The Open World and the Emergence of Consciousness by Lawrence B. Crowell

The holographic principle : You can find a solution for it in my book "THE FRACTAL RAINBOW":

According to John Maldacena (See article Scientific American, January-2006):

"HOLOGRAM theory states that a quantum theory of gravity within a space-time anti-De Sitter is equivalent to a theory of ordinary particles at the border."

"Unfortunately not yet known any theory of boundary that results in an interior theory that includes just the four forces we observe in our universe [...] Since our universe has not a defined boundary (such as having a space of anti-De Sitter and as precise holographic theory), we are not sure how a holographic theory for Our Universe would be defined due that there is no appropriate place to put the hologram."

One option could be to propose, as a boundary of Our Universe for the HOLOGRAM theory, that it will not be situated on higher scales (Cosmic Horizon), but it could be on the smaller scales (Planck Horizon) where we could also have a 2D space boundary.

This 2D "virtual" surface at Planck scale could be the boundary to be considered for the HOLOGRAM theory: the Planck Horizon (Boundary).

Dear Lawrence B. Crowell,

My essay was on a complete different point of view of yours, I am still studying to understanding it. I gave you a 10 because it seems to attack things from fundamental points of processing information. I took the point of view of organisms that process information. I define life basically as an ecosystem or an entire biosphere (I don't state that in the paper, It's something from the discussion I've been having with people) which is basically like a chemical clock. And as such, life began as a chemical clock reaction that spread like wildfire in the primitive ocean. As it variety due different conditions it met in different niches, it evolved in complexity, yielding life as we know, based on cell.

But, in all scales, life strives to mimic the whole entirety of the ecosystem, given the need to transport energy all the time.And 1 organism or a chemical cycle within a cell needs always to put within larger and larger scales of ecosystems. So, you have multi cell life and colonies as expression of this expansion in gathering resources. The top of this is the use of mathematics in modern human life to organize societies, though, this is a reflex from the primitive instance of chemical clocks working by inequality as a threshold to work as a clock. Note that even the topological shapes of organisms are organized by inequalities given by thresholds of substances.

This is my essay:

http://fqxi.org/community/forum/topic/2846

Lawrence,

What I propose is closer to the idea of Chomoton Theory. But, I want to go to an even more basic level, that life starts merely as a chemical pacemaker, that spreads. As for quantum gravity, I have an approach that, I am still studying the underlying subejects, that yields everything from simple gravitational relations. It involves elliptic surfaces and control (catastrophe theory). If you wish to know more about it, send me an email. (I also need some guidance on what I should persue mathematically)

Quite a lot of concepts in this one, advanced and technical. The basic premise seems quite similar to the "freebit" concept by Scott Aaronson.

I think I saw a typo (SPT/STP), and also the abbreviation UP was not explained (I guess "Unitary Principle" from the context).

Dear Lawrence --

I was surprised to see your invocation of both holographic bounds, and an endorsement of hypercomputation. If there's an infinite amount of computation happening along a worldline that is nevertheless contained within a finite volume at infinity, I feel like I should have violated some kind of entropy bound.

One way to see it is that, if hypercomputation is possible, I can compute Chaitin's Omega--the infinite binary expansion of which has entropy rate one bit/digit. It's completely unpredictable from the point of view of a "finite" agent, and so standard Gibbs/Jaynesian arguments that link entropy to epistemic states of belief goes right through.

(To my mind, the logical difficulties of hypercomputation actually argue in favor of holographic bounds, but that's just me.)

Yours,

Simon

Dear Simon,

You are right, that is why the hypercomputations are truncated. Black holes are quantum mechanical and the finite DOF in the quantum hair on the stretched horizon prevents complete hyper-computation. As for Chaitin's О© number, these truncated systems can't compute it, but they might be able to "guess" it or throw the dice in a way that is loaded in their favor.

The classic situation with hypercomputations is the Zeno switch that opens and closes every 1/2^n intervals of a second as n в†' в€ћ. The energy involved with flipping the switch diverges and the whole system becomes (in principle) a black hole before the outcome can be read. Hypercomputations are then in a sense a sort of idealization, but a pernicious one because of Loeb's theorem. However, in a subtle sense it is possible to "go beyond Turing" a little bit to make more reasonable guess, make choices etc, instead of being completely blind.

Cheers LC

Thank you Lawrence. While some colleagues of mine are thinking a great deal about thermodynamics of computation, I hadn't seen them jump into these computability questions.

I'm curious about the ways in which approximations can go wrong when it comes to uncomputable numbers. For example, I might be able to guess, but I won't be able to put on any kind of probability bounds. Are there any non-trivial things that you can get from an approximation of an uncomputable number? My guess is that you have a story about how this happens in your truncated hypercomputation example.

Dear Lawrence,

I think that most of the cell reactions can be characterized as chemical clocks. As long as there is homeostasis, that is, that is, control parameters, there will be a clock of some kind, not even if is not regular in time. Like a thermostat. Not, that this is not the same of a random reaction, since in this case the chemical reaction will simply follow the 2nd law of thermodynamics and defuse energy, where a chemical clock is a physical analogue to engine. On the other hand,a clock is more akin to a Carnot cycle.

The idea of a chemical clock came to me when I was considering the case of pH regulation of a cell, the ion transport. This is the most trivial active function of a membrane cell, in my view, other than the most trivial function, that is no to let the contents of the cell to spread to the environment. The ion transport is like a little machine, that is always pumping ions in order to keep the pH around a certain level.

The idea is to consider the most primitive example of life, a kind of self controlling cycle. Some thing I had to exclude, to try to get in the most basal level I could thing of. I can get rid of a membrane if the elements needed for are abundantly available in the primitive ocean.

I can get rid of reproduction if there is no defined requirement for perfect conservation of information. The sequence of stages required for the working of a clock is itself information. I don't know what is the original sequence, but I tried to propose one that would work like one in the primitive ocean. Also, as I posted in the additional information (BK reaction can be thought of composed of sub reactions) and also gave a certain mathematical treatment in section 2, different cycles could superimpose into a different one. Also, due differences in composition due the depth of water and environment, there should be some sort of competition for which reaction could thrive.

In the large ocean, cycle waves would compete, like these ones, in a petri dish. Just imagine that the ocean is a thin layer over a huge surface.

https://www.youtube.com/watch?v=zDgx6n6aExE

I also proposed that, after a long time, these reactions would be strong enough, or adapt to, the kind of environment rich in organic material, like, in alkaline vents. The presence of stuff like lipids and rna, would select much more complex reactions on the long term, like those which happen in cells.

Dear Lawrence,

With great interest I read your essay, which of course is worthy of high rating.

I'm glad that you have your own position

«The subjective existence of our consciousness and our perceived ability to act freely is in contrast to the causality paradigm of physics that processes occur by strict conservation principles and determinism. Quantum mechanics is often cited as nondeterministic, however wave function evolution is determined; measurements appears stochastic. Yet a meat puppet guided by stochastic outcomes is no more free than one governed by strict determinism.»

«What these theorems tell us is that if there is a classical underpinning to quantum mechanics they must be nonlocal and have no observable consequence».

You might also like reading my essay , where it is claimed that quantum phenomena also occur in the macro world, due to the dynamic nature of the elements of the medium in the form of interacting non-local de Broglie waves of electrons, where parametric resonance occurs and solitons are formed, whose operation mechanism is analogous to the principle of the heat pump.

It

«sets up the network system for continued emergence at lower energy, down to the level of chemistry. Emergent complex structures involving a large number of particles, a large N limit, manifest themselves from stars and a wide range of different planets to the emergence of life.»

I wish you success in the contest.

Kind regards,

Vladimir