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The finite age of the universe and the existence of cosmological horizonsprovides a strong argument that the observable universe represents a finitecausal region with finite material and informational resources. A similarconclusion follows from the holographic principle. In this paper I address thequestion of whether the cosmological information bound has implications forfundamental physics. Orthodox physics is based on Platonism: the laws aretreated as infinitely precise, perfect, immutable mathematical relationshipsthat transcend the physical universe and remain totally unchanged by physicalprocesses, however extreme. If instead the laws of physics are regarded as akinto computer software, with the physical universe as the corresponding hardware,then the finite computational capacity of the universe imposes a fundamentallimit on the precision of the laws and the specifiability of physical states.That limit depends on the age of the universe. I examine how the imprecision ofthe laws impacts on the evolution of highly entangled states and on the problemof dark energy.

THE IMPLICATIONS OF A COSMOLOGICAL INFORMATION BOUND FOR COMPLEXITY, QUANTUM INFORMATION AND THE NATURE OF PHYSICAL LAW