Heisenberg Uncertainty Principal does not show indeterminism

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LoveNotHate
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31 Jan 2014, 9:59 pm

1. Some physicists argue that the Heisneberg Uncertainty Principal proves at least some free will ...

[youtube]http://www.youtube.com/watch?v=lFLR5vNKiSw[/youtube]


2. Illustration of the "HSU" Heisenberg Uncertainty Principal ( http://en.wikipedia.org/wiki/Uncertainty_principle )


Image

Items in Figure
Delta X = the range of X axis to look for an electron under the microscope
Blue Dot = electron we want to locate
Green Arrow = is the "observer" of a gamma ray light photon of a microscope used to observe or "see" the electron
Red Arrow = is the scattering of light after hitting the electron and then entering the microscope
Angle theta = the unknown angle of scattering of the gamma ray photon into the microscope after hitting the electron

The HSU states that there a fundamental limit to the precision with which certain pairs of physical properties of a particle known as complementary variables,
such as position x and momentum p, can be known simultaneously ( http://en.wikipedia.org/wiki/Uncertainty_principle )

4. The mathematical proof of the HSU

http://www.tjhsst.edu/~2011akessler/notes/hup.pdf

This professor explains the HSU proof. I indexed the time. ( http://www.youtube.com/watch?feature=pl ... e_Q#t=3597 )

5. What is happening ...

Heisneberg imagines an experimenter trying to measure the position and momentum of an electron by shooting a photon at it.

Problem 1 (Uncertain momentum) – If the photon has a short wavelength, and therefore, a large momentum, the position can be measured accurately. But the photon scatters in a random direction, transferring a large and uncertain amount of momentum to the electron. If the photon has a long wavelength and low momentum, the collision does not disturb the electron's momentum very much, but the scattering will reveal its position only vaguely.

Problem 2 (Uncertain Position) – If a large aperture is used for the microscope, the electron's location can be well resolved (see Rayleigh criterion); but by the principle of conservation of momentum, the transverse momentum of the incoming photon and hence, the new momentum of the electron resolves poorly. If a small aperture is used, the accuracy of both resolutions is the other way around.

Thus, there is something in the universe that cannot be known with certainty.

6. This professor explains it well , sorry the linking does not work ... I timed indexed it to the part that discusses the above figure

http://www.youtube.com/watch?feature=pl ... e_Q#t=2933

7. The HSU indeterminism argument

1. What is happening is that the wavelength of the light (gamma ray in this case) that is being used to measure the particle (electron in this case) is affecting the particle.

2. Thus, HSU shows indeterminism because humans need light to measure the particle, and this light interferes with the observation of the particle, therefore, humans with their mathematics and light measuring device cannot determine the position and momentum of the particle simultaneously. Therefore, because something in the universe cannot be predicted precisely, inherent randomness is shown, and indeterminism is proven to some degree.

8. My response

I might be a fool, or I am completely missing something however here are my arguments ...

1. My first thought is that it sounds like human arrogance that one sees in religion where the dogma is that the universe exists for humans. Humans can't figure something out. Therefore, there is indeterminism!

2. Get a better observation device ? Gamma rays are interfering .. so try something else .. ? Ok , so you have no other device presently, so how about admitting your observation device is interfering with the experiment ? How is the conclusion that the universe is indeterminate ?

3. What if I show up to fix your dishwasher with a hammer and a saw ? Then I can argue that there is an "uncertainty" of whether I can determine what is wrong. My hammer and saw are making the determination uncertain. Of course, if you have the wrong tools, then uncertainty is an absolute. Ok. I am just having fun here. :) Wrong tools = uncertainty.

4. The HSU actually creates the mathematical uncertainty by bouncing the gamma waves off the electron. Thus, there is no "inherent randomness".

5. The mathematical proof assumes uncertainty by using the probability distribution as the means to prove uncertainty. So, of course, surprise, surprise, the HSU proof "proves" uncertainty, because earlier in the proof, it was assumed to be uncertain. :roll:

6. The HSU "uncertainty" is proven in mathematics. Mathematics is abstract, and only exists in the human mind. So, at best the HSU merely shows that if you have the wrong tools, then there is uncertainty in the human mind as to the position/momentum of the particle. Uncertainty in the human mind does not extend to the universe.



wcoltd
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31 Jan 2014, 10:18 pm

How does information travel from one place to another? Is it possible to construct a method other than using photons to gather information regarding both the position and momentum of a particle. I think it's Heisenberg's hypothesis (it may be proven I don't know) that even if you developed some other system, one that was minimally obstructive it would still be unable to determine both position and momentum precisely.

Perhaps it doesn't tell us anything at all about whether things are deterministic or indeterminate, perhaps it tells us something about what it means to observe something.



DentArthurDent
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31 Jan 2014, 10:31 pm

Well as I understand it the Heisneberg Uncertainty Principal simply shows that we may never have a unified theory as so far it seems impossible to know the exact location of something. As you write "this light interferes with the observation of the particle, therefore, humans with their mathematics and light measuring device cannot determine the position and momentum of the particle simultaneously. Therefore, because something in the universe cannot be predicted precisely, inherent randomness is shown, and indeterminism is proven to some degree."

This then has major implications on the micro level but maybe not on the macro. So the HUP should not really affect determinism in the philosophical sense.


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LoveNotHate
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31 Jan 2014, 10:40 pm

wcoltd wrote:
How does information travel from one place to another?


Physics says "information" travels by wave-particle duality (sometimes waves, sometimes particles) at the quantum level ( http://en.wikipedia.org/wiki/Wave%E2%80 ... le_duality )

wcoltd wrote:
Is it possible to construct a method other than using photons to gather information regarding both the position and momentum of a particle.


I would like to know. It seems not.

Quote:
I think it's Heisenberg's hypothesis (it may be proven I don't know) that even if you developed some other system, one that was minimally obstructive it would still be unable to determine both position and momentum precisely.


Nope. HSU does not prove that.

There is a related concept of the "wave function collapse" ( http://en.wikipedia.org/wiki/Wave_function_collapse ) However, for this thread I am just arguing the HSU

Quote:
Perhaps it doesn't tell us anything at all about whether things are deterministic or indeterminate, perhaps it tells us something about what it means to observe something.


Insightful! Yes.



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31 Jan 2014, 10:46 pm

Heisenberg wrote:
The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa.

If the position of a particle is determined for span of time that is zero, there is no change of time to measure a change of position (distance).

Velocity = Change in Distance / Change in Time

If Change in Time = 0, then Velocity is undefined, but you know exactly where that particle is. Since momentum is the product of the mass of a particle multiplied by its velocity, then the momentum is also undefined : : The position is known, but the momentum is unknown.



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31 Jan 2014, 10:56 pm

DentArthurDent wrote:
Well as I understand it the Heisneberg Uncertainty Principal simply shows that we may never have a unified theory as so far it seems impossible to know the exact location of something.


It is possible to know the location of something. HSU shows that per the "observer" light source affecting the particle, then the particle position and momentum cannot be known simultaneously and precisely. However, the position can be known with precision singularity, or the momentum can be known with precision singularity.

DentArthurDent wrote:
As you write "this light interferes with the observation of the particle, therefore, humans with their mathematics and light measuring device cannot determine the position and momentum of the particle simultaneously. Therefore, because something in the universe cannot be predicted precisely, inherent randomness is shown, and indeterminism is proven to some degree."
This then has major implications on the micro level but maybe not on the macro. So the HUP should not really affect determinism in the philosophical sense.


Quantum mechanics applies to the macro world too.

However, the uncertainty is so small that it is unnoticeable.



DentArthurDent
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31 Jan 2014, 11:03 pm

LoveNotHate wrote:
DentArthurDent wrote:
Well as I understand it the Heisneberg Uncertainty Principal simply shows that we may never have a unified theory as so far it seems impossible to know the exact location of something.


It is possible to know the location of something. HSU shows that per the "observer" light source affecting the particle, then the particle position and momentum cannot be known simultaneously and precisely. However, the position can be known with precision singularity, or the momentum can be known with precision singularity.


Am I correct though in my understanding that the HSU is a major stumbling block in forming a unified theory?

As you point out the HSU whilst present in the macro world is so small as to be insignificant. This is kind of what I was getting at when I said it should have no bearing on determinism.


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31 Jan 2014, 11:13 pm

DentArthurDent wrote:
LoveNotHate wrote:
DentArthurDent wrote:
Well as I understand it the Heisneberg Uncertainty Principal simply shows that we may never have a unified theory as so far it seems impossible to know the exact location of something.


It is possible to know the location of something. HSU shows that per the "observer" light source affecting the particle, then the particle position and momentum cannot be known simultaneously and precisely. However, the position can be known with precision singularity, or the momentum can be known with precision singularity.


Am I correct though in my understanding that the HSU is a major stumbling block in forming a unified theory?



"Unified Theory" of what ?

Unified Field Theory ?
http://en.wikipedia.org/wiki/Unified_field_theory

I am trying to stay on topic per the HSU in this discussion.

Quote:
As you point out the HSU whilst present in the macro world is so small as to be insignificant. This is kind of what I was getting at when I said it should have no bearing on determinism.


The degree of impact is not relevant to the determination of determinism.

If randomness i.e., "uncertainty" exists, then the universe is not deterministic. Even a tiny amount of randomness is enough to show indeterminism.



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31 Jan 2014, 11:35 pm

That is what I originally thought and I can fully see how it works in physics but when discussing determinism from a philosophical perspective and the notion of free will I fail to see how this applies. Taking the notion of free will down to the particle level seems unnecessary as the ability for this to affect the day to day life of a person is very negligible. We often use equations that are approximations, the most notable is Newton's law of universal gravitation. It is not perfect but works well for day to day needs. Why then should it be that because we cannot simultaneously know the position and momentum of a subatomic particle, free will wins the day.


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fibonaccispiral777
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01 Feb 2014, 5:22 am

I was always under the impression the Heinsenberg's uncertainty principle does not randomness and complete chaos but rather shows an order that cannot be known since our senses are limited to knowing one quality of a particle, while sacrificing our knowledge of another? Thus, by knowing the position of a particle, we therefore cannot know its momentum since by observing the particle in the hope of knowing the position of it, we have affected the momentum of it. This surely does not mean however that the momentum does not exist nor does it imply that it is a form of disorder or chaos but rather it does exist and is a pattern that we just cannot perceive. I have often thought that people were wrong to say that Quantum Physics was a form of chaos since it might be a form of order that we just cannot comprehend.



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01 Feb 2014, 6:00 am

fibonaccispiral777 wrote:
I was always under the impression the Heinsenberg's uncertainty principle does not randomness and complete chaos but rather shows an order that cannot be known since our senses are limited to knowing one quality of a particle, while sacrificing our knowledge of another? Thus, by knowing the position of a particle, we therefore cannot know its momentum


The HSU states:

-the more precisely your know the position of a particle, then the less accurate you know the momentum of the particle
-and the more precisely you know the momentum of a particle, then the less accurate you know the position of the particle

Quote:
since by observing the particle in the hope of knowing the position of it, we have affected the momentum of it.


Correct. The observation causes the uncertainty. The observation as shown above is gamma waves that are used to "observe" i.e., "detect" the particle.
However, the gama waves impart some momentum to the particle as they bounce off the particle to observe it. The imparted momentum is the basis for the HSU.

fibonaccispiral777 wrote:
This surely does not mean however that the momentum does not exist nor does it imply that it is a form of disorder or chaos but rather it does exist and is a pattern that we just cannot perceive. I have often thought that people were wrong to say that Quantum Physics was a form of chaos since it might be a form of order that we just cannot comprehend.


The momentum exists. The rest of what you state is speculation that may be true.



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01 Feb 2014, 6:24 am

DentArthurDent wrote:
That is what I originally thought and I can fully see how it works in physics but when discussing determinism from a philosophical perspective and the notion of free will I fail to see how this applies. Taking the notion of free will down to the particle level seems unnecessary as the ability for this to affect the day to day life of a person is very negligible.


I agree. However, the physicist in the video thinks it does, and a physicist here made the argument that Heisenberg Uncertainty Principal proves indeterminism.

I will have to wait to see their arguments.

Quote:
We often use equations that are approximations, the most notable is Newton's law of universal gravitation. It is not perfect but works well for day to day needs. Why then should it be that because we cannot simultaneously know the position and momentum of a subatomic particle, free will wins the day.


The principal states:

-the more precisely your know the position of a particle, then the less accurate you know the momentum of the particle
-and the more precisely you know the momentum of a particle, then the less accurate you know the position of the particle

I agree. It does not seem to be relevant to the question of determinism.



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01 Feb 2014, 6:32 am

The confusing this I find in relation to Free Will is however you tend to look at it, there doesn't seem to be any whatsoever. If we look at the world from an Newtonian world-view in which everything is clockwork and thus can be per-determined, then any decision we make is the product of various already per-decided variables in the brain- chemical changes, neurons firing at one another. However, if say that Quantum Physics contradicts Newtonian Physics and thus we may still have free-will, we do not have it either since we then just become slaves to randomness, uncertainty and particles popping into existence. Thus, no matter where you turn there always seem to be some fallacy in the notion of free-will. Unless one's consciousness creates the quantum activity that then defines the brain in circular, self-perpetuating fashion.



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01 Feb 2014, 7:31 am

Ahem...

1. The Uncertainty Principle is an observed characteristic of physical prediction. It is (by definition) epistemological in character. A related ontological subject is the Observer Effect.
2. Quantum Indeterminacy is an observed characteristic of physical prediction. Whether it is physical reality or not is discussed here: Comparions of Interpretations
3. Free Will is a unobserved claim about physical reality postulating the existence of effects ("will") with no causes ("free"). If part of physical reality, Free Will would violate the First Law of Thermodynamics. If not part of physical reality, then Free Will has as much place in science as my imaginary imaginary friend back in Kindergarden (I didn't have one, but I just imagined that I did, hence the double adjective).
4. Free Willy is a 1993 movie.

Anyway, the relationship between these core concepts of physics and the theory of Free Will is adequately described in the following section from a ground-breaking scientific article:

"Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity" wrote:
Here my aim is to carry these deep analyses one step farther, by taking account of recent developments in quantum gravity: the emerging branch of physics in which Heisenberg's quantum mechanics and Einstein's general relativity are at once synthesized and superseded. In quantum gravity, as we shall see, the space-time manifold ceases to exist as an objective physical reality; geometry becomes relational and contextual; and the foundational conceptual categories of prior science -- among them, existence itself -- become problematized and relativized. This conceptual revolution, I will argue, has profound implications for the content of a future postmodern and liberatory science.

Source:
Sokal, Allan D. (1996) - "Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity" - Social Text, #46-47, pp-217-252, Spring/Summer 1996



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01 Feb 2014, 10:25 am

GGPViper wrote:
Ahem...

1. The Uncertainty Principle is an observed characteristic of physical prediction. It is (by definition) epistemological in character. A related ontological subject is the Observer Effect.
2. Quantum Indeterminacy is an observed characteristic of physical prediction. Whether it is physical reality or not is discussed here: Comparions of Interpretations
3. Free Will is a unobserved claim about physical reality postulating the existence of effects ("will") with no causes ("free"). If part of physical reality, Free Will would violate the First Law of Thermodynamics. If not part of physical reality, then Free Will has as much place in science as my imaginary imaginary friend back in Kindergarden (I didn't have one, but I just imagined that I did, hence the double adjective).
4. Free Willy is a 1993 movie.

Anyway, the relationship between these core concepts of physics and the theory of Free Will is adequately described in the following section from a ground-breaking scientific article:

"Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity" wrote:
Here my aim is to carry these deep analyses one step farther, by taking account of recent developments in quantum gravity: the emerging branch of physics in which Heisenberg's quantum mechanics and Einstein's general relativity are at once synthesized and superseded. In quantum gravity, as we shall see, the space-time manifold ceases to exist as an objective physical reality; geometry becomes relational and contextual; and the foundational conceptual categories of prior science -- among them, existence itself -- become problematized and relativized. This conceptual revolution, I will argue, has profound implications for the content of a future postmodern and liberatory science.

Source:
Sokal, Allan D. (1996) - "Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity" - Social Text, #46-47, pp-217-252, Spring/Summer 1996


Man, that was the best trolling I've ever seen! lol

Anyway, there are mathematical formulations of quantum mechanics that are inherently deterministic, but which lose another important property: locality. Meaning that, how a particle behaves depends on the whole universe, which probably violates Einstein's relativity principle that the speed of light is the maximum speed possible. I find the uncertainty principle such an abomination that I don't mind losing locality.



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01 Feb 2014, 10:57 am

I have a single atom of hydrogen and I know it's position that its within say a nanometer radius of an atom, and that its net momentum over a period like a second must be pretty close to zero. TAKE THAT HEISENBERG!