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2022-09-28: Why Is 1/137 One of the Greatest Unsolved Problems In Physics?

  • 11:33: ... force, Planck's Constant is the relationship  between the uncertainty in measuring position and ...

2022-09-14: Could the Higgs Boson Lead Us to Dark Matter?

  • 09:19: ... if we just looked at the total momentum, there’d be a lot of uncertainty due to the fact that there’s variation in the speed of the colliding ...

2022-06-01: What If Physics IS NOT Describing Reality?

  • 02:44: ... components also have weird properties like   fundamental uncertainty in their values  and strange correlations between ...
  • 04:05: ... like quantum indeterminacy, entanglement, and the   uncertainty principle turn out to be the expected  behaviors of this sort of ...
  • 08:49: ... to some other staples of quantum theory  - like the Heisenberg uncertainty principle.   In a previous episode we saw how the ...
  • 09:26: ... tools of information theory   we can derive an even tighter uncertainty relation  - something known as entropic uncertainty.   ...
  • 10:02: ... by  a team of physicists in 2014.   They applied entropic uncertainty to analyze  Wheeler’s “delayed-choice” experiment. This   ...
  • 10:33: ... the notion of entropic  uncertainty to the situation,   the team said that the wavefunction ...
  • 04:05: ... like quantum indeterminacy, entanglement, and the   uncertainty principle turn out to be the expected  behaviors of this sort of information ...
  • 08:49: ... to some other staples of quantum theory  - like the Heisenberg uncertainty principle.   In a previous episode we saw how the uncertainty  principle arises ...
  • 09:26: ... tools of information theory   we can derive an even tighter uncertainty relation  - something known as entropic uncertainty.   This approach ...
  • 08:49: ... uncertainty principle.   In a previous episode we saw how the uncertainty  principle arises from the limited knowledge that   we can ...
  • 09:26: ... all the information from a system.   The resulting “entropic uncertainty”  has been used to explain one of the   original and most ...
  • 08:49: ... uncertainty principle.   In a previous episode we saw how the uncertainty  principle arises from the limited knowledge that   we can extract from a ...
  • 09:26: ... an even tighter uncertainty relation  - something known as entropic uncertainty.   This approach uses the informational definition  of entropy - ...

2022-04-20: Does the Universe Create Itself?

  • 05:56: ... But remember I said that the quantum world appears to live in a state of uncertainty until it’s ...

2022-02-16: Is The Wave Function The Building Block of Reality?

  • 13:19: ... Ben Dimock who’s supporting us at the Big Bang Level. Ben there are many uncertainties in the world of physics. Is the wave function objectively real? Or is it ...

2021-12-10: 2021 End of Year AMA!

  • 00:02: ... perfectly defined momentum and as we know from the heisenberg uncertainty principle if a particle has perfectly defined position perfectly ...

2021-10-13: New Results in Quantum Tunneling vs. The Speed of Light

  • 02:31: The key to the escape is quantum uncertainty.

2021-08-18: How Vacuum Decay Would Destroy The Universe

  • 04:42: ... Heisenberg uncertainty principle tells  us that there’s a fundamental ...

2021-07-07: Electrons DO NOT Spin

  • 10:51: And by Heisenberg's uncertainty principle   increasing your knowledge of one, means  increasing the unknowability of the other.

2021-06-23: How Quantum Entanglement Creates Entropy

  • 17:55: ... Heisenberg microscope to measure position, I said that the uncertainty in the final momentum of   the particle is roughly equal to ...

2021-06-16: Can Space Be Infinitely Divided?

  • 03:14: ... you know the speed of light. But that distance measure has an uncertainty because   you can only clock the instant of the return ...
  • 03:47: ... how the momentum transfer will happen,   you’ll always have an uncertainty in the  particle’s final momentum that’s roughly equal   ...
  • 04:49: ... experiment the Heisenberg microscope. We now know that the uncertainty principle is far more   fundamental than just the effect of ...
  • 05:08: ... point I want to focus on today is that through the uncertainty principle we see that the Planck   constant represents the ...
  • 06:02: ... field changes the distance to the object, adding a new uncertainty to the ...
  • 06:39: ... one last dip into the math to see how big this uncertainty is. Space is stretched   by a factor equal to the effective ...
  • 07:10: ... reducing its wavelength also reduces the regular Heisenberg uncertainty, but at the same time this   new uncertainty increases. You’re ...
  • 08:37: ... that volume down as much as possible.   But the Heisenberg uncertainty principle says  that when we do that we increase the ...
  • 03:14: ... you know the speed of light. But that distance measure has an uncertainty because   you can only clock the instant of the return to within one ...
  • 07:10: ... new uncertainty increases. You’re still winning the uncertainty game - up to a point. When the   wavelength of the photon reaches ...
  • 05:08: ... even infinite precision - as long as  we’re happy to have infinite uncertainty in   momentum. But it turns out that the Planck constant defines a new ...
  • 03:47: ... where this is going - we’re about to discover   the Heisenberg uncertainty principle. Bare  with me though with just a touch of ...
  • 04:49: ... experiment the Heisenberg microscope. We now know that the uncertainty principle is far more   fundamental than just the effect of disturbing ...
  • 05:08: ... point I want to focus on today is that through the uncertainty principle we see that the Planck   constant represents the limit to ...
  • 08:37: ... that volume down as much as possible.   But the Heisenberg uncertainty principle says  that when we do that we increase the uncertainty   ...
  • 03:47: ... where this is going - we’re about to discover   the Heisenberg uncertainty principle. Bare  with me though with just a touch of ...
  • 08:37: ... that volume down as much as possible.   But the Heisenberg uncertainty principle says  that when we do that we increase the uncertainty   in momentum ...
  • 07:10: ... of the photon reaches exactly the Planck length these two uncertainty terms become   the same, and any further decrease in ...
  • 04:30: ... momentum of the measured object,   and replace wavelength with uncertainty  in its position. Rearrange and voila,   Heisenberg. Or close ...
  • 08:37: ... uncertainty principle says  that when we do that we increase the uncertainty   in momentum of that bundle of electron-ness. That also means ...
  • 11:26: ... at least for any   intuitive conception of space. Quantum uncertainty thwarts our attempt to understand the universe   by simply splitting ...

2021-05-25: What If (Tiny) Black Holes Are Everywhere?

  • 11:17: ... not aliens yet, and then the one on how to mess with the limits of the uncertainty principle in detecting gravitational ...
  • 13:36: ... onto the episode where we looked at how the Heisenberg uncertainty principle can be gamed to improve measurements - in particular in ...
  • 15:08: ... of you criticized our title from last week - we called it “Breaking the Uncertainty Principle”, but you rightly - if pedantically - pointed out that it ...
  • 11:17: ... not aliens yet, and then the one on how to mess with the limits of the uncertainty principle in detecting gravitational ...
  • 13:36: ... onto the episode where we looked at how the Heisenberg uncertainty principle can be gamed to improve measurements - in particular in gravitational ...
  • 15:08: ... of you criticized our title from last week - we called it “Breaking the Uncertainty Principle”, but you rightly - if pedantically - pointed out that it should have been ...

2021-05-19: Breaking The Heisenberg Uncertainty Principle

  • 00:07: And in some cases succeeding, by squeezing the Heisenberg uncertainty principle to its breaking point.
  • 00:47: ... against the absolute quantum limit - the limit defined by the Heisenberg Uncertainty ...
  • 01:05: Today we’re going to see how the uncertainty principle can be hacked to make measurements more precisely than should ever be possible.
  • 01:13: ... Heisenberg uncertainty principle tells us that there exists a fundamental unknowability to ...
  • 01:41: ... we call these pairs of properties complementary variables, and the uncertainty principle tells us that the uncertainties in our knowledge of such a ...
  • 01:58: Werner Heisenberg discovered the uncertainty principle when he was inventing his version of quantum mechanics back in the 1920s.
  • 02:05: That version is called matrix mechanics, but we get the same uncertainty principle using the wave mechanics of Schrodinger.
  • 02:13: ... to think about it - so to get an idea of the fundamental source of the uncertainty principle, you can watch our episode on how it comes about from thinking ...
  • 02:37: ... give the particle a momentum kick, which would account for a greater uncertainty in its momentum after the ...
  • 02:47: ... photon, which would kick the object even harder, causing an even greater uncertainty in the ...
  • 02:56: Basically, he thought the uncertainty principle arose as a result of the measurement disturbing the system.
  • 03:13: He thought the uncertainty principle was hinting at a far more fundamental law of the universe.
  • 04:10: The Heisenberg uncertainty principle prevents us from being able to know everything about a quantum state all at once.
  • 04:23: Remember, the uncertainty principle places a lower limit on the product of the uncertainties of pairs of complementary properties.
  • 04:40: That’s not as easy as it sounds - normal quantum states tend to share the uncertainty between complementary partners fairly evenly.
  • 04:47: ... that enable us to manipulate quantum states to push the limits of the uncertainty ...
  • 06:21: And this is where the uncertainty principle comes in.
  • 06:24: Because there’s always an inherent uncertainty in any quantity, the phases of the two beams never really perfectly match up.
  • 06:53: Unless we can hack the uncertainty principle.
  • 07:07: To improve our ability to detect faint gravitational waves we need to reduce the uncertainty in the phase of the laser beams.
  • 07:20: But we don’t care so much about uncertainty in the amplitude.
  • 07:25: ... light from a laser beam obeys the Heisenberg uncertainty principle in a very specific way—it has equal amounts of uncertainty in ...
  • 07:35: ... area of the circle is proportional to Planck’s constant, satisfying the uncertainty ...
  • 07:55: By playing quantum tricks on the light, we can squeeze the uncertainty in one direction at the cost of greater uncertainty in the other.
  • 08:03: ... phase space, this amounts to a shrinking of the uncertainty in one dimension, and a corresponding stretching in the opposite ...
  • 08:16: Light in which uncertainty has been manipulated in this way is called squeezed light.
  • 08:22: In the case of LIGO, the phase of the light is squeezed - its precision increased - at the expense of increased uncertainty in amplitude.
  • 09:26: ... always a price - you pay for the improved phase precision with more uncertainty in the number of photons traveling in your laser ...
  • 09:43: But that noise is less of a problem than the phase uncertainty, at least for the higher frequency gravitational waves.
  • 09:50: There is always a price, but the price is worth it if you invest your uncertainty in the right place.
  • 10:17: ... willing to bend a few fundamental laws - in this case, the Heisenberg uncertainty principle - we can push the limit beyond what we thought possible to ...
  • 00:07: And in some cases succeeding, by squeezing the Heisenberg uncertainty principle to its breaking point.
  • 00:47: ... against the absolute quantum limit - the limit defined by the Heisenberg Uncertainty Principle. ...
  • 01:05: Today we’re going to see how the uncertainty principle can be hacked to make measurements more precisely than should ever be possible.
  • 01:13: ... Heisenberg uncertainty principle tells us that there exists a fundamental unknowability to nature - an ...
  • 01:41: ... we call these pairs of properties complementary variables, and the uncertainty principle tells us that the uncertainties in our knowledge of such a pair, when ...
  • 01:58: Werner Heisenberg discovered the uncertainty principle when he was inventing his version of quantum mechanics back in the 1920s.
  • 02:05: That version is called matrix mechanics, but we get the same uncertainty principle using the wave mechanics of Schrodinger.
  • 02:13: ... to think about it - so to get an idea of the fundamental source of the uncertainty principle, you can watch our episode on how it comes about from thinking about ...
  • 02:56: Basically, he thought the uncertainty principle arose as a result of the measurement disturbing the system.
  • 03:13: He thought the uncertainty principle was hinting at a far more fundamental law of the universe.
  • 04:10: The Heisenberg uncertainty principle prevents us from being able to know everything about a quantum state all at once.
  • 04:23: Remember, the uncertainty principle places a lower limit on the product of the uncertainties of pairs of complementary properties.
  • 04:47: ... that enable us to manipulate quantum states to push the limits of the uncertainty principle. ...
  • 06:21: And this is where the uncertainty principle comes in.
  • 06:53: Unless we can hack the uncertainty principle.
  • 07:25: ... light from a laser beam obeys the Heisenberg uncertainty principle in a very specific way—it has equal amounts of uncertainty in its two ...
  • 07:35: ... area of the circle is proportional to Planck’s constant, satisfying the uncertainty principle. ...
  • 10:17: ... willing to bend a few fundamental laws - in this case, the Heisenberg uncertainty principle - we can push the limit beyond what we thought possible to force ever ...
  • 02:56: Basically, he thought the uncertainty principle arose as a result of the measurement disturbing the system.
  • 04:23: Remember, the uncertainty principle places a lower limit on the product of the uncertainties of pairs of complementary properties.
  • 04:10: The Heisenberg uncertainty principle prevents us from being able to know everything about a quantum state all at once.
  • 01:13: ... Heisenberg uncertainty principle tells us that there exists a fundamental unknowability to nature - an absolute ...
  • 01:41: ... we call these pairs of properties complementary variables, and the uncertainty principle tells us that the uncertainties in our knowledge of such a pair, when ...

2021-04-21: The NEW Warp Drive Possibilities

  • 17:32: ... but now But now I see it’s an ancient viking metaphor for the Heisenberg uncertainty ...

2021-03-16: The NEW Crisis in Cosmology

  • 04:42: ... not worry about the weird units right now. But they also claim an uncertainty of   about half a percent, making it the most ...
  • 10:40: ... far we’ve only done this with a small number of lenses and so the uncertainty is large - but published results give a Hubble constant in the low ...
  • 04:42: ... not worry about the weird units right now. But they also claim an uncertainty of   about half a percent, making it the most precise measurement of the ...

2021-02-24: Does Time Cause Gravity?

  • 07:11: ... occupies only a single, perfectly defined position in space - quantum uncertainty means that everything is always at multiple places at once, and so ...

2020-12-15: The Supernova At The End of Time

  • 08:14: Suddenly it’ll find itself one row over - teleported due to fundamental quantum uncertainty in its position.

2020-11-11: Can Free Will be Saved in a Deterministic Universe?

  • 08:05: ... is a direct consequence of the Heisenberg uncertainty principle, which tells us that measuring one property perfectly leaves a ...

2020-11-04: Electroweak Theory and the Origin of the Fundamental Forces

  • 03:48: ... with massive force carriers is usually attributed to the energy-time uncertainty relation, and we’ve presented it that way ...

2020-10-20: Is The Future Predetermined By Quantum Mechanics?

  • 04:15: At least as far as the Heisenberg Uncertainty Principle allows.

2020-05-27: Does Gravity Require Extra Dimensions?

  • 09:34: The meticulous care paid off—Cavendish measured a gravitational constant that agrees with our modern value, with 1% uncertainty.

2020-04-22: Will Wormholes Allow Fast Interstellar Travel?

  • 12:51: ... of spacetime may fluctuate wildly, its form shifting due to Heisenberg’s uncertainty principle. The result is what we call the spacetime foam, and it may ...

2020-01-06: How To Detect a Neutrino

  • 04:46: ... sort of cheats energy conservation by taking advantage of the Heisenberg uncertainty principle, ♪ ♪ which tells us that there's a fundamental uncertainty ♪ ♪ ...

2019-12-17: Do Black Holes Create New Universes?

  • 10:33: Now perhaps the extra .17 can be factored into the uncertainties of the theory...

2019-12-02: Is The Universe Finite?

  • 04:46: ... was consistent with being zero - flat - but there’s always a degree of uncertainty due to the imperfect nature of any ...
  • 09:19: ... universe would look like a positively curved universe just due to random uncertainties. ...

2019-10-15: Loop Quantum Gravity Explained

  • 03:54: Certain properties have an in-built uncertainty and only take concrete values after measurement.

2019-10-07: Black Hole Harmonics

  • 10:29: They do – at least within the uncertainties of the experiment.

2019-08-06: What Caused the Big Bang?

  • 08:29: ... to randomly fluctuate to different values, thanks to the Heisenberg uncertainty ...

2019-05-09: Why Quantum Computing Requires Quantum Cryptography

  • 04:21: Each highlights a different fundamental weirdness of quantum mechanics – the Heisenberg uncertainty principle and quantum entanglement.
  • 04:38: ... uncertainty principle tells us that we cannot simultaneously know the values of ...
  • 06:37: You just switched between different quantum representations of reality and then back again, and so invoked the uncertainty principle.
  • 04:21: Each highlights a different fundamental weirdness of quantum mechanics – the Heisenberg uncertainty principle and quantum entanglement.
  • 04:38: ... uncertainty principle tells us that we cannot simultaneously know the values of certain pairs ...
  • 06:37: You just switched between different quantum representations of reality and then back again, and so invoked the uncertainty principle.
  • 04:38: ... uncertainty principle tells us that we cannot simultaneously know the values of certain pairs of ...

2019-03-06: The Impossibility of Perpetual Motion Machines

  • 06:55: Due to the intrinsic quantum randomness of all particles, as expressed by the Heisenberg uncertainty principle, everything moves.

2019-01-24: The Crisis in Cosmology

  • 03:42: But this calculation involves assumptions and uncertainties.
  • 04:07: With each step on the ladder, uncertainties compound.
  • 04:10: Add this to our uncertainties in the behavior and observation of Cepheids themselves,...
  • 05:51: ...kilometers per second per megaparsec That 2%-ish uncertainty...
  • 05:55: ...is a hell of a lot better than the old factor of 2 uncertainty.
  • 10:53: First: there are unknown systematic sources of uncertainty...
  • 12:44: Perhaps the uncertainties will be refined, and the two results will converge.

2018-11-07: Why String Theory is Right

  • 06:05: ... into wave equations with various quantum weirdness added in like the uncertainty relation between certain ...

2018-10-31: Are Virtual Particles A New Layer of Reality?

  • 07:29: The Heisenberg uncertainty principle tells us that the perfectly defined momenta of virtual particles means completely undefined position.
  • 09:20: ... mechanics, nothing can be so exact-- thanks, again, to the Heisenberg uncertainty ...
  • 10:21: Regarding its particle content, it remains in a steady state of uncertainty.
  • 07:29: The Heisenberg uncertainty principle tells us that the perfectly defined momenta of virtual particles means completely undefined position.
  • 09:20: ... mechanics, nothing can be so exact-- thanks, again, to the Heisenberg uncertainty principle. ...
  • 07:29: The Heisenberg uncertainty principle tells us that the perfectly defined momenta of virtual particles means completely undefined position.

2018-09-20: Quantum Gravity and the Hardest Problem in Physics

  • 05:50: The Heisenberg uncertainty principle tells us the minimum energy of our beam for a given precision.
  • 06:28: Steady viewers will remember that the uncertainty principle talks about the trade-off between position and momentum.
  • 06:37: The uncertainty principle also defines the precision trade-off between time and energy.
  • 06:54: For those of you who already watched our episode on the Heisenberg uncertainty principle, here's another way to think about this.
  • 05:50: The Heisenberg uncertainty principle tells us the minimum energy of our beam for a given precision.
  • 06:28: Steady viewers will remember that the uncertainty principle talks about the trade-off between position and momentum.
  • 06:37: The uncertainty principle also defines the precision trade-off between time and energy.
  • 06:54: For those of you who already watched our episode on the Heisenberg uncertainty principle, here's another way to think about this.
  • 06:28: Steady viewers will remember that the uncertainty principle talks about the trade-off between position and momentum.
  • 05:50: The Heisenberg uncertainty principle tells us the minimum energy of our beam for a given precision.

2018-08-23: How Will the Universe End?

  • 16:09: In practice, the Heisenberg uncertainty principle makes this impossible.

2018-08-15: Quantum Theory's Most Incredible Prediction

  • 10:54: Electron spin axes are always slightly misaligned with an external magnetic field, due to quantum uncertainty in the spin direction.

2018-07-25: Reversing Entropy with Maxwell's Demon

  • 10:01: In a sense, it's a measure of the uncertainty of the event.
  • 10:16: There are more potential outcomes in the former, so more uncertainty has been eliminated when the die is cast.

2018-05-23: Why Quantum Information is Never Destroyed

  • 07:58: But all of this talk of quantum mechanics being deterministic seems a bit at odds with the idea of quantum randomness and the uncertainty principle.
  • 08:18: And the precision of the knowability of that value is defined by the uncertainty principle.
  • 07:58: But all of this talk of quantum mechanics being deterministic seems a bit at odds with the idea of quantum randomness and the uncertainty principle.
  • 08:18: And the precision of the knowability of that value is defined by the uncertainty principle.

2018-03-28: The Andromeda-Milky Way Collision

  • 04:51: Even taking uncertainties into account, Andromeda is racing towards us much faster than it's moving to the side.

2018-03-15: Hawking Radiation

  • 03:14: They fluctuate in energy due to quantum uncertainty.
  • 09:00: And they tell us that there is an enormous quantum uncertainty in the location of these particles.
  • 10:29: The common thread is quantum uncertainty.
  • 10:32: ... example, uncertainty in position or momentum can lead to particle pairs that we'll want in ...
  • 10:43: Alternatively, uncertainty in energy can lead to particle creation.

2018-01-10: What Do Stars Sound Like?

  • 05:05: We've spoken in depth about Fourier analysis in a recent episode on understanding the uncertainty principle, so I won't go to too much detail here.

2017-12-13: The Origin of 'Oumuamua, Our First Interstellar Visitor

  • 10:36: Well we generalize frequency as momentum because the Heisenberg uncertainty principle applies to momentum in general.
  • 10:42: In the case of matter, uncertainty in momentum can manifest in both velocity and mass.
  • 10:50: So that uncertainty is all in their frequency.
  • 11:03: ... in the location of the photon passing through the slit, we increase the uncertainty in its momentum and hence, its direction of motion after it exits the ...
  • 10:36: Well we generalize frequency as momentum because the Heisenberg uncertainty principle applies to momentum in general.

2017-12-06: Understanding the Uncertainty Principle with Quantum Fourier Series

  • 00:16: ... wave is going to open the door to really understanding Heisenberg's uncertainty principle, and ultimately, quantum fields and Hawking ...
  • 00:28: [MUSIC PLAYING] One of the most difficult ideas to swallow in quantum mechanics is Werner Heisenberg's famous uncertainty principle.
  • 00:49: See, the apparent weirdness of the uncertainty principle hints at an even weirder underlying reality that gives rise to it.
  • 01:31: But as you'll see today, in that unraveling, we are led unavoidably to Heisenberg's uncertainty principle.
  • 01:40: The uncertainty principle is most often expressed in terms of position and momentum.
  • 01:51: Try to perfectly nail down a particle's position, and we have complete uncertainty about its momentum.
  • 02:06: The uncertainty principle exists alongside this observer effect.
  • 02:16: To understand the origin of the uncertainty principle, we don't need to know any quantum mechanics, at least not to start with.
  • 02:29: However, it turns out that something like the uncertainty principle arises in any wave mechanics.
  • 05:41: That sounds an awful lot like a frequency-time uncertainty principle for sound waves.
  • 05:47: ... about the fundamental knowability of a sound wave, as is Heisenberg's uncertainty principle, it's more a statement about the sampling of frequencies ...
  • 07:41: And of course, this means that position and momentum have the same kind of uncertainty relation that time and frequency had in the sound wave.
  • 09:22: ... the position of a particle by narrowing the slit, we also increase the uncertainty of its momentum as it passes the ...
  • 09:40: So that's exactly the uncertainty principle.
  • 10:06: Precision in one is actually constructed by the uncertainty in the other.
  • 10:45: The uncertainty principle, therefore, tells us that they must be completely unconstrained in position.
  • 11:59: ... series, "Quantum Mechanics," which includes a great episode on the uncertainty ...
  • 00:16: ... wave is going to open the door to really understanding Heisenberg's uncertainty principle, and ultimately, quantum fields and Hawking ...
  • 00:28: [MUSIC PLAYING] One of the most difficult ideas to swallow in quantum mechanics is Werner Heisenberg's famous uncertainty principle.
  • 00:49: See, the apparent weirdness of the uncertainty principle hints at an even weirder underlying reality that gives rise to it.
  • 01:31: But as you'll see today, in that unraveling, we are led unavoidably to Heisenberg's uncertainty principle.
  • 01:40: The uncertainty principle is most often expressed in terms of position and momentum.
  • 02:06: The uncertainty principle exists alongside this observer effect.
  • 02:16: To understand the origin of the uncertainty principle, we don't need to know any quantum mechanics, at least not to start with.
  • 02:29: However, it turns out that something like the uncertainty principle arises in any wave mechanics.
  • 05:41: That sounds an awful lot like a frequency-time uncertainty principle for sound waves.
  • 05:47: ... about the fundamental knowability of a sound wave, as is Heisenberg's uncertainty principle, it's more a statement about the sampling of frequencies needed to ...
  • 09:40: So that's exactly the uncertainty principle.
  • 10:45: The uncertainty principle, therefore, tells us that they must be completely unconstrained in position.
  • 11:59: ... series, "Quantum Mechanics," which includes a great episode on the uncertainty principle. ...
  • 02:29: However, it turns out that something like the uncertainty principle arises in any wave mechanics.
  • 02:06: The uncertainty principle exists alongside this observer effect.
  • 00:49: See, the apparent weirdness of the uncertainty principle hints at an even weirder underlying reality that gives rise to it.
  • 07:41: And of course, this means that position and momentum have the same kind of uncertainty relation that time and frequency had in the sound wave.

2017-11-02: The Vacuum Catastrophe

  • 00:44: We saw in our recent episode that we can thank the Heisenberg uncertainty principle for this bizarre behavior.
  • 01:55: ... satisfy the Heisenberg uncertainty principle, the vacuum state of any fuel oscillation must be half of the ...
  • 00:44: We saw in our recent episode that we can thank the Heisenberg uncertainty principle for this bizarre behavior.
  • 01:55: ... satisfy the Heisenberg uncertainty principle, the vacuum state of any fuel oscillation must be half of the tiny Planck ...

2017-10-25: The Missing Mass Mystery

  • 12:09: The energy is borrowed from the energy of the vacuum for the minuscule time allowed by the uncertainty principle.

2017-10-19: The Nature of Nothing

  • 01:09: ... perfectly defined, and this is impossible according to the Heisenberg uncertainty ...
  • 03:34: But here we run up against that pesky Heisenberg's uncertainty principle once again.
  • 05:33: But the ultimate price is that virtual particles can exist only for the instant allowed by the Heisenberg uncertainty principle.
  • 01:09: ... perfectly defined, and this is impossible according to the Heisenberg uncertainty principle. ...
  • 03:34: But here we run up against that pesky Heisenberg's uncertainty principle once again.
  • 05:33: But the ultimate price is that virtual particles can exist only for the instant allowed by the Heisenberg uncertainty principle.

2017-10-11: Absolute Cold

  • 05:04: The Heisenberg Uncertainty Principle tells us that there is an absolute limit in the knowability of particular combinations of properties.
  • 06:21: For example, the quantum fields that fill our universe also fluctuate due to the Uncertainty Principle resulting in what we know as vacuum energy.
  • 07:24: For example, Brian Greene's Exploring Quantum History delves much more deeply into the Heisenberg Uncertainty Principle.
  • 05:04: The Heisenberg Uncertainty Principle tells us that there is an absolute limit in the knowability of particular combinations of properties.
  • 06:21: For example, the quantum fields that fill our universe also fluctuate due to the Uncertainty Principle resulting in what we know as vacuum energy.
  • 07:24: For example, Brian Greene's Exploring Quantum History delves much more deeply into the Heisenberg Uncertainty Principle.
  • 05:04: The Heisenberg Uncertainty Principle tells us that there is an absolute limit in the knowability of particular combinations of properties.

2017-07-07: Feynman's Infinite Quantum Paths

  • 00:36: The Heisenberg uncertainty principle tells us that the more precisely we try to define one property, the less definable is its counterpart.

2016-12-08: What Happens at the Event Horizon?

  • 15:42: This uncertainty leads to the range of potential future trajectories, including trajectories through one slit or the other.
  • 15:51: More generally, it allows pilot wave theory to agree with Heisenberg's uncertainty principle.
  • 15:57: In the Copenhagen interpretation, the uncertainty principle describes the intrinsic randomness of the quantum world.
  • 16:05: ... Broglie-Bohm pilot wave theory states that this uncertainty just arises from our imperfect knowledge and that the universe itself ...
  • 15:42: This uncertainty leads to the range of potential future trajectories, including trajectories through one slit or the other.
  • 15:51: More generally, it allows pilot wave theory to agree with Heisenberg's uncertainty principle.
  • 15:57: In the Copenhagen interpretation, the uncertainty principle describes the intrinsic randomness of the quantum world.

2016-11-09: Did Dark Energy Just Disappear?

  • 04:32: ... repeated this experiment many, many times, about 0.27% of the time the uncertainties, so the messiness in the data, would cause a universe with no dark energy ...

2016-09-21: Quantum Entanglement and the Great Bohr-Einstein Debate

  • 03:30: And yet we refrain from measuring these properties to preserve quantum uncertainty.

2016-06-29: Nuclear Physics Challenge

  • 00:31: One consequence of this uncertainty in position is the phenomenon of quantum tunneling.

2016-06-22: Planck's Constant and The Origin of Quantum Mechanics

  • 01:14: As your distance to the tortoise becomes unthinkably small, there arises a quantum uncertainty in your location.
  • 01:35: ... and more formally, the Heisenberg uncertainty principle, describes the smallest distance for which an object's ...
  • 02:12: ... Heisenberg uncertainty principle and the de Broglie wavelength, but also the Schrodinger ...
  • 01:35: ... and more formally, the Heisenberg uncertainty principle, describes the smallest distance for which an object's location can be ...
  • 02:12: ... Heisenberg uncertainty principle and the de Broglie wavelength, but also the Schrodinger equation, the ...
  • 01:35: ... and more formally, the Heisenberg uncertainty principle, describes the smallest distance for which an object's location can be meaningfully ...

2016-06-01: Is Quantum Tunneling Faster than Light?

  • 01:19: For now, let's just look at the strange consequences of quantum uncertainty in an object's location.
  • 08:26: That uncertainty in location allows tunneling.
  • 08:30: But even without a barrier, this location fuzziness leads to uncertainty in the arrival time of the photon.
  • 08:59: This can look like an increase in the speed of light, but only within the uncertainty range defined by the de Broglie wavelength.
  • 09:07: ... accurately, it's within the uncertainty range defined by the Heisenberg uncertainty principle, which is perhaps ...
  • 09:28: But in the quantum realm, Heisenberg uncertainty does seem to allow instantaneous motion, and even perhaps causality violation within quantum limits.
  • 09:07: ... accurately, it's within the uncertainty range defined by the Heisenberg uncertainty principle, which is perhaps the deeper principle from which the de Broglie ...
  • 08:59: This can look like an increase in the speed of light, but only within the uncertainty range defined by the de Broglie wavelength.
  • 09:07: ... accurately, it's within the uncertainty range defined by the Heisenberg uncertainty principle, which is perhaps the ...
  • 08:59: This can look like an increase in the speed of light, but only within the uncertainty range defined by the de Broglie wavelength.
  • 09:07: ... accurately, it's within the uncertainty range defined by the Heisenberg uncertainty principle, which is perhaps the deeper ...

2016-02-24: Why the Big Bang Definitely Happened

  • 09:28: A theory may still have parts that aren't so well established, but such uncertainties don't invalidate the overall picture.

2015-12-09: How to Build a Black Hole

  • 03:15: ... of quantum theory, the Pauli exclusion principle and the Heisenberg uncertainty ...
  • 05:10: The Heisenberg uncertainty principle tells us that the properties of a quantum entity are fundamentally uncertain.
  • 06:04: ... Heisenberg uncertainty principle tells us that particular pairs of quantities, position and ...
  • 06:32: Therefore, the Heisenberg uncertainty principle tells us that they must have highly undefined momenta.
  • 03:15: ... of quantum theory, the Pauli exclusion principle and the Heisenberg uncertainty principle. ...
  • 05:10: The Heisenberg uncertainty principle tells us that the properties of a quantum entity are fundamentally uncertain.
  • 06:04: ... Heisenberg uncertainty principle tells us that particular pairs of quantities, position and momentum or ...
  • 06:32: Therefore, the Heisenberg uncertainty principle tells us that they must have highly undefined momenta.
  • 05:10: The Heisenberg uncertainty principle tells us that the properties of a quantum entity are fundamentally uncertain.
  • 06:04: ... Heisenberg uncertainty principle tells us that particular pairs of quantities, position and momentum or time ...
  • 06:32: Therefore, the Heisenberg uncertainty principle tells us that they must have highly undefined momenta.

2015-11-18: 5 Ways to Stop a Killer Asteroid

  • 06:26: The real trick is getting politicians to agree to something that involves scientific uncertainty and long term thinking.

2015-09-30: What Happens At The Edge Of The Universe?

  • 06:21: It's very possible that the universe has curvature just inside the uncertainty range of the best measurements to date.

2015-05-06: Should the First Mars Mission Be All Women?

  • 01:45: ... vision is a pretty critical faculty on a Mars mission, and given the uncertainty about underlying causes, this might be a major checkmark in the pro-all ...
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