Do we live in a discrete world?

Today, I will share with you some recent thoughts I had.

Do you remember of analog chips (a.k.a linear integrated circuits)? These circuits are almost no longer in use and have been replaced by semi-conductors and discrete processing chips (digital ones). Some kind of analog signal processing still remains in use in vacuum tubes and may be soon integrated in some current devices thanks to recent improvements.

To sum up, we have the following kind of computers: analog, digital, quantum.

The ubiquitous type is digital computer (even your smartwatch is basically a computer). Analog almost disappeared (they are still in use in aircrafts) but may become more prominent due to interest in very-large-scale integration. Quantum ones are more theoretical than common.

I already mentioned that our universe behaviour is either mathematical or a quantum, perhaps both.

Nick Boström even suggested that we are most likely living in a computer simulation.  Some go further, hypothesizing in a thought experiment, that some of us may be p-zombies.

digital

The real nature of our universe is a prolific question in physics, philosophy, metaphysics, spirituality and even cognitive science since we extensively rely on our sensors and the perception of a physical world (a perception that is easily tricked, even at integration levels).

If the world is quantum, then it can be reduced to a quantum computational system. If it is analogous, it can be reduced to an analogous computational system. Both are not exclusive at all.

What if our universe were discrete?

The discrete option is really interesting in that it supports the metaphor of a computer and, ultimately, of a simulation. It is theorized in digital physics.

One can notice that if the universe processes information, then it can also generate and process knowledge. We know that information and knowledge spread in societies by well-known social processes and networks dynamics. Oriented and labelled graphs can organize knowledge just like ontologies in information science. I found the analogy quite interesting since both societies and ontology-based systems in computer science can generate knowledge.

Graph

In my humble opinion, it tends to extend the computer metaphor from the universe to societies: the same process underpinning the quantum level, the cognitive level and the social level. It explains why discrete graph models succeed to explain some levels’ information processing (1, 2). Information processing would be the essential nature of the universe and knowledge discovery (perhaps?) a goal for us. Enaction and embodiment taught us that this appropriation of knowledge is not necessarily academic but can be achieved from everyday life or manual work.

It also reminds me the Plato’s theory of Forms (and its limitations) and how to access the ultimate reality.

“We come here to a difficulty which has troubled many philosophic theologians. Only the contingent world, the world in space and time, can have been created; but this is the every-day world which has been condemned as illusory and also bad. Therefore the Creator, it would seem, created only illusion and evil. Some Gnostics were so consistent as to adopt this view; but in Plato the difficulty is still below the surface, and he seems, in the Republic, to have never become aware of it.”- Bertrand Russel, philosopher (sorry for the mention of a Creator, you can replace it by every concept that suits your beliefs).

social interaction

What is the intermediate level: human being. As you may already know, fractals are everywhere in our universe. The information processing is everywhere. So, it sounds interesting to explore the possibility that the same processes can be observed at all levels: from atoms to societies.

The point is that if our universe is discrete, then each level is discrete too.

Societies are discrete in the sense that information processing and knowledge spreading occurs temporarily by discrete steps. The processing speed is increased in our connected society.

Our brain is also discrete (a counterintuitive idea): from post synaptic potential triggering to time slices of perception as we recently discovered.

What about the quantum level?

Humanity might never be able to prove with certainty whether the universe is simulated, Chalmers said.

“You’re not going to get proof that we’re not in a simulation, because any evidence that we get could be simulated.” – David Chalmers, Professor of Philosophy and Director of the Centre for Consciousness at the Australian National University

But we have evidences for a simulation since universe has probably error correcting codes, just like in computer science.

“Error-correcting codes are what make browsers work, so why were they in the equations that I was studying about quarks, and leptons, and supersymmetry? […] That’s what brought me to this very stark realization that I could no longer say that people like Max [Tegmark] are crazy.” – James Gates, a physicist at the University of Maryland

We may also be able to prove that our universe is discrete by nature. The question is, ultimately: is there a smallest unit of length, beyond which you can’t divide any further?

It will probably be possible to confirm soon Giovanni Amelino-Camelia observations of Hubble’s quasar shift in high frequencies.

Pi

We should even not be required to deeply observe the universe since discrete and continuous may be two sides of the same!

“The most significant level of interaction is when one and the same phenomenon appears
in both the continuous and discrete setting. In such cases, intuition and insight gained from
considering one of these may be extremely useful in the other.” – László Lovász, Microsoft Research
If all the phenomenons we observe can be modelled (and perfectly predicted) in both discrete and continuous mathematics then we are justified to ask whether the universe is discrete rather than continuous (due to the low possibility that discrete succeed at modelling every essential phenomenons).



One of the best chips is bad at maths

I will share with you a promising innovation in chips. A MIT project that was funded by DARPA resulted in a chip …

capable of processing frames almost 100 times faster than a conventional processor restricted to doing correct math—while using less than 2 percent as much power

How?

chipx9991

The chip was actually doing imprecise summations but it was enough to perform very well on some hard tasks which do not required precise calculations. That is exactly what one does not expect from a chip’s functioning!

You can find more detail in this MIT review.




Harnessing the Human mind to solve quantum physics problems

I’d like to briefly share with you an interesting example of gamification in quantum physics.

schrodinger equation

You can find the corresponding source article here.

Faced with the inability of computers to solve a complex quantum equation, a team innovated by creating a game based on quantum rules, which was played by 10,000 people.

quantum moves

This game was actually the analogy of a quantum problem that may ultimately lead to the creation of a quantum computer: the game Quantum moves models the moves of an electron (its wave function corresponds to a “fluid” in the game) towards a crystal (the target). The tool at the bottom of the screen is actually a LASER that moves the electron to the target without impairing its quantum state.

Guess what?

Surprisingly, the gamers outperformed state-of-the-art algorithms in terms of both speed and performance. The gamers’ success in solving the researchers’ problem even directly contributed to a more accurate scientific model.eyewire

This was not the only example of gamification that has ever succeeded. For instance, Foldit let people explore the possibilities in protein structures. An other example is Eyewire, a game that lets you explore a brain and, actually, map it.




Do plants compute?

Plants are no longer considered as insensitive and passive life forms. We even found novel means they communicate. What is more interesting is that several recent news tend to suggest some ability to count in plants.

The case of Venus flytraps

venus flytrap

Venus flytrap by Jason

In this article, Jennifer Böhm et al. suggest that a carnivorous plant (Venus Flytrap Dionaea muscipula) is able to count the number of mechanical stimuli that trigger the production of digesting enzymes and sodium uptake modules.

The team asked the question as to “how many times trigger hairs (e.g. mechanosensors) have to be stimulated (e.g., how many APs are required) for the flytrap to recognize an encaged object as potential food, thus making it worthwhile activating the glands”.

What they found is the following:

One touch to a trigger hair sets the plant in a “ready” state. A second touch causes the trap to close around the prey. At five touches the plant begins to produce digestive enzymes and transporter molecules that take up nutrients.

It sounds like an algebraic summation that triggers different pathways.

Not yet impressed? Let me show you a more interesting computation in plants…

A more complex calculation…

Arabidopsis thaliana

A. thaliana by Alberto Salguero Quiles

Several years ago a team from the John Innes Centre found that Arabidopsis thaliana is able to perform some computations. In fact, this plant is able to have a perfect 5% of starch level after one night. Even when the night’s duration was artificially increased or decreased.

Actually, this well-known (but still unknown, in a way) plant can do arithmetic division to prevent starvation at night. The plant determines the remaining time before day then divide the starch level by this value to get the adequate velocity for consuming starch!

A novel perspective

Of course these calculations may not be conscious and are probably caused by a chemical imbalance. However, it opens really promising perspectives on the complexity of plants those are far more complex than initially thought.




A geeky map

I’d like to say a few words about my latest impulsive buy: a geeky map about British TV shows.UK TV shows map

 

Graphic designer Tim Ritz has created The Great British Television Map, stretching from Nothern Ireland and Scotland down to London.

You can buy it (free shipping until today, 12 P.M) here.




Boundless consciousness?

I’m back with my second post of 2016 regarding consciousness. Hope it will be delightful.

Intelligences are multiple

Robot

Consciousness is not yet fully defined. As well as intelligence was until recently. The boundaries of intelligence were fluctuating across history and constantly redefined to ensure human superiority over other species. The tools to assess intelligence are often designed from our own abilities therefore fail at measuring other species intelligence.

However, we all now agree on various form of animal intelligences even in the human species. It was a long road before it became a consensus, harder than believe in multiple personalities traits which is actually intrinsically related.

What about consciousness?

Consciousness is hard to define due to lack of consensus. The definition I prefer is sentience, i.e. feeling as distinguished from perception or thought. One could also add self-awareness to the definition.

So what beings are conscious?

Coral_polyps_in_symbiosis_with_unicellular_dinoflagellates

Basically all animals (including humans) are sentient and sometimes self-aware. Plants may also be conscious beings. Although that they don’t have neurons or glia, they possess structures that allow them to process information and react to environment or even plan actions.

“They have ways of taking all the sensory data they gather in their everyday lives … integrate it and then behave in an appropriate way in response. And they do this without brains, which, in a way, is what’s incredible about it, because we automatically assume you need a brain to process information.”; “that the line between plants and animals might be a little softer than we traditionally think of it as.” – Michael Pollan

More interestingly, we may have created artificial beings that are conscious. The neuroscientist Christof Koch speculated that the Web might have achieved sentience. Pretty freaky, right?

I personally consider that at least cluster of networked machines (with their software) or intelligent machines may be sentient. Especially ones that auto-monitor. Some people argue that any system that is unpredictable may actually be sentient.

The fact is that such system may fail at the Turing test because they are so different than us and their consciousness is so different than what we expect. Their sensory modalities may even not map what we see as inputs and outputs.

Since they process information and act, even particles may be conscious, by flashes. Hard to believe…

Are you talking about panpsychism?

laniakea

Most of living scientists consider that considering non-human beings as conscious is panpsychism thus discarding it as pre-science. Panpsychism is the view that consciousness, mind or soul (psyche) is a universal and primordial feature of all things (to some degree).

This century marked a renewed interest in these hypothesis. Max Tegmark (MIT) argues that mater may be intrinsically conscious and a more restrictive scale have been invented to measure levels of consciousness of artificial agents.

An interesting conclusion

Depending of what frame of reference we consider, we may:

  • Be surrounded by above suspicion conscious beings: from artificial intelligences (not that terminator-like we all think about those are maybe not conscious of us at all) and even superintelligences (if they exist) to inert chromosomes.
  • Be living in a vast conscious system with a lot of subconscious entities.

The second option may be plausible since supercluster processes a lot of information as a complex system.

But the light speed limit tends to suggest a long scaled consciousness (if it exists) or consciousness at early stages of structures self-organisation only… although quantum entanglement or shared routines in a computational universe may also allow long-distance rapid information processing.




An affordable credit card-sized supercomputer by NVIDIA

Jetson TX1

NVIDIA announced yesterday the Jetson TX1, a small form-factor Linux system-on-module, credit card sized for various application ranging from autonomous navigation to deep learning-driven inference and analytics.

Jetson TX1

It will soon be available as development kit, e.g. a mini-ITX carrier board that includes the pre-mounted module and has low power consumption which provides an out of the box desktop user experience (it comes with a linux’s ubuntu custom distribution). Unfortunately, the development kit requires a USB hub to work with a keyboard and a mouse and the 16GB eMMC memory storage is probably too few.

Since I really enjoyed performing artificial intelligence at the university and during an experience as contractor in a public research center, I think I will ask the developer kit for christmas. I plan to use it as media center, intelligent home automation and for personal deep learning projets.

You may wonder why I chose this solution? Just because this card packs several interesting characteristics:

  • a Tegra X1 SoC : an ARM A57 CPU and a Maxwell-based GPU packing 256 CUDA cores (delivering 1 teraflop at 5.7W, i.e. the same peak speed as a small 15 years old supercomputer!)
  • 4GB of RAM shared between the CPU and GPU

It sounds interesting to me.




Some hints for a mathematical world

Pi

Max Tegmark, a cosmologist, considers the external reality to be essentially mathematical.

In that sense, the mathematical entities (such as groups or varieties) may not be different from physical entities (photons, magnetic fields, etc.) by nature, explaining why the mathematics are so successful at describing the physical world. In other words, the so-called “universal structural realism” asserts that our physical universe is isomorphic to a mathematical structure.

Pi

pi number by J.Gabás Esteban

A link between quantum physics and mathematics

I personally believe in the power of loop quantum gravity, combined to the idea that physical laws are reducible to a quantum circuit.

Therefore the universe may exhibit fundamental mathematical properties inherent in the quantum circuit’ subroutine “archetype”. That’s it for the theoretical digression.

If the universe has fundamental mathematical properties then we must be able to find similar patterns in formulas.

And that is the case: researchers found the same formula in quantum mechanical calculations of the energy levels of a hydrogen atom as in the derived formula for pi as the product of an infinite series of ratios in a book of the mathematician John Wallis (the so called Wallis product for π in the Arithmetica infinitorum from 1655).

It reminds me of something…

The formula links π and the quantum mechanics. That’s a fact.

I recently read an article in french that talked of the tau manifesto, saying that the value of pi is wrong and should be 6.28…

Interestingly, if we use π = 2π then several classical formulas in mathematics and physics exhibits the same appearance:

area of a disk = ½ π r2

Ec = ½ m v2

d = ½ g t2

Physics and mathematics are maybe two sides of the same coin…




Home reading environment is beneficial to children

Reading at school

While we already know that reading fiction improves brain connectivity and function and its effects is long lasting, a new study proves that “listening to stories, greater home reading exposure is positively associated with activation of brain areas supporting mental imagery and narrative comprehension, controlling for household income”.

Reading at school

If you want smart kids, just don’t put your children in front of the TV for long hours. Give instead priority to active play and reading. They will develop better cognitive capabilities and be healthier.




Deep learning for everyone!

TensorFlow

That’s great news! Google just open-sourced TensorFlow, its deep (machine) learning library.

The engine is widely used at Google: by speech recognition systems, in the new Google photo product, in Gmail, in search, etc.

TensorFlow

From now on startups will be able to develop systems as intelligent as a 4 year old children. More interestingly, code sharing in python between researchers or data scientists has never been easier.

The limitations of the previous system no longer exist:

[DistBelief] was narrowly targeted to [artificial] neural networks, it was difficult to configure, and it was tightly coupled to Google’s internal infrastructure — making it nearly impossible to share research code externally. […] TensorFlow has extensive built-in support for deep learning, but is far more general than that — any computation that you can express as a computational flow graph, you can compute with TensorFlow (see some examples). Any gradient-based machine learning algorithm will benefit from TensorFlow’s auto-differentiation and suite of first-rate optimizers. And it’s easy to express your new ideas in TensorFlow via the flexible Python interface.

Maybe the engine will soon get available for its cloud-based service on a clustered architecture…