Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Peter Monta
Hi Tom,



 Based on mass and radius, a clock here on Earth ticks about 6.969e-10
 slower than it would at infinity. The correction drops roughly as 1/R below
 sea level and 1/R² above sea level. For practical and historical reasons we
 define the SI second at sea level.


Yes, the change in clock rate at sea level is about 1e-18 per centimeter,
and the geoid is known only to about 1 centimeter uncertainty at best.


 The non-local gravity perturbations you speak of are 2nd or 3rd order and
 so you probably don't need to worry about them. Then again, if you want to
 get picky, it's easy to compute how much the earth recoils when you stand
 up vs. sit down. So it's best to avoid the notion of arbitrary precision;
 that's for mathematicians. For normal people, including scientists, we know
 that precision and accuracy have practical limits.


Let me rephrase what I'm after.  The geoidal uncertainty sets a hard limit
on clock comparison performance on the Earth's surface (for widely-spaced
clocks).  At some point, as Chris Albertson noted, the clocks will measure
the potential and not the other way around.  (It should be possible to
express this geoidal uncertainty as an Allan variance and include it in
graphs with the legend Earth surface performance limit.)

What I'm curious about is this:  what are the limits on clocks in more
benign environments?  How predictable is the potential in LEO, GEO,
Earth-Sun L2, solar orbit at 1.5 AU, solar orbit at 100 AU, etc.?  I
imagine the latter few are probably very, very good, because the tidal
terms get extremely small, but how good?

Suppose a clock dropped into our laps with 1e-21 performance, just to pick
a number.  Where would we put it to fully realize its quality (and permit
comparisons with its friends)?  And is the current IAU framework adequate
to define things at this level (or any other arbitrarily-picked level)?
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Bob Bownes
You people are evil. Now you have me wondering where I can get a microgram
level accurate scale. Simply tracking the weight of a 'constant' (anyone
got a silicon sphere with exactly 1 mole of Si atoms in it? :)) over time
would be an interesting experiment.


As a geologist, I also have to say, that while we know the geoid to ~1cm,
it is ~1cm at the time it was measured, which is constantly changing. The
obvious tidal effects, as well as internal heating effects (and I suspect
external heating effects), continental drift (both long term events and
short term events like earthquakes), currents in the molten layers,
probably magnetic effects all are going to contribute to geoid uncertainty.

I really do need to spin the seismograph back up.



On Tue, Nov 4, 2014 at 2:04 PM, Peter Monta pmo...@gmail.com wrote:

 Hi Tom,



  Based on mass and radius, a clock here on Earth ticks about 6.969e-10
  slower than it would at infinity. The correction drops roughly as 1/R
 below
  sea level and 1/R² above sea level. For practical and historical reasons
 we
  define the SI second at sea level.
 

 Yes, the change in clock rate at sea level is about 1e-18 per centimeter,
 and the geoid is known only to about 1 centimeter uncertainty at best.


  The non-local gravity perturbations you speak of are 2nd or 3rd order and
  so you probably don't need to worry about them. Then again, if you want
 to
  get picky, it's easy to compute how much the earth recoils when you stand
  up vs. sit down. So it's best to avoid the notion of arbitrary
 precision;
  that's for mathematicians. For normal people, including scientists, we
 know
  that precision and accuracy have practical limits.
 

 Let me rephrase what I'm after.  The geoidal uncertainty sets a hard limit
 on clock comparison performance on the Earth's surface (for widely-spaced
 clocks).  At some point, as Chris Albertson noted, the clocks will measure
 the potential and not the other way around.  (It should be possible to
 express this geoidal uncertainty as an Allan variance and include it in
 graphs with the legend Earth surface performance limit.)

 What I'm curious about is this:  what are the limits on clocks in more
 benign environments?  How predictable is the potential in LEO, GEO,
 Earth-Sun L2, solar orbit at 1.5 AU, solar orbit at 100 AU, etc.?  I
 imagine the latter few are probably very, very good, because the tidal
 terms get extremely small, but how good?

 Suppose a clock dropped into our laps with 1e-21 performance, just to pick
 a number.  Where would we put it to fully realize its quality (and permit
 comparisons with its friends)?  And is the current IAU framework adequate
 to define things at this level (or any other arbitrarily-picked level)?
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Hal Murray

pmo...@gmail.com said:
 Let me rephrase what I'm after.  The geoidal uncertainty sets a hard limit
 on clock comparison performance on the Earth's surface (for widely-spaced
 clocks).  At some point, as Chris Albertson noted, the clocks will measure
 the potential and not the other way around.

Old news... :)

Time Too Good to Be True, Daniel Kleppner
Physics Today, March 2006, page 10
  http://scitation.aip.org/journals/doc/PHTOAD-ft/vol_59/iss_3/10_1.shtml




-- 
These are my opinions.  I hate spam.



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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Magnus Danielson

I wish I could take the credit for being evil here, but no.

What the natural consequence is that every atomic clock of this type 
should have a gravitational sensor that compensates for gravitational 
shift, as it now has become a frequency shift component. The first 
degree compensation should not be too shabby.


Cheers,
Magnus

On 11/04/2014 08:27 PM, Bob Bownes wrote:

You people are evil. Now you have me wondering where I can get a microgram
level accurate scale. Simply tracking the weight of a 'constant' (anyone
got a silicon sphere with exactly 1 mole of Si atoms in it? :)) over time
would be an interesting experiment.


As a geologist, I also have to say, that while we know the geoid to ~1cm,
it is ~1cm at the time it was measured, which is constantly changing. The
obvious tidal effects, as well as internal heating effects (and I suspect
external heating effects), continental drift (both long term events and
short term events like earthquakes), currents in the molten layers,
probably magnetic effects all are going to contribute to geoid uncertainty.

I really do need to spin the seismograph back up.



On Tue, Nov 4, 2014 at 2:04 PM, Peter Monta pmo...@gmail.com wrote:


Hi Tom,




Based on mass and radius, a clock here on Earth ticks about 6.969e-10
slower than it would at infinity. The correction drops roughly as 1/R

below

sea level and 1/R² above sea level. For practical and historical reasons

we

define the SI second at sea level.



Yes, the change in clock rate at sea level is about 1e-18 per centimeter,
and the geoid is known only to about 1 centimeter uncertainty at best.



The non-local gravity perturbations you speak of are 2nd or 3rd order and
so you probably don't need to worry about them. Then again, if you want

to

get picky, it's easy to compute how much the earth recoils when you stand
up vs. sit down. So it's best to avoid the notion of arbitrary

precision;

that's for mathematicians. For normal people, including scientists, we

know

that precision and accuracy have practical limits.



Let me rephrase what I'm after.  The geoidal uncertainty sets a hard limit
on clock comparison performance on the Earth's surface (for widely-spaced
clocks).  At some point, as Chris Albertson noted, the clocks will measure
the potential and not the other way around.  (It should be possible to
express this geoidal uncertainty as an Allan variance and include it in
graphs with the legend Earth surface performance limit.)

What I'm curious about is this:  what are the limits on clocks in more
benign environments?  How predictable is the potential in LEO, GEO,
Earth-Sun L2, solar orbit at 1.5 AU, solar orbit at 100 AU, etc.?  I
imagine the latter few are probably very, very good, because the tidal
terms get extremely small, but how good?

Suppose a clock dropped into our laps with 1e-21 performance, just to pick
a number.  Where would we put it to fully realize its quality (and permit
comparisons with its friends)?  And is the current IAU framework adequate
to define things at this level (or any other arbitrarily-picked level)?
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Attila Kinali
On Mon, 3 Nov 2014 11:54:41 -0800
Peter Monta pmo...@gmail.com wrote:

 Sorry if this is a bit off-topic.  I'd like a simple, clear explanation for
 the layman that drills down on exactly how the current definitional scheme
 can be realized to arbitrary precision.  For example, assume that we must
 go off-earth at some point to get a better timescale.  How fuzzy is the
 solar potential (soloid)?

It will be done as usual: As soon as they can reliably measure an systematic
effect that is impossible to cancel out, they will redefine or ammend the
definition of the second to account for this issue.

And going by the presentations given at EFTF this year, there is quite
some interest in precision gravity measurements in the time/frequency
community. And yes, they use the same basic phyiscs as their atomic clocks :-)
(one apporach is to let Cs atoms fall down a tube and measure their
acceleration using doppler shift of the hyperfine transitions line)

Attila Kinali

-- 
I pity people who can't find laughter or at least some bit of amusement in
the little doings of the day. I believe I could find something ridiculous
even in the saddest moment, if necessary. It has nothing to do with being
superficial. It's a matter of joy in life.
-- Sophie Scholl
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Bob Bownes
But won't the doppler effect change as the Cs atoms fall down the gravity
well? :)


On Tue, Nov 4, 2014 at 3:14 PM, Attila Kinali att...@kinali.ch wrote:

 On Mon, 3 Nov 2014 11:54:41 -0800
 Peter Monta pmo...@gmail.com wrote:

  Sorry if this is a bit off-topic.  I'd like a simple, clear explanation
 for
  the layman that drills down on exactly how the current definitional
 scheme
  can be realized to arbitrary precision.  For example, assume that we must
  go off-earth at some point to get a better timescale.  How fuzzy is the
  solar potential (soloid)?

 It will be done as usual: As soon as they can reliably measure an
 systematic
 effect that is impossible to cancel out, they will redefine or ammend the
 definition of the second to account for this issue.

 And going by the presentations given at EFTF this year, there is quite
 some interest in precision gravity measurements in the time/frequency
 community. And yes, they use the same basic phyiscs as their atomic clocks
 :-)
 (one apporach is to let Cs atoms fall down a tube and measure their
 acceleration using doppler shift of the hyperfine transitions line)

 Attila Kinali

 --
 I pity people who can't find laughter or at least some bit of amusement in
 the little doings of the day. I believe I could find something ridiculous
 even in the saddest moment, if necessary. It has nothing to do with being
 superficial. It's a matter of joy in life.
 -- Sophie Scholl
 ___
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Attila Kinali
On Tue, 4 Nov 2014 11:04:58 -0800
Peter Monta pmo...@gmail.com wrote:

 Let me rephrase what I'm after.  The geoidal uncertainty sets a hard limit
 on clock comparison performance on the Earth's surface (for widely-spaced
 clocks).  At some point, as Chris Albertson noted, the clocks will measure
 the potential and not the other way around.  (It should be possible to
 express this geoidal uncertainty as an Allan variance and include it in
 graphs with the legend Earth surface performance limit.)

Actually, currently the limit of clock comparison is not the geoid
uncertainties, but the comparison itself. Common view GPS does not
cut it at all. TWSTFT might be enough, if more second/third order
effects are compensated for and the orbit is measured with a higher
precision [1,2]. For short distances (up to 1000km or so), temperature
and delay-variation compensated fibers seem to be the way to go [3,4].

Also, frequency transfer down to very low numbers seems to be easier
(depending on system and distance in the range of 1e-12 to 1e-16)
than accurate time transfer (around a couple 100ps seems to be the limit
for any non-trival distance, at the moment)


[1] Two-way Satellite Time and Frequency Transfer:Overview, Recent
Developments and Application, by Wu et al, 2014

[2] Practical Evaluation of Relativistic Effects in Two-Way
Satellite Time and Frequency Transfer, by Shemar, Delva, Lamb, 2014

[3] Optical Frequency Transfer with a 1284 km Coherent Fiber Link,
by Calonico et al, 2014

[4] Novel Techniques for Optical Fiber Links beyond Current Practice,
by Calosso et al, 2014

And these are just a few of the presentation given at EFTF this year
on that topic. 

Attila Kinali



-- 
I pity people who can't find laughter or at least some bit of amusement in
the little doings of the day. I believe I could find something ridiculous
even in the saddest moment, if necessary. It has nothing to do with being
superficial. It's a matter of joy in life.
-- Sophie Scholl
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Re: [time-nuts] NPR Story I heard this morning

2014-11-04 Thread Lester Veenstra
And you can get a I climbed Mt. Washington sticker for your clock. 


Lester B Veenstra  MØYCM K1YCM W8YCM
les...@veenstras.com

US Postal Address:
5 Shrine Club Drive
HC84 Box 89C
Keyser WV 26726
GPS: 39.336826 N  78.982287 W (Google)
GPS: 39.33682 N  78.9823741 W (GPSDO)


Telephones:
Home: +1-304-289-6057
US cell+1-304-790-9192 
UK cell+44-(0)7849-248-749 
Guam Cell:  +1-671-929-8141
Jamaica: +1-876-456-8898 
 
This e-mail and any documents attached hereto contain confidential or
privileged information. The information is intended to be for use only by the 
individual or entity to whom they are addressed. If you are not the intended 
recipient or the person responsible for delivering the e-mail to the intended 
recipient, be aware that any disclosure, copying, distribution or use of the 
contents of this e-mail or any documents attached hereto is prohibited.


-Original Message-
From: time-nuts [mailto:time-nuts-boun...@febo.com] On Behalf Of David McGaw
Sent: Monday, November 03, 2014 4:07 PM
To: Discussion of precise time and frequency measurement
Subject: Re: [time-nuts] NPR Story I heard this morning

The highest accessible peak in the Adirondacks I think would be 
Whiteface at 4,867 ft, though that would be by ski lift and not all the 
way to the top.  The highest point accessible by car in the Northeast 
would be Mt. Washington here in New Hampshire at 6288 ft.  Hmm...

David


On 11/3/14 1:02 PM, Hal Murray wrote:
 x...@darksmile.net  said:
 I was planning a similar trip from Astoria Queens, NYC which is sea level,
 to Adirondack Mountains, upstate New York.
 You will need clocks that are better than Tom's.  :)

 He parked at 5,000 feet.  Do any roads go that high in the Adirondacks?  How
 high can you park?

 What's the efficiency of the generator in a parked car compared to a portable
 generator?  What's the right unit?  kilo-watt-hours per gallon?  How does a
 normal car compare to a hybrid?




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[time-nuts] NPR Story I heard this morning

2014-11-04 Thread Arthur Dent
Lester Veenstra lester at veenstras.com Tue Nov 4 16:56:29 EST 2014 wrote:

And you can get a I climbed Mt. Washington sticker for your clock.
+++

It may be a little OT but I actually worked on the summit for the
Mount Washington Weather Observatory for 4 winters as well as climbing
the mountain both summer and winter over 70 times and I don't have
one of those stickers. :-(

-Arthur
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[time-nuts] NPR Story I heard this morning

2014-11-03 Thread xaos
This morning, as I was driving to work,
I heard this really cool story on NPR radio here in NYC.

This is the link to the story:

http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe

What a nice way to start the week.

Past stories with similar headlines.

http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock

Cheers,

George Hrysanthopoulos, N2FGX

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Chris Albertson
Yes,  A story about time and frequency standards.  They actually used
numbers like 10E16 in the story.  Apparently at that level your clock can
measure a change in elevation of a few centimeters because of the
relativistic effects of the reduced gravity field in just a few cm.

On Mon, Nov 3, 2014 at 6:28 AM, xaos x...@darksmile.net wrote:

 This morning, as I was driving to work,
 I heard this really cool story on NPR radio here in NYC.

 This is the link to the story:


 http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe

 What a nice way to start the week.

 Past stories with similar headlines.


 http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock

 Cheers,

 George Hrysanthopoulos, N2FGX

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-- 

Chris Albertson
Redondo Beach, California
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread xaos
Small correction: The numbers were 10E-16.

One important concept that was discussed was this:
If the next generation clock was even more accurate
(maybe by an order or two), then no two clocks
can ever agree on the time.

Minute changes in gravity and other factors will
always make each clock completely different.

So, to that I said: WOW! Wait just a damn minute.
I got into this so I can tell time precisely. Now I'm back
to to the beginning.

I know I am exaggerating a bit here but still.

-GKH

On 11/03/2014 11:09 AM, Chris Albertson wrote:
 Yes,  A story about time and frequency standards.  They actually used
 numbers like 10E16 in the story.  Apparently at that level your clock can
 measure a change in elevation of a few centimeters because of the
 relativistic effects of the reduced gravity field in just a few cm.

 On Mon, Nov 3, 2014 at 6:28 AM, xaos x...@darksmile.net wrote:

 This morning, as I was driving to work,
 I heard this really cool story on NPR radio here in NYC.

 This is the link to the story:


 http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe

 What a nice way to start the week.

 Past stories with similar headlines.


 http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock

 Cheers,

 George Hrysanthopoulos, N2FGX

 ___
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Bob Stewart
Have you read Tom's story about his family trip up Mount Ranier with a Cesium 
clock?  
Project GREAT: General Relativity Einstein/Essen Anniversary Test

Bob
 From: xaos x...@darksmile.net
 To: time-nuts@febo.com 
 Sent: Monday, November 3, 2014 10:17 AM
 Subject: Re: [time-nuts] NPR Story I heard this morning
   
Small correction: The numbers were 10E-16.

One important concept that was discussed was this:
If the next generation clock was even more accurate
(maybe by an order or two), then no two clocks
can ever agree on the time.

Minute changes in gravity and other factors will
always make each clock completely different.

So, to that I said: WOW! Wait just a damn minute.
I got into this so I can tell time precisely. Now I'm back
to to the beginning.

I know I am exaggerating a bit here but still.

-GKH

  
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread xaos
You know, I was thinking that exact same thing as
the story went on.

The one (important) thing I got from Tom's story
was that kids might like the idea of the trip,
but the details might seem boring. Although,
I'm sure, Tom had a blast.

I was planning a similar trip from Astoria Queens, NYC
which is sea level, to Adirondack Mountains, upstate New York.

Never found enough friends to make it tho :(

-GKH


On 11/03/2014 11:40 AM, Bob Stewart wrote:
 Have you read Tom's story about his family trip up Mount Ranier with a Cesium 
 clock?  
 Project GREAT: General Relativity Einstein/Essen Anniversary Test

 Bob
  From: xaos x...@darksmile.net
  To: time-nuts@febo.com 
  Sent: Monday, November 3, 2014 10:17 AM
  Subject: Re: [time-nuts] NPR Story I heard this morning

 Small correction: The numbers were 10E-16.

 One important concept that was discussed was this:
 If the next generation clock was even more accurate
 (maybe by an order or two), then no two clocks
 can ever agree on the time.

 Minute changes in gravity and other factors will
 always make each clock completely different.

 So, to that I said: WOW! Wait just a damn minute.
 I got into this so I can tell time precisely. Now I'm back
 to to the beginning.

 I know I am exaggerating a bit here but still.

 -GKH

   
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Chris Albertson
On Mon, Nov 3, 2014 at 8:17 AM, xaos x...@darksmile.net wrote:

 Small correction: The numbers were 10E-16.


No I think it was one part in 10E16 ;)   But the interesting thing was
they used numbers rather then saying something like really super ultra
tiny.

But you are right, no two clocks will ever agree at that level because they
will experience different gravitational fields.  At this level the reason
to have a clock is no longer to tell time.  It is to measure the
gravitational field.  With an array of many clocks like these we might be
able to map the density of the interior of the earth or detect black holes
or who knows what.   I think it opens up a new area of observation.  When
ever this happens we discover things we never would have thought of.  Maybe
in 40 years these Strontium oscillators will be mass produced for $2 each.

Does anyone know how much g changes per cm of altitude?  I'm to lazy to
figure it out.



 One important concept that was discussed was this:
 If the next generation clock was even more accurate
 (maybe by an order or two), then no two clocks
 can ever agree on the time.

 Minute changes in gravity and other factors will
 always make each clock completely different.

 So, to that I said: WOW! Wait just a damn minute.
 I got into this so I can tell time precisely. Now I'm back
 to to the beginning.

 I know I am exaggerating a bit here but still.

 -GKH

 On 11/03/2014 11:09 AM, Chris Albertson wrote:
  Yes,  A story about time and frequency standards.  They actually used
  numbers like 10E16 in the story.  Apparently at that level your clock can
  measure a change in elevation of a few centimeters because of the
  relativistic effects of the reduced gravity field in just a few cm.
 
  On Mon, Nov 3, 2014 at 6:28 AM, xaos x...@darksmile.net wrote:
 
  This morning, as I was driving to work,
  I heard this really cool story on NPR radio here in NYC.
 
  This is the link to the story:
 
 
 
 http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe
 
  What a nice way to start the week.
 
  Past stories with similar headlines.
 
 
 
 http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock
 
  Cheers,
 
  George Hrysanthopoulos, N2FGX
 
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  time-nuts mailing list -- time-nuts@febo.com
  To unsubscribe, go to
  https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts
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-- 

Chris Albertson
Redondo Beach, California
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Hal Murray

x...@darksmile.net said:
 I was planning a similar trip from Astoria Queens, NYC which is sea level,
 to Adirondack Mountains, upstate New York. 

You will need clocks that are better than Tom's.  :)

He parked at 5,000 feet.  Do any roads go that high in the Adirondacks?  How 
high can you park?

What's the efficiency of the generator in a parked car compared to a portable 
generator?  What's the right unit?  kilo-watt-hours per gallon?  How does a 
normal car compare to a hybrid?



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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Chris Albertson
In a normal car, bring a generator.  Using a big 6 cyl. engine to drive a
tiny 20 amp alternator is not so good.  And that alternator is not designed
to run 24x7 at full load.The Prius is on the other hand a very good
generator and with some add on equipment can power your house.   The Prius
engine turns itself on and off to keep the large battery charged to you can
take out lots of power with the engine off.  So the engine never runs at an
inefficient speed.   Normal cars are very poor at this because the engine
must run full time.

On Mon, Nov 3, 2014 at 10:02 AM, Hal Murray hmur...@megapathdsl.net wrote:


 x...@darksmile.net said:
  I was planning a similar trip from Astoria Queens, NYC which is sea
 level,
  to Adirondack Mountains, upstate New York.

 You will need clocks that are better than Tom's.  :)

 He parked at 5,000 feet.  Do any roads go that high in the Adirondacks?
 How
 high can you park?

 What's the efficiency of the generator in a parked car compared to a
 portable
 generator?  What's the right unit?  kilo-watt-hours per gallon?  How does a
 normal car compare to a hybrid?



 --
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Redondo Beach, California
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Hal Murray

albertson.ch...@gmail.com said:
 But you are right, no two clocks will ever agree at that level because they
 will experience different gravitational fields.

What if I adjust the elevation (aka gravity) of one of them until it matches? 
 Or at least gets within the resolution and ADEV of the pair?

Suppose you had two super-accurate clocks that were next to each other.  
Would they phase lock?

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread xaos
Why Strontium over Caesium?
Is it because it just sounds more hi-tech ? LOL

Maybe stupid question to most here, but I do
not know the answer.

-GKH
 
On 11/03/2014 12:59 PM, Chris Albertson wrote:
 On Mon, Nov 3, 2014 at 8:17 AM, xaos x...@darksmile.net wrote:

 Small correction: The numbers were 10E-16.

 No I think it was one part in 10E16 ;)   But the interesting thing was
 they used numbers rather then saying something like really super ultra
 tiny.

 But you are right, no two clocks will ever agree at that level because they
 will experience different gravitational fields.  At this level the reason
 to have a clock is no longer to tell time.  It is to measure the
 gravitational field.  With an array of many clocks like these we might be
 able to map the density of the interior of the earth or detect black holes
 or who knows what.   I think it opens up a new area of observation.  When
 ever this happens we discover things we never would have thought of.  Maybe
 in 40 years these Strontium oscillators will be mass produced for $2 each.

 Does anyone know how much g changes per cm of altitude?  I'm to lazy to
 figure it out.



 One important concept that was discussed was this:
 If the next generation clock was even more accurate
 (maybe by an order or two), then no two clocks
 can ever agree on the time.

 Minute changes in gravity and other factors will
 always make each clock completely different.

 So, to that I said: WOW! Wait just a damn minute.
 I got into this so I can tell time precisely. Now I'm back
 to to the beginning.

 I know I am exaggerating a bit here but still.

 -GKH

 On 11/03/2014 11:09 AM, Chris Albertson wrote:
 Yes,  A story about time and frequency standards.  They actually used
 numbers like 10E16 in the story.  Apparently at that level your clock can
 measure a change in elevation of a few centimeters because of the
 relativistic effects of the reduced gravity field in just a few cm.

 On Mon, Nov 3, 2014 at 6:28 AM, xaos x...@darksmile.net wrote:

 This morning, as I was driving to work,
 I heard this really cool story on NPR radio here in NYC.

 This is the link to the story:



 http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe
 What a nice way to start the week.

 Past stories with similar headlines.



 http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock
 Cheers,

 George Hrysanthopoulos, N2FGX

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[time-nuts] NPR Story I heard this morning

2014-11-03 Thread Mark Sims
It's surprisingly large.   I have a scale that can measure 20g down to a 
microgram (and worked on one that can do a gram at nanogram resolution).   
Taking the microgram scale up one floor in a building was easily detectable...  
I don't remember the exact number but it think it was in the 1 ppm/meter range.


Does anyone know how much g changes per cm of altitude?  I'm to lazy to
figure it out 
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[time-nuts] NPR Story I heard this morning

2014-11-03 Thread Mark Sims
Found it on page 17 of Mettler's excellent article: 
Adverse Influences and Their Prevention in Weighing
http://us.mt.com/dam/mt_ext_files/Editorial/Generic/2/Weigh_Uncertain_Number1_0x0003d6750003db6700091746_files/adverse_influences.pdf
It works out to be  -0.3 ppm/meter.


  
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Peter Monta
Chris Albertson writes:




 But you are right, no two clocks will ever agree at that level because they
 will experience different gravitational fields.  At this level the reason
 to have a clock is no longer to tell time.  It is to measure the
 gravitational field.


I have a question about that.  If I understand correctly, recent IAU
resolutions have decoupled the definition of the SI second from the
terrestrial geoid, which is too fuzzy to be used for a definition.  Instead
the geoid potential is held fixed by (or defined by) a constant.  Potential
with respect to what exactly?  At infinity is all very well, but there
are local gravity sources (solar, even galactic) that would seem to
complicate any operational realization of this definition.

Sorry if this is a bit off-topic.  I'd like a simple, clear explanation for
the layman that drills down on exactly how the current definitional scheme
can be realized to arbitrary precision.  For example, assume that we must
go off-earth at some point to get a better timescale.  How fuzzy is the
solar potential (soloid)?

Cheers,
Peter
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Chris Albertson
On Mon, Nov 3, 2014 at 10:15 AM, Hal Murray hmur...@megapathdsl.net wrote:


 albertson.ch...@gmail.com said:
  But you are right, no two clocks will ever agree at that level because
 they
  will experience different gravitational fields.

 What if I adjust the elevation (aka gravity) of one of them until it
 matches?
  Or at least gets within the resolution and ADEV of the pair?


You adjust it but then how long does it stay adjusted.  The Earth, Moon and
Sun are in constant motion.   The gravity field is no static.   OK maybe
you could compute this and place the clocks n moving platforms?  They will
never agree, not at the lowest level.

Here is another question:  Is time a continuous function?  It may not be at
some scale.




 Suppose you had two super-accurate clocks that were next to each other.
 Would they phase lock?

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Redondo Beach, California
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread David McGaw

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tom Van Baak
 Yes,  A story about time and frequency standards.  They actually used
 numbers like 10E16 in the story.  Apparently at that level your clock can
 measure a change in elevation of a few centimeters because of the
 relativistic effects of the reduced gravity field in just a few cm.

Hi Chris,

That's correct. When it comes to frequency standards the official SI second is 
defined only for sea level. We know time and frequency are bent by speed or 
gravity; time is the integral of frequency; and frequency is a function of 
height (h) by approximately gh/c². It's that simple. But it's a very tiny 
effect.

Planet gravity fields decrease quadratically over large distances (1/R²) but 
approximately linearly near the surface. So here on Earth, with g = ~9.8 m/s² 
and c = ~300,000 km/s, frequency increases by about 1e-18/cm, or 1e-16/m, or 
1e-13/km. This is called gravitational time dilation, or blueshift.

Now, for amateurs like us who just make things at home or buy and repair atomic 
clocks on eBay, numbers like 1e-18 and 1e-16 are completely out of range: 
that's what government labs are for. But the 1e-13 number is interesting, and 
approachable -- especially if you live near a tall mountain.

If you take a 1e-14 stable cesium clock up 1 km, it will run fast by about 
1e-13 (in frequency) and thus it will gain about 10 ± 1 ns per day (in time, or 
phase) compared to a clock left down at home. These days, time differences at 
the nanosecond level are easily measurable -- so that's what I did with 
http://leapsecond.com/great2005/

Of course, NIST  USNO always have much better clocks than we do, so they can 
measure the effect of smaller elevation changes, over smaller time scales. Just 
amazing. Maybe we'll be able to buy an optical clock on eBay 20 years from now.

Note that their clocks are not (yet) portable and consequently you can make a 
more accurate gravitational time dilation / general relativity measurement at 
home by taking vintage hp 5071A cesium beam microwave clocks up a tall mountain 
than they can with record-setting strontium optical clocks inside a NIST 
building.

Essentially, if you take a clock to high altitude for a weekend you create a 
super-duper blueshift microscope. Instead of unimaginably small numbers like 
1e-18, I went up about 1340 meters (instead of just 1 cm) and I stayed up there 
about 42 hours (instead of one second). Thus my cm-second magnification 
factor was 1340 * 100 * 42 * 3600 = 20 billion! That reduces a crazy tiny 
number like 1e-18 to a real, tangible, measurable, fun-with-family, DIY time 
dilation number like 2e-8, or 20 ns.

/tvb

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Mike Feher
OK, I am going to show my ignorance now. Being in my 70th year, I forgot an 
awful lot of what I learned in school. 

Anyway, regarding time and gravity, I certainly believe the mathematics of 
Einstein and others, however, I have a hard time believing that man-made 
instruments to measure the effects of gravity on time is valid. For example in 
a Cesium clock, time is a function of the transition time between two hyperfine 
lines of Cesium atoms. So, does gravity affect this transition time within the 
Cesium atoms? It may very well, but, I am not smart enough to know that. Maybe 
someone can help.

Also, when someone mentioned moving a very sensitive scale up in elevation and 
noting the difference due to gravitational effects, also seems odd to me. Seems 
like even in the most sensitive scales, weight is measured as the difference 
between the weighing platform and the body of the instrument. Here again, 
moving the whole assembly up in elevation it would seem to me that gravity 
would affect both the platform and the body, and the relative weight indicated 
should remain the same. What am I missing besides gray matter? Thanks - Mike 

Mike B. Feher, EOZ Inc.
89 Arnold Blvd.
Howell, NJ, 07731
732-886-5960 office
908-902-3831 cell


-Original Message-
From: time-nuts [mailto:time-nuts-boun...@febo.com] On Behalf Of Tom Van Baak
Sent: Monday, November 03, 2014 3:55 PM
To: Discussion of precise time and frequency measurement
Subject: Re: [time-nuts] NPR Story I heard this morning

 Yes,  A story about time and frequency standards.  They actually used 
 numbers like 10E16 in the story.  Apparently at that level your clock 
 can measure a change in elevation of a few centimeters because of the 
 relativistic effects of the reduced gravity field in just a few cm.

Hi Chris,

That's correct. When it comes to frequency standards the official SI second is 
defined only for sea level. We know time and frequency are bent by speed or 
gravity; time is the integral of frequency; and frequency is a function of 
height (h) by approximately gh/c². It's that simple. But it's a very tiny 
effect.

Planet gravity fields decrease quadratically over large distances (1/R²) but 
approximately linearly near the surface. So here on Earth, with g = ~9.8 m/s² 
and c = ~300,000 km/s, frequency increases by about 1e-18/cm, or 1e-16/m, or 
1e-13/km. This is called gravitational time dilation, or blueshift.

Now, for amateurs like us who just make things at home or buy and repair atomic 
clocks on eBay, numbers like 1e-18 and 1e-16 are completely out of range: 
that's what government labs are for. But the 1e-13 number is interesting, and 
approachable -- especially if you live near a tall mountain.

If you take a 1e-14 stable cesium clock up 1 km, it will run fast by about 
1e-13 (in frequency) and thus it will gain about 10 ± 1 ns per day (in time, or 
phase) compared to a clock left down at home. These days, time differences at 
the nanosecond level are easily measurable -- so that's what I did with 
http://leapsecond.com/great2005/

Of course, NIST  USNO always have much better clocks than we do, so they can 
measure the effect of smaller elevation changes, over smaller time scales. Just 
amazing. Maybe we'll be able to buy an optical clock on eBay 20 years from now.

Note that their clocks are not (yet) portable and consequently you can make a 
more accurate gravitational time dilation / general relativity measurement at 
home by taking vintage hp 5071A cesium beam microwave clocks up a tall mountain 
than they can with record-setting strontium optical clocks inside a NIST 
building.

Essentially, if you take a clock to high altitude for a weekend you create a 
super-duper blueshift microscope. Instead of unimaginably small numbers like 
1e-18, I went up about 1340 meters (instead of just 1 cm) and I stayed up there 
about 42 hours (instead of one second). Thus my cm-second magnification 
factor was 1340 * 100 * 42 * 3600 = 20 billion! That reduces a crazy tiny 
number like 1e-18 to a real, tangible, measurable, fun-with-family, DIY time 
dilation number like 2e-8, or 20 ns.

/tvb

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread David McGaw
The highest accessible peak in the Adirondacks I think would be 
Whiteface at 4,867 ft, though that would be by ski lift and not all the 
way to the top.  The highest point accessible by car in the Northeast 
would be Mt. Washington here in New Hampshire at 6288 ft.  Hmm...


David


On 11/3/14 1:02 PM, Hal Murray wrote:

x...@darksmile.net  said:

I was planning a similar trip from Astoria Queens, NYC which is sea level,
to Adirondack Mountains, upstate New York.

You will need clocks that are better than Tom's.  :)

He parked at 5,000 feet.  Do any roads go that high in the Adirondacks?  How
high can you park?

What's the efficiency of the generator in a parked car compared to a portable
generator?  What's the right unit?  kilo-watt-hours per gallon?  How does a
normal car compare to a hybrid?





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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Henry Hallam
On Mon, Nov 3, 2014 at 1:18 PM, Mike Feher mfe...@eozinc.com wrote:
 Anyway, regarding time and gravity, I certainly believe the mathematics of 
 Einstein and others, however, I have a hard time believing that man-made 
 instruments to measure the effects of gravity on time is valid. For example 
 in a Cesium clock, time is a function of the transition time between two 
 hyperfine lines of Cesium atoms. So, does gravity affect this transition time 
 within the Cesium atoms? It may very well, but, I am not smart enough to know 
 that. Maybe someone can help.

This may not be a very satisfactory explanation, but in a nutshell
it's not the atomic transition time that changes with gravitational
potential, but *time itself*.  And remember, it's a *relative* effect
- you can only measure it when you compare two clocks at different
heights, never just by looking at one by itself, no matter how good it
is.

 Also, when someone mentioned moving a very sensitive scale up in elevation 
 and noting the difference due to gravitational effects, also seems odd to me. 
 Seems like even in the most sensitive scales, weight is measured as the 
 difference between the weighing platform and the body of the instrument. Here 
 again, moving the whole assembly up in elevation it would seem to me that 
 gravity would affect both the platform and the body, and the relative weight 
 indicated should remain the same. What am I missing besides gray matter? 
 Thanks - Mike

Weighing scales do not work by measuring the gravitational attraction
between the scale and the object to be measured.  They measure the
attraction between the earth and the object to be measured. When you
go up a hill, you move the apparatus and the object, but not the
earth.

Henry
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tom Van Baak
 I have a question about that.  If I understand correctly, recent IAU
 resolutions have decoupled the definition of the SI second from the
 terrestrial geoid, which is too fuzzy to be used for a definition.  Instead
 the geoid potential is held fixed by (or defined by) a constant.  Potential
 with respect to what exactly?  At infinity is all very well, but there
 are local gravity sources (solar, even galactic) that would seem to
 complicate any operational realization of this definition.
 
 Sorry if this is a bit off-topic.  I'd like a simple, clear explanation for
 the layman that drills down on exactly how the current definitional scheme
 can be realized to arbitrary precision.  For example, assume that we must
 go off-earth at some point to get a better timescale.  How fuzzy is the
 solar potential (soloid)?
 
 Cheers,
 Peter

Hi Peter,

Based on mass and radius, a clock here on Earth ticks about 6.969e-10 slower 
than it would at infinity. The correction drops roughly as 1/R below sea level 
and 1/R² above sea level. For practical and historical reasons we define the SI 
second at sea level.

The non-local gravity perturbations you speak of are 2nd or 3rd order and so 
you probably don't need to worry about them. Then again, if you want to get 
picky, it's easy to compute how much the earth recoils when you stand up vs. 
sit down. So it's best to avoid the notion of arbitrary precision; that's for 
mathematicians. For normal people, including scientists, we know that precision 
and accuracy have practical limits.

The most obvious gravitational perturbation is that of the Moon. You can 
predict, and even measure, that g changes in the 7th decimal place as the moon 
orbits the earth. This is so minor it cannot as yet be measured by the best 
atomic clocks, but it has been measured by the best pendulum clocks (because 
pendulum clock make better gravimeters than atomic clocks). For details, see:
http://leapsecond.com/hsn2006/

Your fuzzy question is good. When error or noise is constant one can simply 
use standard deviation or rms to quantify the amount of fuzz. But when the 
perturbations are not simple and fixed in time you want a statistic that 
incorporates not just accuracy, but stability. For this you need something like 
ADEV and its log-log plots of stability as a function of tau. As an example, 
here is the ADEV of Earth:
http://leapsecond.com/museum/earth/

/tvb
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tom Van Baak
David,

Let's talk. It is not impossible that I could drive my clocks to the East Coast 
for a Mt. Washington experiment.

/tvb

- Original Message - 
From: David McGaw n1...@dartmouth.edu
To: Discussion of precise time and frequency measurement time-nuts@febo.com
Sent: Monday, November 03, 2014 1:07 PM
Subject: Re: [time-nuts] NPR Story I heard this morning


 The highest accessible peak in the Adirondacks I think would be 
 Whiteface at 4,867 ft, though that would be by ski lift and not all the 
 way to the top.  The highest point accessible by car in the Northeast 
 would be Mt. Washington here in New Hampshire at 6288 ft.  Hmm...
 
 David

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Mike S

On 11/3/2014 3:54 PM, Tom Van Baak wrote:

When it comes to frequency standards the official SI second is
defined only for sea level. We know time and frequency are bent by
speed or gravity;


According to the BIPM: At its 1997 meeting the CIPM affirmed that: 
This definition refers to a caesium atom at rest at a temperature of 0 
K. - http://www.bipm.org/en/publications/si-brochure/second.html


Isn't weight equivalent to acceleration, and it's therefore not at 
rest when sitting on a table at sea level?


I don't see anything in the BIPM definition of the second regarding sea 
level.

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Bob Bownes
I'd be happy to volunteer my 5061 for such an experiment! Located in Troy,
N.Y., I can get it down to about 15' ASL, possibly as low as 12' if I go to
the basement in a downtown building. The river is at 13' ASL iirc.


Bob


On Mon, Nov 3, 2014 at 4:53 PM, Tom Van Baak t...@leapsecond.com wrote:

 David,

 Let's talk. It is not impossible that I could drive my clocks to the East
 Coast for a Mt. Washington experiment.

 /tvb

 - Original Message -
 From: David McGaw n1...@dartmouth.edu
 To: Discussion of precise time and frequency measurement 
 time-nuts@febo.com
 Sent: Monday, November 03, 2014 1:07 PM
 Subject: Re: [time-nuts] NPR Story I heard this morning


  The highest accessible peak in the Adirondacks I think would be
  Whiteface at 4,867 ft, though that would be by ski lift and not all the
  way to the top.  The highest point accessible by car in the Northeast
  would be Mt. Washington here in New Hampshire at 6288 ft.  Hmm...
 
  David

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tom Van Baak
 I don't see anything in the BIPM definition of the second regarding sea level.

Hi Mike,

The usual wording for the definition of the SI second also includes the word 
unperturbed. That little word covers a host of physics and engineering 
effects and can keep graduate students busy for years. You either have to 
eliminate them from your clock or your lab, or extra carefully measure then and 
back-out their effects on your clock's operating frequency.

For a really good example of the sort of corrections that are made inside a 
cesium clock see: http://tf.nist.gov/general/pdf/1497.pdf

By the time you read to page 30, you'll see table 3 and 4 which summarize the 
perturbing corrections.

/tvb

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread ken hartman
Not to put too fine a point on it, but my practical understanding is that
any two or more clocks generally do *not* agree (that is - yield identical
phase/frequency information) ever, anyway. So atomic horology - and beyond
- means that we continue to ?adjust? ?compensate? clocks of whatever
stability and accuracy to the current, agreed upon ideal - even as the
ideal may move or evolve.

On Mon, Nov 3, 2014 at 4:27 PM, Tom Van Baak t...@leapsecond.com wrote:

  I don't see anything in the BIPM definition of the second regarding sea
 level.

 Hi Mike,

 The usual wording for the definition of the SI second also includes the
 word unperturbed. That little word covers a host of physics and
 engineering effects and can keep graduate students busy for years. You
 either have to eliminate them from your clock or your lab, or extra
 carefully measure then and back-out their effects on your clock's operating
 frequency.

 For a really good example of the sort of corrections that are made inside
 a cesium clock see: http://tf.nist.gov/general/pdf/1497.pdf

 By the time you read to page 30, you'll see table 3 and 4 which summarize
 the perturbing corrections.

 /tvb

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tom Van Baak
Hi Ken,

That's correct. No two clocks ever agree. If they look like they do, you are 
not looking close enough or not waiting long enough.

That's also why UTC is based on the combined stability of hundreds of clocks. 
The weighted average of many cesium clocks is known to be better than any one 
cesium clock. So a big part of the UTC infrastructure is the inter-comparison 
of clocks all around the world. Another part is then slowly adjusting local 
standards to follow the more accurate global mean.

You'll notice too, that many postings to this list are not just about clocks, 
but also precise time measurement, and about disciplining. Whether UTC at a 
national lab or a GPSDO at home, there is clock, measurement, and gradual 
adjustment.

/tvb
  - Original Message - 
  From: ken hartman 
  To: Tom Van Baak ; Discussion of precise time and frequency measurement 
  Sent: Monday, November 03, 2014 2:52 PM
  Subject: Re: [time-nuts] NPR Story I heard this morning


  Not to put too fine a point on it, but my practical understanding is that any 
two or more clocks generally do *not* agree (that is - yield identical 
phase/frequency information) ever, anyway. So atomic horology - and beyond - 
means that we continue to ?adjust? ?compensate? clocks of whatever stability 
and accuracy to the current, agreed upon ideal - even as the ideal may move 
or evolve.



  On Mon, Nov 3, 2014 at 4:27 PM, Tom Van Baak t...@leapsecond.com wrote:

 I don't see anything in the BIPM definition of the second regarding sea 
level.

Hi Mike,

The usual wording for the definition of the SI second also includes the 
word unperturbed. That little word covers a host of physics and engineering 
effects and can keep graduate students busy for years. You either have to 
eliminate them from your clock or your lab, or extra carefully measure then and 
back-out their effects on your clock's operating frequency.

For a really good example of the sort of corrections that are made inside a 
cesium clock see: http://tf.nist.gov/general/pdf/1497.pdf

By the time you read to page 30, you'll see table 3 and 4 which summarize 
the perturbing corrections.

/tvb
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Magnus Danielson
Because for optical clocks Strontium is better suited than Caesium. 
Caesium was at one time judged as the best suited for atomic beam 
designs, but is not considered the best for fountain clocks, since 
caesium has larger cross-section than rubidium, so the effect of 
collisions becomes larger. For optical clocks strontium and aluminium is 
among several possible choices.


There is nothing magic about caesium, it was just the chosen reference 
at one time. There where actually a better choice from certain aspects, 
but for several reasons judged as harder to design a clock from.


Cheers,
Magnus

On 11/03/2014 07:16 PM, xaos wrote:

Why Strontium over Caesium?
Is it because it just sounds more hi-tech ? LOL

Maybe stupid question to most here, but I do
not know the answer.

-GKH

On 11/03/2014 12:59 PM, Chris Albertson wrote:

On Mon, Nov 3, 2014 at 8:17 AM, xaos x...@darksmile.net wrote:


Small correction: The numbers were 10E-16.


No I think it was one part in 10E16 ;)   But the interesting thing was
they used numbers rather then saying something like really super ultra
tiny.

But you are right, no two clocks will ever agree at that level because they
will experience different gravitational fields.  At this level the reason
to have a clock is no longer to tell time.  It is to measure the
gravitational field.  With an array of many clocks like these we might be
able to map the density of the interior of the earth or detect black holes
or who knows what.   I think it opens up a new area of observation.  When
ever this happens we discover things we never would have thought of.  Maybe
in 40 years these Strontium oscillators will be mass produced for $2 each.

Does anyone know how much g changes per cm of altitude?  I'm to lazy to
figure it out.




One important concept that was discussed was this:
If the next generation clock was even more accurate
(maybe by an order or two), then no two clocks
can ever agree on the time.

Minute changes in gravity and other factors will
always make each clock completely different.

So, to that I said: WOW! Wait just a damn minute.
I got into this so I can tell time precisely. Now I'm back
to to the beginning.

I know I am exaggerating a bit here but still.

-GKH

On 11/03/2014 11:09 AM, Chris Albertson wrote:

Yes,  A story about time and frequency standards.  They actually used
numbers like 10E16 in the story.  Apparently at that level your clock can
measure a change in elevation of a few centimeters because of the
relativistic effects of the reduced gravity field in just a few cm.

On Mon, Nov 3, 2014 at 6:28 AM, xaos x...@darksmile.net wrote:


This morning, as I was driving to work,
I heard this really cool story on NPR radio here in NYC.

This is the link to the story:




http://www.npr.org/2014/11/03/361069820/what-time-is-it-it-depends-where-you-are-in-the-universe

What a nice way to start the week.

Past stories with similar headlines.




http://www.npr.org/2014/01/24/265247930/tickety-tock-an-even-more-accurate-atomic-clock

Cheers,

George Hrysanthopoulos, N2FGX

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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Tim Shoppa
(I noticed earlier in the thread, folks writing 10E-16 when I think they
meant 1E-16, at least based on the Fortran notation I learned a long time
ago. I am living proof, that a good Fortran programmer can write spaghetti
code in any language!)

On time quantization:

Planck Time is 3.59E-44 seconds: http://en.wikipedia.org/wiki/Planck_time

Caldirola's model gives the chronon for the electron to be 6.27E-24
seconds:
http://dinamico2.unibg.it/recami/erasmo%20docs/SomeRecentSCIENTIFICpapers/Chronon(QuantumOfTime)/RRuyAIEP2010Ch2.pdf

On Mon, Nov 3, 2014 at 3:05 PM, Chris Albertson albertson.ch...@gmail.com
wrote:

 On Mon, Nov 3, 2014 at 10:15 AM, Hal Murray hmur...@megapathdsl.net
 wrote:

 
  albertson.ch...@gmail.com said:
   But you are right, no two clocks will ever agree at that level because
  they
   will experience different gravitational fields.
 
  What if I adjust the elevation (aka gravity) of one of them until it
  matches?
   Or at least gets within the resolution and ADEV of the pair?
 

 You adjust it but then how long does it stay adjusted.  The Earth, Moon and
 Sun are in constant motion.   The gravity field is no static.   OK maybe
 you could compute this and place the clocks n moving platforms?  They will
 never agree, not at the lowest level.

 Here is another question:  Is time a continuous function?  It may not be at
 some scale.



 
  Suppose you had two super-accurate clocks that were next to each other.
  Would they phase lock?
 
  --
  These are my opinions.  I hate spam.
 
 
 
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 --

 Chris Albertson
 Redondo Beach, California
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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Jim Lux

On 11/3/14, 1:50 PM, Tom Van Baak wrote:

I have a question about that.  If I understand correctly, recent IAU
resolutions have decoupled the definition of the SI second from the
terrestrial geoid, which is too fuzzy to be used for a definition.  Instead
the geoid potential is held fixed by (or defined by) a constant.  Potential
with respect to what exactly?  At infinity is all very well, but there
are local gravity sources (solar, even galactic) that would seem to
complicate any operational realization of this definition.

Sorry if this is a bit off-topic.  I'd like a simple, clear explanation for
the layman that drills down on exactly how the current definitional scheme
can be realized to arbitrary precision.  For example, assume that we must
go off-earth at some point to get a better timescale.  How fuzzy is the
solar potential (soloid)?

Cheers,
Peter


Hi Peter,

Based on mass and radius, a clock here on Earth ticks about 6.969e-10 slower 
than it would at infinity. The correction drops roughly as 1/R below sea level 
and 1/R² above sea level. For practical and historical reasons we define the SI 
second at sea level.

The non-local gravity perturbations you speak of are 2nd or 3rd order and so you probably 
don't need to worry about them. Then again, if you want to get picky, it's easy to 
compute how much the earth recoils when you stand up vs. sit down. So it's best to avoid 
the notion of arbitrary precision; that's for mathematicians. For normal 
people, including scientists, we know that precision and accuracy have practical limits.

The most obvious gravitational perturbation is that of the Moon. You can 
predict, and even measure, that g changes in the 7th decimal place as the moon 
orbits the earth. This is so minor it cannot as yet be measured by the best 
atomic clocks, but it has been measured by the best pendulum clocks (because 
pendulum clock make better gravimeters than atomic clocks). For details, see:
http://leapsecond.com/hsn2006/




Sun and Moon are of about the same gravity magnitude, and, of course, 
you get approx one cycle/day for both.


Wikipedia says about 2E-6 m/sec^2  (e.g. 7th digit, as Tom said)

Wikipedia also provides some math models for variation with latitude, etc.

Interestingly, they say that the variation among different cities 
amounts to about 0.5% (Anchorage high, Kandy low)



for height..
g(h) = g(0) * (Re/(Re+h))^2

Change of 0.08% for 0 to 9000 meters


Since the period of a pendulum goes as Sqrt(1/g), the sun/moon effect is 
about 1E-7.. Set up a 10 meter long pendulum, which will have a period a 
bit longer than 6 seconds.Set it swinging, and time it for 200 
swings (about 20 minutes) (I think it will run that long if you've got a 
nice heavy bob, etc.) Accurately(!) time that 1200 second interval with 
100 microsecond precision and you might *just* be able to see the effect.


I started down this measurement path in the 70s in high school, but 
encountered several logistics problems.
- big pendulums are subject to environmental effects.  You might do 
better with a shorter pendulum in a vacuum, which would eliminate air 
drag and reduce temperature effects.
- this kind of timing implies that you've got a counter stable to 1E-8 
over the measurement period (notionally 12 hrs)


And at this precision, there's all kinds of other effects one should 
take into account (for instance, the period is only approximately = 
2*pi*sqrt(L/g).. that depends on the sin(theta)=theta small angle 
approximation.


However, i've always wanted to set up a rig where there's one of those 
big Foucault pendulums and see if you can do it.  I suspect the drive 
system on the big ones would perturb the system, but maybe you could do 
an off hours experiment and let it just swing down to zero.


-



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Re: [time-nuts] NPR Story I heard this morning

2014-11-03 Thread Sanjeev Gupta
On Tue, Nov 4, 2014 at 4:28 AM, Tim Shoppa tsho...@gmail.com wrote:

 (I noticed earlier in the thread, folks writing 10E-16 when I think they
 meant 1E-16, at least based on the Fortran notation I learned a long time
 ago. I am living proof, that a good Fortran programmer can write spaghetti
 code in any language!)


Or, like me, be unable to learn any other language again.

Variable names starting from I to N are integers, all others are floats.
How much simpler do you wish to go?

-- 
Sanjeev Gupta
+65 98551208 http://www.linkedin.com/in/ghane
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