Evidence review · grain
UNIVERSAL COMPUTATION / TURING COMPLETENESS
UNIVERSAL COMPUTATION / TURING COMPLETENESS
System notes
Turing's 1936 theorem proves that a single machine can simulate any other computable machine.
Landauer's principle establishes that erasing one bit of information requires at least kT ln 2 of energy, making computation fundamentally physical.
The Church-Turing thesis asserts that every physically computable function is computable by a Turing machine; no counterexample has been found.
Prigogine demonstrated that open systems far from equilibrium spontaneously organize into dissipative structures that maintain order by exporting entropy.
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Evidence ledger 8 · tier-ranked · API
system
Turing's 1936 theorem proves that a single machine can simulate any other computable machine.
sources: turing-1936
system
Landauer's principle establishes that erasing one bit of information requires at least kT ln 2 of energy, making computation fundamentally physical.
sources: landauer-1961
system
The Church-Turing thesis asserts that every physically computable function is computable by a Turing machine; no counterexample has been found.
sources: turing-1936
system
Prigogine demonstrated that open systems far from equilibrium spontaneously organize into dissipative structures that maintain order by exporting entropy.
sources: prigogine-1977
speculative
The universe is a computational system: information is physical, computation has a thermodynamic cost, and order emerges from chaos.
3 more ranked claims
speculative0.60
Quantum computers may violate the Church-Turing thesis in terms of computational speed, though they remain Turing-complete.
sources: turing-1936
speculative0.50
England's theory (2013) predicts that matter driven by thermodynamic gradients spontaneously restructures to dissipate more energy, and that dissipation drives adaptation, replication, and life.
sources: england-2013
anecdotal0.30
Hypercomputation (oracles, infinite time Turing machines) could theoretically solve the halting problem, but none have been physically realized.
sources: turing-1936
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What does the ledger say about this (speculative tier): "The universe is a computational system: information is physical, computation has a thermodynamic cost, and order emerges from chaos."?
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