible for a quantum tunneling event to emerge from a state void of space-time? Thank you.
Rational T said:Also, Alexander's model only works if the universe is closed:
"The only verifiable (in principle) prediction of the model is that the universe must be closed." - http://mukto-mona.net/science/physics/a_vilinkin/universe_from_nothing.pdf
However, the theory of inflation predicts the universe is flat:
"The current theoretical belief (because it is predicted by the theory of cosmic inflation) is that the universe is flat..." - http://starchild.gsfc.nasa.gov/docs/StarChild/questions/question35.html
Inflation doesn't predict absolute flatness. It merely predicts that the universe is driven from whatever curvature it started with towards extreme flatness.Rational T said:However, the theory of inflation predicts the universe is flat:
"The current theoretical belief (because it is predicted by the theory of cosmic inflation) is that the universe is flat..." - http://starchild.gsfc.nasa.gov/docs/StarChild/questions/question35.html
Rational T said:the wave-function of self-collapsed? If so, how often does this really occur in the real world [STRIKE]without external measurement being a necessary condition?[/STRIKE]
audioloop said:right.
called the collapse of the state vector
...an inherently probabilistic physical collapse, not limited as in the Copenhagen interpretation to measurement by a macroscopic apparatus, but occurring at all scales...
audioloop said:right.
called the collapse of the state vector
...an inherently probabilistic physical collapse, not limited as in the Copenhagen interpretation to measurement by a macroscopic apparatus, but occurring at all scales...
re-read the post.Rational T said:Also, 's only works if is closed:
"The only verifiable (in principle) of the is that must be closed." - http://mukto-mona.net/science/physics/a_vilinkin/universe_from_nothing.pdf
audioloop said:for tunneling universe
Cosmology and Open Universes
http://arxiv.org/pdf/gr-qc/9905056.pdf
...Restricting ourselves to the Tunneling boundary condition, and applying it in turn to each of these curvatures, it is shown that quantum cosmology actually suggests that be open, k = −1...Quantum Creation of an Open Inflationary Universe
http://arxiv.org/abs/gr-qc/9802038
If one uses the tunneling wave function for the description of creation of , then in most inflationary the universe should have Ω = 1, which agrees with the standard expectation that inflation makes the universe flat.Nonsingular instantons for the creation of open universes
Phys. Rev. D 59, 043509
We show that the instability of the singular Vilenkin instanton describing the creation of an open universe can be avoided using, instead of a minimally coupled scalar field, an axionic massless scalar field which gives rise to the Giddings-Strominger instanton.
audioloop said:re-read the post.
already posted:
No, it doesn't. Not by any stretch of the imagination. No consciousness is required for collapse, as I already showed you earlier.Rational T said:So it is self-collapsing, if not being caused to collapse by anything external. This means the universe is conscious.
Chalnoth said:No, it doesn't. Not by any stretch of the imagination. No consciousness is required for collapse, as I already showed you earlier.
Chalnoth said:No, it doesn't. Not by any stretch of the imagination. No consciousness is required for collapse, as I already showed you earlier.
Rational T said:None of that has to do with the that a -collapsing wave-function is a conscious experience. You admitted that the universal wave-function is -collapsing, then this proves an ultimate . So, it seems science has proved what humans have known for thousands of years already. Thanks for your help!
Rational T said:AAlso, Alexander's model only works if the universe is closed: 's only works if the universe is closed:
"The only verifiable (in principle) prediction of the model is that the universe must be closed." - http://mukto-mona.net/science/physics/a_vilinkin/universe_from_nothing.pdf