cellular automata according to Max Planck

[Hubi1857]

Trying to (re)connect pure classical physics with pure quantum physics using cellular automata.

This isn't theoretical but mathematical physics.

In fact it is
theoretical quantum physics


Should be pretty simple, you need nothing but the first law of thermodynamics, conservation of energy, which creates living cells from a pool of potential energy delivered by the grid, the temperature of the grid and Max Planck's constant h which denotes the side lenght of the cells.

But it needs a translation from the language of Jim Peebles, physics Nobel prize laureate in 2o19, into the one of John Conway.

[Moosey]

Well if you need conservation of mass, you need population to remain constant.
That eliminates a lot of fun possibilities

[Hubi1857]

Well if you need conservation of mass, you need population to remain constant.
That eliminates a lot of fun possibilities

You need conservation of energy to be able to explain antimatter!

Theoretical physicists work with mathematics while mathematical physicists work on mathematics.

Getting rid of the endless fun possibilites mathematicians might enjoy is a necessity for every serious scientist. That's what they call Occam's razor.

The main problem here is to map the continous space given by cartesian coordinates to a quadratic grid of cells of limited dimension.

Heisenbergs uncertainty principle, to start with, is the natural solution to the problem of choosing a place for the origin of a coordinate system that makes sense everywhere in the grid.

But it needs the Noether theorem to prove that every physical quantity that is conserved is accompanied by another one so that both of them obey the uncertainty principle.

Emmy Noether (23 March 1882 – 14 April 1935)

Noether.jpg (240.52 KiB) Viewed 9541 times

Emmy Noether, btw, had been invited by David Hilbert and Felix Klein to join the mathematics department at the University of Göttingen in 1915 but was forced to leave Germany in 1933 because she was born into a jewish family.
See -> https://en.m.wikipedia.org/wiki/Emmy_Noether

[Hubi1857]

And german angst reigns Germany ever since then...

Gyro Gearhead and Helmut Schmidt

20200103_200815.png (473.25 KiB) Viewed 9517 times

The character of the ugly guy who is watching you was formed when he served as an officer in Hitlers Wermacht.
While Disneys Gyro Gearhead was created by the genius of the cartoonist Carl Barks.

[Hubi1857]

Back to Max Planck

It is a very easy task, indeed, to reconcile theoretical physics with whatever you might call "common sense". Just get rid of cartesian cordinates, number theory and Peanos axioms by exploiting the surreal numbers of John Conway and Donald Knuth, the renowned programmer, sorry, author of TeX and Metafont.

John Horton Conway says:

"You're unable to create nothing from nothing unless you use two nothings."

If in doubt (or just for fun) pay a visit to Wikipedia

-> https://en.m.wikipedia.org/wiki/Surreal_number

Then forget all you ever knew but weren't afraid to ask for about Peanos axioms since all natural numbers greater than 1 are useless unless you're a mathematician.

All that remains to do is to define the action quantum for the grid of every cellular automaton you're able to imagine to be equal to the natural number 1, h:=1, and use the quantities energy E and temperature T in the very same way Max Planck used to do when he referred to the first law of thermodynamics.

And all of sudden Einsteins E=mc^2 ends up on the pile of debris called history of science...

[Hubi1857]

Code: Select all

 The four phases of Conways glider

Phase one: the glider
001 □□■
101 ■□■
011 □■■

Phase two: left handed intermediate
100 ■□□
011 □■■
110 ■■□

Phase three, identical to Phase one,
displaced one cell each towards South and East directions
001 □□■
101 ■□■
011 □■■

Phase four, right handed intermediate
identical to Phase two, displaced one cell->SE and mirrored along the NW->SE diagonal 
101 ■□■
011 □■■
010 □■□

As you see the glider replicates itself twice and moves two cells during it's period of four ticks, it is actually a p4-oscillator which moves at the maximum velocity v(max) of half a cell per tick, v(max)=c/2.

[Hubi1857]

Now splitting the single cell of sidelength h into four subcells of sidelength h/2

Code: Select all

 the four phases of Conways glider using 2hx2h cells of sidelenght h each.
 
Phase one 
□□□□■■
□□□□■■
■■□□■■
■■□□■■
□□■■■■
□□■■■■

Phase two
■■□□□□
■■□□□□
□□■■■■
□□■■■■
■■■■□□
■■■■□□

Phase three
□□□□■■
□□□□■■
■■□□■■
■■□□■■
□□■■■■
□□■■■■

Phase four
■■□□■■
■■□□■■
□□■■■■
□□■■■■
□□■■□□
□□■■□□

[Moosey]

Those would make more sense if they used the actual evolution of the glider:

Code: Select all

..o
o.o
.oo

o..
.oo
oo.

.o.
..o
ooo
Note:
Phase 3 was mirrored

o.o
.oo
.o.

[Hubi1857]

Those would make more sense if they used the actual evolution of the glider:

Sorry Moosey, but you simply do not know what you're talking about when you use words and terms from biology like "evolution", "population", "generations" etc.

Remember:

this is Conway's Game of Life, not real life!

(Edit: clarified wording)

[pcallahan]

Sorry Moosey, but you simply do not know what you're talking about when you use words and terms from biology like "evolution", "population" and "generations".

"Evolution" definition 4:

A pattern of movements or maneuvers. ‘silk ribbons waving in fanciful evolutions’

applies here and is sometimes used in discussing Life patterns.

Words usually have more than one meaning and there is no reason to think Moosey was using the term from biology. In fact, this is closer to the original meaning of the word before it was coopted for biology.

Early 17th century from Latin evolutio(n-) ‘unrolling’, from the verb evolvere (see evolve). Early senses related to movement, first recorded in describing a ‘wheeling’ maneuver in the realignment of troops or ships. Current senses stem from a notion of ‘opening out’, giving rise to the sense ‘development’.

Moosey's point is that the third phase of a glider should be a glide reflection of the original (the reason for its name).

An "Oops. Thanks. I'll fix it." would have sufficed.

"Population" has a non-biological definition "A finite or infinite collection of items under consideration." (same source) and in Life discussions is often used to mean the size of the population or cell count (which I prefer).

"Generation" (specific to Life and similar CA context) can refer to either the process of applying the CA rule or (more often) the state reached after applying the rule a certain number of times (e.g. "generation 17"). While this won't be found in a standard dictionary, it's not unusual for a specialized area to develop its own nomenclature.

[Hubi1857]

Words usually have more than one meaning and there is no reason to think Moosey was using the term from biology.

Frankly, I simpy do not know what Moosey thinks and I definitely haven't got the slightest idea what your problem is, Mr. Callahan!

[pcallahan]

Words usually have more than one meaning and there is no reason to think Moosey was using the term from biology.

Frankly, I simpy do not know what Moosey thinks and I definitely haven't got the slightest idea what your problem is, Mr. Callahan!

Well, are you going to fix your mistake?

[Hubi1857]

(Edit: unfortunate choice of words.)

[Hubi1857]

Words usually have more than one meaning and there is no reason to think Moosey was using the term from biology.

Frankly, I simpy do not know what Moosey thinks and I definitely haven't got the slightest idea what your problem is, Mr. Callahan!

Well, are you going to fix your mistake?

I still don't know what your problem is, mine is, as you already know, that I am forced to struggle all the time against the ignorance of most of mathematicians.

Even when I do nothing worse but playing here in the Sandbox...

[pcallahan]

Even when I do nothing worse but playing here in the Sandbox...

Even in the sandbox, it would enhance your credibility if you could get the simplest moving pattern right. My problem? Like you said, it's the sandbox. Anything goes.

[Hubi1857]

I see. Your problem is the Sandbox!
While mine is whatever you might call "common sense"...

[pcallahan]

I see. Your problem is the Sandbox!
While mine is whatever you might call "common sense"...

Common sense says you don't show up in a forum on arithmetic and write "2+2=5" unless the intent is humor or shock value. Are you a performance artist?

[Hubi1857]

If you're interested in my kind of science have a look at
Guiseppe Torres PhD thesis at the University of Limerick entitled
"The design of a New Musical Glove:
A Life Performance Approach."
-> https://ulir.ul.ie/bitstream/handle/103 ... sequence=5

In 3.3.4 he mentions Imogen Heaps data glove.
Well, I wasn't involved in the creation of her glove but in the production of her album "Sparks" which happened while the MiMu gloves were developed and built by Kelly Snook, close friend of Imogen Heap.

BTW:

Common sense says you don't show up in a forum on arithmetic and write "2+2=5" unless the intent is humor or shock value.

We live in the digital ages nowadays where the numbers 0 and 1 are sufficient to solve any computable problem whatsoever.

Common sense says, digitally speaking, that
10+10+0=10×10+0=10^10+0=100 and
10+10+1=10×10+1=10^10+1=101.

Furthermore I tell you that you'd be much better off if you'd use (ah,bi) as coordinates for the plane of complex numbers instead of the usual binom z=a+ib.

[Moosey]

Those would make more sense if they used the actual evolution of the glider:

Sorry Moosey, but you simply do not know what you're talking about when you use words and terms from biology like "evolution", "population", "generations" etc.

Remember:

this is Conway's Game of Life, not real life!

(Edit: clarified wording)

Sorry, Hubi1857, but you simply don't know what you're talking about when you fail to understand what I meant by evolution-- evolution is not biological in the definition that I was using, but rather the definition supplied by pcallahan.

Also for some reason you have yet to fix your graphics for the evolution of the glider

look here:

Code: Select all

x = 3, y = 3, rule = B3/S23
2bo$obo$b2o!
[[ STOP 2 ]]

is the 2nd generation not a reflection of the zeroth?



Also, the way you say things like "I am forced to struggle all the time against the ignorance of most of mathematicians." really irritates me. You're saying it as though you are wholly more intelligent than we are.

Tell me, how fast is the fastest googological function that you have defined? Because it better be faster than my fastest if your calling us "ignorant" is justified.

I'm not denying that you know more about theoretical physics than we do, but your specific word choice is suggesting that you are overall more intelligent than us.

[Hubi1857]

Moosey!

You obviously haven't realized yet that an android driven smartphone is by orders of magnitude smarter than you or any single, individual member of the biological species homo sapiens sapiens.

[Moosey]

Moosey!

You obviously haven't realized yet that an android driven smartphone is by orders of magnitude smarter than you or any single, individual member of the biological species homo sapiens sapiens.

How the crumbs did you manage to guess so wrongly?

Are you an android smartphone? If not, my speech about how you call us "ignorant" has positively nothing to do with Android Smartphones.

I can see what you're doing; you're trying to change the subject.
Rather than being evasive, can't you admit that calling us ignorant is the wrong way to frame it?

(Also, fyi, an android smartphone still is not capable of coming up with good googological functions on its own, though obviously it can share one that has been shared with it, which means that just as my intelligence is not wholly inferior to yourself, my intelligence is not wholly inferior to a smartphone)

The more you divert the subject or describe us as "ignorant", the deeper a hole you are digging for yourself. Do you want to
1) admit that what you have been doing was somewhat unkind, and apologize
Or
2) keep digging a deeper hole for yourself, then come back to this choice

[Hubi1857]

You force me to struggle all the time against your ignorance.

[pcallahan]

You force me to struggle all the time against your ignorance.

Actually, nobody forces you to do anything.

[GUYTU6J]

Can we please get on topic?
Two suggestions:
pictures("镇楼图") are ok but don't use too often and don't make it that large;
editing your posts without deleting old statements.

[Hubi1857]

Hi GUYTU6J, and thanx for your interference!

So, back to the topic "cellular automata according to Max Planck"!