The Relativistic Brain: How it works and why it cannot be simulated by a Turing machine by Miguel Nicolelis & Ronald Cicurel

Author:Miguel Nicolelis & Ronald Cicurel [Nicolelis, Miguel]
Language: eng
Format: epub, mobi
Publisher: Kios Press
Published: 2015-04-09T03:00:00+00:00

“there is no coherent method to correlate these programmer tricks with biological entities. As such, this approach results in opaque and largely unsustainable models that rely on subjective metaphors and wishful thinking to provide relevance to biology...”

The mathematician Michael Berry has proposed a simple example to illustrate the difficulties related to simulating any physical system. The example is based on trying to simulate the successive impacts of a billiard ball in a pool game, knowing the complete initial conditions. Calculating what happens during the first impact of the billiard ball is relatively simple if you have collected the parameters and estimated the strength of the hit. However, estimating the second impact gets more complicated since one has to be more precise in estimating the initial states in order to get an acceptable estimation of the ball’s trajectory. To compute the ninth impact with great precision, you will need to take into account the gravitational pull of somebody standing near the table. And to compute the 56th impact, every single particle in the universe needs to be present in your assumptions; an electron on the other side of the universe, must figure into your calculation. The difficulty is even higher with living systems. Thus, in the case of a brain that requires exquisite coherence from billions of neurons and multiple levels of organization to exert its functions, the possibility of one’s simulation diverging is overwhelmingly high.

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