Towards a unification of physics and information theory

Unification per the Relational Blockworld

We use the Relational Blockworld (RBW) interpretation of quantum mechanics to resolve the foundational problems therein. As predicted by Smolin, the resolution of these problems is not independent of the problem of unification and the nature of time. Specifically, RBW requires a theory fundamental to quantum physics in which one must explicitly construct dynamical/diachronic entities (objects obtained via trans-temporal identification) from 'relations'. We use discrete graph theory to propose heuristically the nature of this underlying theory, which is based on a self-consistency criterion for…

混合超计算：迈向量子与经典计算的统一

Hybrid hypercomputing: towards a unification of quantum and classical computation

本文提出物理因果且局部的图形演算，以统一刻画混合量子-经典计算的信息流与资源使用，并为混合量子计算建立高层模型。

Unification and Emergence in Physics: the Problem of Articulation

What is physics? What are the limits of what physics can say about the world? In seeking ever-broader theoretical `umbrellas' for physical phenomena, we are seeking unifying principles. Emergent phenomena have turned out to be some of the most difficult to explain, causing a `clash of umbrellas' so-to-speak, at the interface between the quantum and classical domains. This essay explores the role of articulation in this particularly vexing problem and ultimately addresses the question of whether the language and mathematics we use to describe the universe is sufficient in its present form and a…

Unification and Extension of Classic Information Principles

To formulate a universal framework of information theory is beneficial. This study proves that the sextuple model of the objective information theory (OIT) is a sufficient and necessary condition for discussing information with four basic postulations. It is demonstrated for each metric defined in the OIT, there is a corresponding example in classical information theories or commonly used principles. Furthermore, atomic information is defined as the indivisible elementary information and the volume additivity is proven for combinations of atomic information. Consequently, the information volum…

Unification of different views of decoherence and discord

Macroscopic behavior such as the lack of interference patterns has been attributed to "decoherence", a word with several possible definitions such as (1) the loss of off-diagonal density matrix elements, (2) the flow of information to the environment, (3) the loss of complementary information, and (4) the loss of the ability to create entanglement in a measurement. In this article, we attempt to unify these distinct definitions by providing general quantitative connections between them, valid for all finite-dimensional quantum systems or quantum processes. The most important application of our…

经典与量子物理的语境统一

Contextual unification of classical and quantum physics

本文基于冯·诺依曼的无限张量积思想，指出可数无穷多自由度导致希尔伯特空间维数不可数无穷、酉等价性丧失与扇区化，并以此构建统一量子与经典物理的数学模型，自然描述“海森堡切割”。