Mathematik


Giving an Academic Talk

Furled by 5 members.

Q&A: Seth Lloyd

A pioneer of quantum computing believes the universe is a quantum computer.

A Digital Perspective and the Quest for Substrate-Universal BehaviorsTommaso Toffoli Electrical and Computer Engineering, Boston University, Boston, MassachusettsAbstract Should the Digital Perspective essays collected in these proceedings be viewed more seriously than attempts to play ldquofundamental theoryrdquo—which even in the hands of an Eddington was hard to tell from mythology and numerology?We argue that a nonfrivolous aspect of this Digital Perspective is its heuristic capacity: to help us guess which aspects of our understanding of nature are more ldquouniversal,rdquo more robust, more likely to survive theoretical and experimental challenges. Behaviors that are substrate-independent—that can, for instance, thrive well on a digital support, even though they are traditionally imagined as taking place in a continuum—are especially promising candidates.digital models of physics – inference – machinery of nature

SpringerLink – Article

Feynman Checkerboard as a Model of Discrete Space-Time

Feynman Checkerboard as a Model of Discrete Space-Time

Quantum mechanics explained

The physical motivation for the mathematical formalism of quantum mechanics is made clear and compelling by starting from an obvious fact – essentially, the stability of matter – and inquiring into its preconditions: what does it take to make this fact possible?

Blogged with Flock

The Probabilistic Age & The Wisdom Of Crowds

Chris Anderson writes that systems like Wikipedia, Google & Blogs operate on the logic of probabilistic statistics, which sacrifices perfection at the microscale for optimization at the macroscale. This age, we’re depending more and more on systems where nobody’s in charge; & as chris sees it the intelligence is simply emergent. Wikipedia may not be more „authoritative“ than Brittanica. Britannica’s biggest errors are of omission, not commission. It’s shallow in some categories and out of date in many others. And then there are the millions of entries that it simply doesn’t and can’t, given its editorial process-have. But Wikipedia can scale to include those and many more. Today Wikipedia offers 860,000 articles in English – compared with Britannica’s 80,000 and Encarta’s 4,500. Tomorrow the gap will be far larger. The good thing about probabilistic systems is that they benefit from the wisdom of the crowd and as a result can scale nicely both in breadth and depth. They do this by sacrificing absolute certainty on the microscale, any single result ought to be crosschecked for veracity.The same is true for blogs, no single one of which is authoritative. But collectively they are proving more more than an equal to mainstream media. Likewise for Google, which is arguably the first company to be born with the alien intelligence of the Web’s large-N statistics hard-wired into its DNA. That’s why it’s so successful, and so seemingly unstoppable.These probabilistic systems aren’t perfect, but they are statistically optimized to excel over time and large numbers. They’re designed to scale, and to improve with size. Both market economics and evolution are also probabilistic systems. The fact that a few smart humans figured this out and used that insight to build the foundations of our modern economy, from the stock market to Google, is just evidence that our mental software has evolved faster than our hardware. My left brain tells me to accept this perspective from chris as proper – but..A nice article worth reading and discussing.

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