Extreme-value statistics of dimensions determining an observer's branch of the world?

Modelling an observer's branch of extremal consciousness

Extreme-order statistics is applied to the branches of an observer in a many-worlds framework. A unitary evolution operator for a step of time is constructed, generating pseudostochastic behaviour with a power-law distribution when applied repeatedly to a particular initial state. The operator models the generation of records, their dating, the splitting of the wavefunction at quantum events, and the recalling of records by the observer. Due to the huge ensemble near an observer's end, the branch with the largest number of records recalled contains almost all "conscious dimension".

量子观测者可以在多元宇宙分支间通信

Quantum observers can communicate across multiverse branches

本文通过 Wigener 朋友情景展示量子观测者可在多元宇宙分支间通信，利用量子控制实现信息传递，挑战了传统观念，并提出用知识创造悖论测试 Everett 量子理论。

Determining the output port from the distance

In this paper we discuss the following scenario. Suppose that two distant observers share an entangled state of two $D$-level systems. The two observers, Alice and Bob, have to send randomly their particles through a multi-input multi-output device. The task is to determine the nature of this device or black-box, such that Alice will be able to determine with certainty the output port of Bob's particle. We prove that this black-box is the multi-input-port quantum sorter. Further, we investigate if it is possible to determine the output port in the case when three observers are involved by anal…

Toy observer in unitary evolution: Histories, consciousness, and state reduction

For a toy version of a quantum system with a conscious observer, it is demonstrated that the many-worlds problem is solved by retreating into the conscious subspace of an entire observer history. In every step of a discretised time, the observer tries to "see" records of his past and present in a coherent temporal sequence, by scanning through a temporal fine-graining cascade. The extreme most likely occurs at the end of some branch, thus determining observer's world line. The relevant neurons, each with two dimensions, are power-law distributed in number, so order statistics implies that cons…

The measure problem in no-collapse (many worlds) quantum mechanics

We explain the measure problem (cf. origin of the Born probability rule) in no-collapse quantum mechanics. Everett defined maverick branches of the state vector as those on which the usual Born probability rule fails to hold -- these branches exhibit highly improbable behaviors, including possibly the breakdown of decoherence or even the absence of an emergent semi-classical reality. Derivations of the Born rule which originate in decision theory or subjective probability (i.e., the reasoning of individual observers) do not resolve this problem, because they are circular: they assume, a priori…

集合论与多世界

Set Theory and Many Worlds

本文提出用集合论重构多世界解释，将宇宙视为由宏观同构、微观构型各异的元素宇宙组成的集合，分支作为具有概率测度的子集，从而为分裂前的客观概率和测量前不确定性提供基础，并使多伊奇-华莱士论证纳入一般概率论。