Why is there a time-energy uncertainty relation when time is not an operator in Quantum Mechanics? | AskScience Blog

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Wednesday, November 14, 2018

Why is there a time-energy uncertainty relation when time is not an operator in Quantum Mechanics?

Why is there a time-energy uncertainty relation when time is not an operator in Quantum Mechanics?


Why is there a time-energy uncertainty relation when time is not an operator in Quantum Mechanics?

Posted: 13 Nov 2018 10:58 PM PST

The Heisenberg Uncertainty Principle is based on the property of the commutators of two Hermitian operators. But time is not an operator in Quantum Mechanics, so what gives? How fundamental is this relation? Where does it come from and what does it mean?

submitted by /u/lAPPYc
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If there is an infinite amount of natural numbers, and one is chosen at random, mathematically the probability of choosing that number should be 0. Why can the number still be chosen?

Posted: 13 Nov 2018 01:57 PM PST

It seems fairly reasonable that the probability cannot be 0, as if you were to sum up all the probabilities, you have to get one as a result, while the sum 0 + 0 + 0 + ... + 0 + 0 (with an infinite amount of zeros) can never have any other value than 0.

But, the probability of choosing a specific number should be 1/(amount of natural numbers), which is 0, since the amount of natural numbers is infinite. Is it something about how the limit of 1/x for x -> infinity works, or am I missing something else entirely?

submitted by /u/Scutman
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How are satellite orientated in space?

Posted: 14 Nov 2018 12:39 AM PST

If down is relative to the ground for us how is positioning treated in space?

submitted by /u/Biboomer97
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Ask Anything Wednesday - Physics, Astronomy, Earth and Planetary Science

Posted: 14 Nov 2018 07:11 AM PST

Welcome to our weekly feature, Ask Anything Wednesday - this week we are focusing on Physics, Astronomy, Earth and Planetary Science

Do you have a question within these topics you weren't sure was worth submitting? Is something a bit too speculative for a typical /r/AskScience post? No question is too big or small for AAW. In this thread you can ask any science-related question! Things like: "What would happen if...", "How will the future...", "If all the rules for 'X' were different...", "Why does my...".

Asking Questions:

Please post your question as a top-level response to this, and our team of panellists will be here to answer and discuss your questions.

The other topic areas will appear in future Ask Anything Wednesdays, so if you have other questions not covered by this weeks theme please either hold on to it until those topics come around, or go and post over in our sister subreddit /r/AskScienceDiscussion , where every day is Ask Anything Wednesday! Off-theme questions in this post will be removed to try and keep the thread a manageable size for both our readers and panellists.

Answering Questions:

Please only answer a posted question if you are an expert in the field. The full guidelines for posting responses in AskScience can be found here. In short, this is a moderated subreddit, and responses which do not meet our quality guidelines will be removed. Remember, peer reviewed sources are always appreciated, and anecdotes are absolutely not appropriate. In general if your answer begins with 'I think', or 'I've heard', then it's not suitable for /r/AskScience.

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Past AskAnythingWednesday posts can be found here.

Ask away!

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How do we measure the temperature of stars and quasars up to 100,000,000°? How do we know it's that hot?

Posted: 13 Nov 2018 05:53 PM PST

How does a high pass filter (RC) still pass high frequencies when actively charged to input voltage by the DC component?

Posted: 14 Nov 2018 06:26 AM PST

I have an understanding of why capacitors block DC and pass AC but i don't fully understand how this works with a mixed signal input on a parallel plate capacitor, AC is passed due to low plate charge accumulation but with a mixed signal the plate should remain charged and block AC too, can anyone help me to understand this?

submitted by /u/OnAPaleNarwhal
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How do 17 year life cycle cicadas "keep track" of the year count to know when to emerge?

Posted: 14 Nov 2018 05:59 AM PST

How do cell regeneration rates vary among animals? Would it take a dog longer than a cat or human to replace most of the cells in its body?

Posted: 13 Nov 2018 07:22 PM PST

Can the CBD part of cannabis influence your reaction time?

Posted: 14 Nov 2018 01:26 AM PST

Hello, I've been reading up on some of the functions of the endocannabinoid system, but I haven't found anything on all of the internet having to do something with CBD? I find plenty of experiments or scientific works talking about the influence of THC and it's effects, while with CBD I only find things such as it's healing effects and nothing about reaction time, nothing with the endocannabinoid system about reaction time either.

Excuse my grammar, simply an article would also be of great help :)

submitted by /u/darthvale
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Besides preventing fires, what impacts do fire retardants dropped from planes onto wildfires have on the environment?

Posted: 13 Nov 2018 02:56 PM PST

In California right now, fire planes are dropping fire retardants to help manage the wildfire burns. Obviously, one impact this has on the environment is minimizing the amount of fire.

What other environmental impacts are there? Does it hurt or help animals or plants, air or soil?

*I added "chemistry" flair since it's a chemical, but I imagine this involves other areas too...

submitted by /u/forcedguy
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Why do epithelial cells line the outsides of organs that never experience external stimuli?

Posted: 13 Nov 2018 05:43 PM PST

Why are some cells called endothelial and some epithelial? I read that epithelial cells are cell that cover outsides of the organs and body. Lot of organs never experience the external stimuli yet they have epithelial tissue. Is my understanding of epithelial tissue wrong or is there more to it?

submitted by /u/karrablaster123
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If I were to throw or shoot something downwards at a velocity greater than its terminal velocity, would it decelerate until it reached the terminal?

Posted: 13 Nov 2018 03:58 PM PST

How does an extended release pill work?

Posted: 13 Nov 2018 04:27 PM PST

For example I'm on a pill that is 100mg ER, so is the pill 100mg and it just gives you small amount over a certain time, or is the pill alot more, and gives you a constant 100mg in your system?

submitted by /u/bigz3012
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How are old films restored?

Posted: 13 Nov 2018 02:27 PM PST

I just saw a thing about a documentary being restored from WWII in colour, and it made me wonder how exactly they do that?

Edit: not sure if that's the right tag but I'm just curious about this...

submitted by /u/toy_machine21
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How come there is no motion blur in google street view photos?

Posted: 13 Nov 2018 02:12 PM PST

So i was just going down some random highway on Google Street View and started thinking about if the car had to stay under a certain speed to get a good quality photo and then I realized that none of the photos were blurry even though the pictures were taken at or above 50mph. this may be a very simple trick that most photographers know but I don't know very much about cameras so its something that I'm unable to figure out.

submitted by /u/fourkcchiefs
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Why are some medicines more bioavailable than others before or after a meal?

Posted: 13 Nov 2018 05:43 PM PST

What does it mean to "burn out a motor," exactly?

Posted: 13 Nov 2018 07:32 AM PST

I have an ice cream maker and the manual has several warnings about not letting it run for too long. In particular, I'm not supposed to let the ice cream freeze to the point where it stops the mixing blade from moving since this will cause damage to the motor.

So today I've done that, and there's strong burnt smell coming off of it now. Very distinct. It still seems to work, but I'm wondering how much damage I've done.

submitted by /u/PM_your_cats_n_racks
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creating better water pressure with a siphon?

Posted: 13 Nov 2018 08:54 AM PST

It seems crazy that this isn't something that's done regularly, so I bet it won't work, but:

in an attempt to get more water pressure through a pipe/hose than would happen if the hose is hooked to the bottom outlet of a tank, what if I were to create a siphon, but put the siphon hose way up high? As though the side of the tank were at the max (10 meters). Would the water coming out the hose, just slightly below the floor of the tank have MORE pressure than it would if it was just flowing out? That is, would the drop in height from the 2nd half of the hose create more PSI?

Practical scenario: a tank just slightly above a house that needs good pressure. hang a hose a couple stories up in a tree, create a siphon. would the house get better water pressure?

submitted by /u/Tyssniffen
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Where did all the dirt on top of dinosaur fossils come from?

Posted: 13 Nov 2018 03:10 PM PST

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