Interesting Finding About Pi And Scientific Constants

[theodorenghiem]

Dear all,

 

I explored the value of PI up to 10 million digits with the following link

 

http://pi.karmona.com/

 

From here I realized that it included many scientific constants. Below are some examples (See the string in BOLD)

 

·         85236194426736533892035293381796879434588513096544808259521653348853314258590660527010020998130498690661069867723414515021618033218172517802616380355080061151485165018703481386496623229835504747481403

Where

1.618033  ~ golden ratio to be used in design, painting, and architecture etc.

(Source: http://mathworld.wolfram.com)

·         96685196391413997448756843434713683467684405191628302400411300444463543904105050551088502982716308576980991021240051192505245400533996852921477011645488697170458489815728942231323809045241271828309703

Where

2.71828 ~ Euler’s number

(Source: http://mathworld.wolfram.com)

·         42418316129787393244798498349610314002739639418622623492139400688701330038857369897639683856722411572475207203447744724370976474297127526070665511577919477138667408363547467649387788800049461595697608

Where

6.67408 ~ constant of gravitation

(Source: http://physics.nist.gov)

·         0516553790686627333799585115625784322988273723198987571415957811196358330059408730681216028764962867

Where 8.987 ~ Coulomb constant in electrostatic

(Source: http://scienceworld.wolfram.com/physics)

·         9386128894440412613786249523444947505596522332025294451178219959213450685005376828854182268925755038

Where 8.85418 ~ electric constant (Or Vacuum permittivity)

(Source: http://physics.nist.gov)

·         6818843187021953946745788068387330450266993482047409308509529400887069518186325483548249662607066502

Where 6.626070 ~ Planck constant

(Source: http://physics.nist.gov)

·         1908021458055350953241324036224334117794355382888601011516021766306897099412973119095150917160058845

Where 1.6021766 ~ elementary charge (Charge of electron)

(Source: http://physics.nist.gov)

·         4422845118273209748513571044742385749109383133850655948526797212711896813103833449229778166368094302

Where 9.109383 ~ electron mass

(Source: http://physics.nist.gov)

·         9589217885429733331100886707221516688335762492009010311009976090980665252668644423844360766963859177

Where 9.80665 ~ acceleration of gravity

(Source: http://physics.nist.gov)

·         6267712886022140859278535537337471953589903987579336102194906780894369912982198261645474805859604149

Where 6.02214085 ~ Avogadro constant

(Source: http://physics.nist.gov)

·         7195452860809748682548745244590362604731380648393797344681866249700721554710601935002386483893437562

Where 1.380648 ~ Boltzmann constant

(Source: http://physics.nist.gov)

·         5292492422161329574504065382201672623986186616485814342988831519203159057960073366305926447801768242

Where 1.67262 ~ Proton mass

(Source: http://physics.nist.gov)

 

And maybe there are more cases. I wonder this interesting finding is only accidental, or there is any implicit rule here.

 

Any feedback or discussion can be sent to [email protected]

It’s nice if you can share my article in social media for more opinions

 

Thinh Nghiem

[A-wal]

You'd need to calculate the odds of a set sequence of numbers appearing together by chance in a larger sequence of ten million digits and then multiply the odds together to see what the chances are of them all appearing.

 

Although it's not quite that simple because it's the odds of those number sequences appearing from a bigger pool of significant number sequences that presumably don;t appear so you'd have to take that into account as well.

[exchemist]

Dear all,

 

I explored the value of PI up to 10 million digits with the following link

 

http://pi.karmona.com/

 

From here I realized that it included many scientific constants. Below are some examples (See the string in BOLD)

 

·         85236194426736533892035293381796879434588513096544808259521653348853314258590660527010020998130498690661069867723414515021618033218172517802616380355080061151485165018703481386496623229835504747481403

Where

1.618033  ~ golden ratio to be used in design, painting, and architecture etc.

(Source: http://mathworld.wolfram.com)

·         96685196391413997448756843434713683467684405191628302400411300444463543904105050551088502982716308576980991021240051192505245400533996852921477011645488697170458489815728942231323809045241271828309703

Where

2.71828 ~ Euler’s number

(Source: http://mathworld.wolfram.com)

·         42418316129787393244798498349610314002739639418622623492139400688701330038857369897639683856722411572475207203447744724370976474297127526070665511577919477138667408363547467649387788800049461595697608

Where

6.67408 ~ constant of gravitation

(Source: http://physics.nist.gov)

·         0516553790686627333799585115625784322988273723198987571415957811196358330059408730681216028764962867

Where 8.987 ~ Coulomb constant in electrostatic

(Source: http://scienceworld.wolfram.com/physics)

·         9386128894440412613786249523444947505596522332025294451178219959213450685005376828854182268925755038

Where 8.85418 ~ electric constant (Or Vacuum permittivity)

(Source: http://physics.nist.gov)

·         6818843187021953946745788068387330450266993482047409308509529400887069518186325483548249662607066502

Where 6.626070 ~ Planck constant

(Source: http://physics.nist.gov)

·         1908021458055350953241324036224334117794355382888601011516021766306897099412973119095150917160058845

Where 1.6021766 ~ elementary charge (Charge of electron)

(Source: http://physics.nist.gov)

·         4422845118273209748513571044742385749109383133850655948526797212711896813103833449229778166368094302

Where 9.109383 ~ electron mass

(Source: http://physics.nist.gov)

·         9589217885429733331100886707221516688335762492009010311009976090980665252668644423844360766963859177

Where 9.80665 ~ acceleration of gravity

(Source: http://physics.nist.gov)

·         6267712886022140859278535537337471953589903987579336102194906780894369912982198261645474805859604149

Where 6.02214085 ~ Avogadro constant

(Source: http://physics.nist.gov)

·         7195452860809748682548745244590362604731380648393797344681866249700721554710601935002386483893437562

Where 1.380648 ~ Boltzmann constant

(Source: http://physics.nist.gov)

·         5292492422161329574504065382201672623986186616485814342988831519203159057960073366305926447801768242

Where 1.67262 ~ Proton mass

(Source: http://physics.nist.gov)

 

And maybe there are more cases. I wonder this interesting finding is only accidental, or there is any implicit rule here.

 

Any feedback or discussion can be sent to [email protected]

It’s nice if you can share my article in social media for more opinions

 

Thinh Nghiem

It will be just chance. Consider:-

 

First of all, the correspondence breaks down if you consider any of these quantities to a higher degree of precision. For example Planck' Constant is 6.62607004081 x 10⁻³⁴  J.s. The digits highlighted do not correspond to the sequence of digits in pi that you have identified. 

 

Second, the stream of digits in pi that you identify does not account for the exponent 10⁻³⁴. Thus the magnitude of these constants is not reflected in the sequences of digits of pi that you have found.

 

 

Third, and most fundamentally, the numerical value of any of these constants obviously depends on the units in which they are expressed. For instance Planck's Constant in eV.s is: 4.13566766225×10^−15. Nothing at all like the sequence of digits you have found. The Joule, the second and the electron volt are all arbitrary units, man-made for our convenience by accidents of human history. There is nothing fundamental about them. If we had used different units, none of these correspondences would have occurred in the same place. 

 

P.S. I am certainly not sharing this around any more widely, because it would just make you look silly. 

Edited April 21, 2017 by exchemist

[pzkpfw]

It's a kind of Pareidolia. (e.g. my date of birth in ccyymmdd format was found in those digits of Pi - does that mean I'm "special"?)

 

https://en.wikipedia.org/wiki/Pareidolia

 

See also: http://www.dr-mikes-math-games-for-kids.com/your-name-in-pi.html (it finds my (5 letter) surname 4 times in the digits of Pi it searches).

Edited April 20, 2017 by pzkpfw

[sanctus]

PI goes on to infinity and is not periodic  hence by defintion of infinity you can find whatever you want in that sequence.

[theodorenghiem]

PI goes on to infinity and is not periodic  hence by defintion of infinity you can find whatever you want in that sequence.

Originally, I also had the same thinking like yours by considering it as coincident. However I replaced PI with other irrational number, 

such as Euler number or golden ratio, and replicated all above testing. 

This time these values above could not be found with up to 5 or 6 digits like the result with PI. 

So I declare that this is PI's secret that needs to be investigated more

[sanctus]

Infinity does not say when these number sequences show up just that they eventually do...

[exchemist]

 

Originally, I also had the same thinking like yours by considering it as coincident. However I replaced PI with other irrational number, 

such as Euler number or golden ratio, and replicated all above testing. 

This time these values above could not be found with up to 5 or 6 digits like the result with PI. 

So I declare that this is PI's secret that needs to be investigated more

 

Well you will find you are on your own with that declaration, for all the reasons that I and other have given you. 

 

But it will make a change from trying to make perpetual motion machines in your bedroom, I suppose.  Best of luck. 

[A-wal]

Originally, I also had the same thinking like yours by considering it as coincident. However I replaced PI with other irrational number, 

such as Euler number or golden ratio, and replicated all above testing. 

This time these values above could not be found with up to 5 or 6 digits like the result with PI. 

So I declare that this is PI's secret that needs to be investigated more

It's already been pointed out to you that some of the values use arbitrary units of measurement so your claim doesn't even make sense. I told you to work out the odds so you'd see that it's not surprising that those numbers show up by chance in a sequence of ten million digits.