Spatio-Temporal Continuity, Quantum Theory and Music

Binggong Chang Wang Dekui

This paper re-examines the fundamental question “Does quantum computation undermine the Church-Turing Thesis (CT Thesis)” within a unified framework integrating Three-Rotation Theory (TRT) and Spatio-Temporal Ladder Theory (STLT). We demonstrate that: (1) Current mainstream quantum computers based on spherical quantum spin models, whose topological states are limited to 8 trivial spin states, cannot transcend the recursive constraints of the CT Thesis; (2) Computational systems based on loop quantum three-rotation models, containing non-trivial thread-rotations (62 topological states), can directly couple with the Qi-field () of STLT, connecting to 6-dimensional and higher meta-spatio-temporal realms, thereby possessing the capacity to solve non-recursive problems; (3) Soliton propagation in DNA double helices represents the natural implementation of loop quantum three-rotation in living organisms, with the soliton field and the Qi-field satisfying a rigorous mathematical correspondence (, SG equation -field nonlinear dynamics), demonstrating that biological cognition has empirically transcended the CT Thesis. We establish the complete mathematical framework for soliton-Qi-field coupling, providing a physical foundation for understanding consciousness, intuition, and creative thinking, while charting a direction for future topological quantum computer design.

Thomas Brennan

Erik C. Banks

Grete Hermann’s essay “Die naturphilosophischen Grundlagen der Quantenmechanik” (1935) has received much deserved scholarly attention in recent years. In this paper, I follow the lead of Elise Crull (2017) who sees in Hermann’s work the general outlines of a neo-Kantian interpretation of quantum theory. In full support of this view, I focus on Hermann’s central claim that limited spatio-temporal, and even analogically causal, representations of events exist within an overall relational structure of entangled quantum mechanical states that defy any unified spatio-temporal description. In my view, Hermann also advances an important transcendental argument that perspectival spatio-temporal representations of nature have their foundations in general relational networks that are not spatio-temporal. The key point is that the adoption of a perspectival system within the general network induces the representation but only for that context. These ideas are consistent with a perspectival subject–object principle in Kant and also with Weyl’s work on Lie groups and their representations.

María Luisa Dalla Chiara, Roberto Giuntini, Eleonora Negri

Thomas Noll, Felix Pastor Olives, Pedro González-Fernández +1 more

Abstract This article reports on a series of mathe-musical experiments based on the dynamic behavior of a musical quantum model of C-major tonality. The model reinterprets empirical pitch-class profiles of tonal attraction in C-major as the probability wave function of a one-dimensional stationary ground state within a perturbed quantum harmonic oscillator. By solving the associated time-dependent Schrödinger equation, we assign specific temporal evolutions to any given initial state. We explore two distinct sonification strategies: First, the time-evolutions of various initial states—in particular deflections of the ground state and higher excited states—are used to drive a stroboscopic stratification of musical hierarchies and to set them into Minimal Music-inspired travelling note patterns. Secondly, we implement rich continuous sound processes that rely on the uninterrupted flow of the wave function. Crucially, these approaches bypass the simulation of quantum measurements; instead, they leverage the full theoretical information of the wave function’s evolution.

Micho Ðurđevich