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it is possible that the Church Turing thesis is also a =hysical law, i.e. it is impossible to build physical computer that can =alculate more than a Turing machine. However, that conflicts with the =raditional intuitions of most of physics: that the universe is =eometric, i.e. hypercomputational. The fa
iption ultimately =elies on computational languages and tools. Contrary to what Penrose =opes, our mathematical creativity seems to rely entirely on Turing =omputable functionality. This does not mean that such a =etacomputational operator as he intuits does not exist, but it means =hat we probably cann
n only travel in very few directions. A more fine grained =omentum requires that the oscillator occupies a large set of adjacent =attice locations. SmoothLife is a variant of Game of Life that uses =ery large neighborhoods and indeed delivers stable oscillators that can =ravel in arbitrary directions. > I
it is possible that the Church Turing thesis is also a physi=al law, i.e. it is impossible to build physical computer that can calculat= more than a Turing machine. However, that conflicts with the traditional =ntuitions of most of physics: that the universe is geometric, i.e. hyperco=putational. The fa
n only travel in very few directions. A more fi=e grained momentum requires that the oscillator occupies a large set of ad=acent lattice locations. SmoothLife is a variant of Game of Life that uses=very large neighborhoods and indeed delivers stable oscillators that can t=avel in arbitrary directions. I t
it is possible that the Church Turing thesis is also a physi=al law, i.e. it is impossible to build physical computer that can calculat= more than a Turing machine. However, that conflicts with the traditional =ntuitions of most of physics: that the universe is geometric, i.e. hyperco=putational. The fa
n only travel in very few directions. A more fi=e grained momentum requires that the oscillator occupies a large set of ad=acent lattice locations. SmoothLife is a variant of Game of Life that uses=very large neighborhoods and indeed delivers stable oscillators that can t=avel in arbitrary directions. I t
it is possible that the Church Turing thesis is also a physi=al law, i.e. it is impossible to build physical computer that can calculat= more than a Turing machine. However, that conflicts with the traditional =ntuitions of most of physics: that the universe is geometric, i.e. hyperco=putational. The fa
n only travel in very few directions. A more fi=e grained momentum requires that the oscillator occupies a large set of ad=acent lattice locations. SmoothLife is a variant of Game of Life that uses=very large neighborhoods and indeed delivers stable oscillators that can t=avel in arbitrary directions. I t
it is possible that the Church Turing thesis is also a =hysical law, i.e. it is impossible to build physical computer that can =alculate more than a Turing machine. However, that conflicts with the =raditional intuitions of most of physics: that the universe is =eometric, i.e. hypercomputational. The fa
n only travel in very few directions. A more fine grained =omentum requires that the oscillator occupies a large set of adjacent =attice locations. SmoothLife is a variant of Game of Life that uses =ery large neighborhoods and indeed delivers stable oscillators that can =ravel in arbitrary directions. > I
it is possible that the Church Turing thesis is also = physical law, i.e. it is impossible to build physical computer that =an calculate more than a Turing machine. However, that conflicts with =he traditional intuitions of most of physics: that the universe is =eometric, i.e. hypercomputational. The fa
n only travel in very few directions. A more fine grained =omentum requires that the oscillator occupies a large set of adjacent =attice locations. SmoothLife is a variant of Game of Life that uses =ery large neighborhoods and indeed delivers stable oscillators that can =ravel in arbitrary directions. 2
it is possible that the Church Turing thesis is also a =hysical law, i.e. it is impossible to build physical computer that can cal=ulate more than a Turing machine. However, that conflicts with the traditi=nal intuitions of most of physics: that the universe is geometric, i.e. hy=ercomputational. The fa
n only travel in very few directions. A mo=e fine grained momentum requires that the oscillator occupies a large set =f adjacent lattice locations. SmoothLife is a variant of Game of Life that=uses very large neighborhoods and indeed delivers stable oscillators that =an travel in arbitrary directions. > I
Entities connected to both Turing and SmoothLife

Jeffrey Epstein
PERSON
Marvin Minsky
PERSON
Joscha Bach
PERSONWolfram
PERSONthe Game of Life
ORGANIZATIONChurch Turing
ORGANIZATIONLorentz
ORGANIZATIONIntuitionist
ORGANIZATIONLoren Mahaffey
PERSONlattic=
PERSONhyperco=
ORGANIZATIONMomentum
LOCATIONMin=ky
ORGANIZATION