David DEUTSCH :: Constructor Theory (2012) . [Algebra generalizing relativity and quantum mechanics | Constructor theoretic information theory] - http://edge.org/convers...
Oct 24, 2012
from
Ken Morley,
Zu from AOD,
Victor Ganata,
bifurcafe,
Greg GuitarBuster,
eslr,
Gökhan Yu,
JB,
Kurgulu Saat,
etesien,
Kevin Johnson,
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Amira
liked this
"Many mathematicians to this day don't realize that information is physical and that there is no such thing as an abstract computer. Only a physical object can compute things. Information has to be a physical quantity, and yet, information is independent of the physical object that it resides in. [C]onstructor theory consists of a language in which to express scientific theories. But these laws are not about physical objects. They're laws about other laws obeying constructor theoretic principles." \\ Really interesting remarks about von Neumann and cellular automata theory.
- Adriano
the papers in preparation with Chiara Marletto are listed here: http://goo.gl/ipoCi esp. "An algebraic approach to constructor theory" and "Constructor-theoretic foundations of quantum and classical information." \\ Paper on the "Quantum Logic of Self-replication" is still being refined, currently at the dissertation stage.
- Adriano
thinking of this as an axiomatic system covering all possible physical laws, using information units as initial elements, the mathematical structure similar to C*-Algebras and von Neumann Algebras (operator algebra) -- bounded by an explicit set of physical constraints (the impossibilities). But will the rules of logical inference be non-classical?
- Adriano
Constructor Theory by David Deutsch | Future of Humanity Institute, University of Oxford (2012) (pdf) http://arxiv.org/ftp...
- Amira