A Computational GrandUnified Theory Speaker(s): Giacomo D'Ariano
Abstract: Are Quantum Mechanics and Special Relativity unrelated theories? Is Quantum Field Theory an additional theoretical layer over them? Where the quantization rules and the Plank constant come from? All these questions can find answer in the computational paradigm: "the universe is a huge quantum computer".
In my talk I'll take the computationaluniverse paradigm as genuine theoretical framework, and analyze some relevant implications. A new kind of quantum field theory emerges: "QuantumComputational Field Theory" (QCFT). I will show how in QCFT Special Relativity unfolds from the fabric of the computational network, which also naturally embeds gaugeinvariance, and even the quantization rule and the Planck constant, which thus resort to being properties of the underlying causal tapestry of spacetime. In this way Quantum Mechanics remains the only theory needed to describe the computationaluniverse. I will analyze few simple toymodels in order to explore the mathematical structure of QCFT.
The new QCFT has many advantages versus the customary field theoretical framework, solving a number of logical and mathematical problems that plague quantum field theory. One further advantage of QCFT is the possibility of changing the computational engine without changing the fieldtheoretical framework. One can thus consider different kind of engines, e.g. classical, quantum, superquantum, and even inputoutput networks with no preestablished causal relations, which are very interesting for addressing the problem of Quantum Gravity.
QCFT opens a large research line: I argue that this program should be addressed soon in the particle physics domain, before entering Quantum Gravity, notwithstanding the experimental success of the usual quantum field theory. It will also be the first test of the Lucien Hardy's program on Quantum Gravity.
Reference: arXiv:1001.1088 (http://arxiv.org/abs/1001.1088)
Date: 03/02/2010  4:00 pm
