letter by Domenico Oricchio

I wish correct some evident errors.

I use a three-dimensional grid for entropy calculus, then:

[math]

0 = \rho_{000} \Delta \rho_{000}+\sum_{ijk} \rho_{ijk} \epsilon_{ijk}

[/math]

the isoentropic discrete equation is:

[math]

0 = \rho_{000} \Delta \rho_{000}+\sum_{ijk} \rho^2_{ijk} \Delta_i \Delta_j \frac{v_{ijk}}{\Delta_i \Delta_j \Delta_k} \Delta t

[/math]

[math]

0 = \rho_{000} \frac{\Delta \rho_{000}}{\Delta t}+\frac{\rho^2_{ijk} v_{ijk}-\rho^2_{-i,-j,-k} v_{-i.-j.-k}}{\Delta_k}+\cdots

[/math]

[math]

0 = \rho \frac{\partial \rho}{\partial t}+\nabla \cdot \left(\rho^2 \vec v\right)

[/math]

then the entropy equation can be write

[math]

0 = \frac{1}{2} \frac{\partial \rho^2}{\partial t}+\nabla \cdot \left(\rho^2 \vec v\right)

[/math]

or

[math]

0 = \rho \frac{\partial \rho}{\partial t}+2 \rho \vec v \cdot \nabla \rho+\rho^2 \nabla \cdot \vec v=\rho \left(\frac{\partial \rho}{\partial t}+2 \vec v \cdot \nabla \rho+\rho \nabla \cdot \vec v\right)

[/math]

my search of this aesthetic beauty (simmetry, semplicity, etc), lead me to error in the differential equation.

Molto bene!

Saluti

George

Ciao Domenico,

Hai cominciato con "Dear brothers Nicola and Michele".

Questo significa che tuoi elaborazione e' indirizzato solo a loro?

Non ho capito che posso leggere e commentare anche io?

Mi dispiace per il mio italiano, ma ho appena iniziato a imparare alcuni mesi fa.

Ci ascoltiamo presto!

It is an idea, a literary invention (but I really sent the letter to my brothers: so that is true).

I publish the essay here, so it is commentable (usually I have not many comment, but good comment).

It is nice, and complex, attempting to learn Italian: if you are just learning a few months, the result is good (I tried a few years ago to learn German, and within a month I had gotten good results, but the languages easily forgotten).

I think that I am one of few to speak italian, so I reply in english.

In ogni caso, mi piacerebbe leggere qualche tuo commento sul mio saggio.

Avrei preferito più un saggio letterario, che scientifico: ma le formule, questa volta, erano necessarie.

Saluti

Domenico

Ciao Domenico,

I have read your essay carefully and it seems to me that I am not competent to comment and to rate. But it looks interesting and I could read more about it.

When you mention such things like the game of life, computer and biological life then the subject is closer to me and associated with Darwinian evolution in the sense of self-organized criticality. The structured criticality is a property of complex systems where small events may trigger larger events. This is a kind of chaos where the general behavior of the system can be modeled on one scale while smaller- and larger-scale behaviors remain unpredictable. The simple example of that phenomenon is a pile of sand. When QM and GR are computable and deterministic, the Universe evolution (naturally evolving self-organized critical system) is non-computable and non-deterministic. It does not mean that computability and determinism are related. Roger Penrose proves that computability and determinism are different things. Acc. to me the actual universe is computable during Lyapunov time but its evolution is non-computable.

I have even framed a concept that the matter and energy have evolved from a primordial, conformally flat spacetime (starting before the Planck Era). So I apply the theory of Darwinism beyond its original sphere of organic evolution on Earth.

If you are interested with details:

http://vixra.org/abs/1102.0026

http://fqxi.org/community/forum/topic/1609

The rate is not important, I consider important the comments.

You read my essay carefully, and the short part that I consider most important, though theorically weak (no formula).

I try to write my essays in such a way that anyone is competent, so you are showing me my one weakness; but reading your comment, I see that you have competence.

I want read your article (I have already read all the essays); I studied in the past chaotic system, so that it is interesting the study of the Plank Mission data, and the Visible Multi-object Spectrograph data for the galaxies distribution, to obtain information in the Plank epoch (if the chaos don't erase the initial information).

Saluti

Domenico

Hello Domenico,

I liked the sentence: - "An other meaning of the "It form bit" can be "Life from Bit". Also that you conclude that we are not alone in the Universe. Observation is surely key to the Bit/It question, so it makes sense to explore other life including artificial. The letter format was a nice approach too.

My essayt also relies on observation, if you get chance please have a look at it.

Best wishes,

Antony

Thanks for your comments over on my page - I've replied - all the best,

Antony

Dear Domenico

What a nice essay! Like a unique cuisine nouveau salad one can enjoy it as it is, avoid some ingredients that are difficult to chew, and start asking about the delicious bits and dressing etc. Like a salad it is not a full meal, but a good introduction to the master chef's menu. Bravo.

The part I could not understand is why you start with differential equations - and why Galileo? As an Italian you are justly proud of the master, but did he deal with differential equations as you imply? The essence of your ideas I think is diffusion between discrete cells. You show it is Hamiltonian evolution and describe it as hydrodynamical flow but expressed in a closed system of a lattice or system of cells. You describe a sort of equation of continuity in the flow between cells "in=out".

Then you speculate about a super-computer creating a sort of self-replicating digital life form, and I think your idea is correct. Perhaps it is a bit too early to worry about ethical or military questions at this stage - any computer life-form can hardly compete with the human brain with its well adapted ability to communicate with its environment, not just to evolve and replicate.

I enjoyed our discussions on d'Arianos essay page where our ideas coincide concerning describing gravity as flow between cells of different density. Following that I continue to refer to my Beautiful Universe Theory also here where I present ideas for a "theory of everything" using Hamiltonian exchanges of angular momentum between cells. I illustrate the need for a discrete calculus, and refer to a discrete form of Maxwell's Equations, but do not have your sophisticated mathematical abilities. I am trying to use Basic! on my iphone to simulate some (BU) flow patterns, but will start learning python.

Wishing you and your brothers the best of luck. Are they also physicists? Avanti!

Vladimir

Domenico,

If given the time and the wits to evaluate over 120 more entries, I have a month to try. My seemingly whimsical title, "It's good to be the king," is serious about our subject.

Jim

Saluti Domenico,

You are welcome to submit your unpublishable ideas and interesting thoughts. Do you consider my essay unpublishable as well?

Regards,

Akinbo

Dominico,

Your last line "Interesting thoughts' summed your essay up well, and also interesting presentation.

When loosing touch with the maths half way through I did have to wonder if I'd ever include any maths in a letter to my family, but I suppose that simply made it more unique.

I'm sure there are some truths in your writing. We must all wonder which! I hope you find or found some in mine. Do comment.

best wishes,

Peter

Dear Dominico. Hello, and apologies if this does not apply to you. I have read and rated your essay and about 50 others. If you have not rated my essay The Cloud of Unknowing please consider doing so. With best wishes.

Vladimir

Dear Domenico,

I wanted to let you know that I have read your essay. I think it was a nice idea to write it as a letter. That is refreshingly different from the many other essays. There are a few English grammar mistakes but they are not obtrusive.I found the discussion of the possibility of evolving computer viruses into conscious 'lifeforms' interesting. I have had several engaging conversations with my eldest son along similar lines.

I appreciate the early comment about sharing ideas with equals rather than competing. I hope you get the kind of feedback that is helpful to you. Although you do mention it from bit, I have not really understood the connection between your essay and the set essay question. Unfortunately I am not able to evaluate the mathematics, which is quite a large part of the essay. An enjoyable read nonetheless, thanks for sharing your thoughts.

Regards Georgina

Dear Domenico,

I have now finished reviewing all 180 essays for the contest and appreciate your contribution to this competition.

I have been thoroughly impressed at the breadth, depth and quality of the ideas represented in this contest. In true academic spirit, if you have not yet reviewed my essay, I invite you to do so and leave your comments.

You can find the latest version of my essay here:

http://fqxi.org/data/forum-attachments/Borrill-TimeOne-V1.1a.pdf

(sorry if the fqxi web site splits this url up, I haven't figured out a way to not make it do that).

May the best essays win!

Kind regards,

Paul Borrill

paul at borrill dot com