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Information-theoretic derivation of free quantum field theory

机译：自由量子场理论的信息 - 理论推导

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Recently the new information-theoretic paradigm of physics advocated by John Archibald Wheeler and Richard Feynman has concretely shown its full power, with the derivation of quantum theory and of free quantum field theory from informational principles. The paradigm has opened for the first time the possibility of avoiding physical primitives in the axioms of the physical theory, allowing a re-foundation of the whole physics over logically solid grounds. In addition to such methodological value, the new information-theoretic derivation of quantum field theory is particularly interesting for establishing a theoretical framework for quantum gravity, with the idea of obtaining gravity itself as emergent from the quantum information processing, as also suggested by the role played by information in the holographic principle. In this lecture notes I review how free quantum field theory is derived without using mechanical primitives, including space-time, special relativity, Hamiltonians, and quantization rules. The theory is provided by the simplest quantum algorithm encompassing a countable set of quantum systems whose network of interactions satisfies the three following simple principles: homogeneity, locality, and isotropy. The inherent, discrete nature of the informational derivation leads to an extension of quantum field theory in terms of a quantum cellular automata and quantum walks. A simple heuristic argument sets the scale to the Planck one, and the currently observed regime where discreteness is not visible is the so-called "relativistic regime" of small wave vectors, which holds for all energies ever tested (and even much larger), where the usual free quantum field theory is perfectly recovered. In the present quantum discrete theory Einstein relativity principle can be restated without using space-time in terms of invariance of the eigenvalue equation of the automaton/walk under change of representations. Distortions of the Poincaré group emerge at the Pla
机译：最近，John Archibald Wheeler和Richard Feynman主张的物理学的新信息 - 理论范式已经具体地示出了它的全部力量，从信息原则中推出了量子理论和自由量子理论。 PARADIGM首次开通了避免物理理论的公理中的物理原语的可能性，允许整个物理的重建在逻辑上的实际基础上。除了这种方法的价值之外，对于量子重力建立理论框架，量子场理论的新信息 - 理论推导器特别有趣，因为在Quantum信息处理中获取重力本身的想法，如同作用所提出的建议通过全息原则的信息播放。在本讲义中，我审查了无需使用机械原语的情况下得出免费量子场理论，包括时空，特殊相对性，哈密顿人和量化规则。该理论是由最简单的量子算法提供，包括一组数量的量子系统，其交互网络满足以下三个简单原理：同质性，地区和各向同性。信息衍生的固有的离散性质导致量子蜂窝自动机和量子走动方面的量子场理论的延伸。一个简单的启发式论点将比例设置为普朗克，而当前观察到的制度是不可见的，其中不可见的是小波矢量的所谓的“相对论制度”，其适用于曾经测试过的所有能量（甚至更大），如果通常的自由量子场理论完全恢复。在本发明的Quantum离散的理论中，爱因斯坦相对性原理可以在不使用自动价的特征值方程的不变性方面进行恢复原理，在陈述的变化下的自动化/行动的行动方程的不变性。 Poincaré集团的扭曲出现在PLA

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