# 3D-Space and the preferred basis cannot uniquely emerge from the quantum structure

@inproceedings{Stoica20213DSpaceAT, title={3D-Space and the preferred basis cannot uniquely emerge from the quantum structure}, author={Ovidiu Cristinel Stoica}, year={2021} }

Hilbert-Space Fundamentalism (HSF) states that the only fundamental structures are the quantum state vector and the Hamiltonian, and from them everything else emerge uniquely, including the 3D-space, a preferred basis, and a preferred factorization of the Hilbert space. In this article it is shown that whenever such a structure emerges from the Hamiltonian and the state vector alone, if it is physically relevant, it is not unique. Moreover, HSF leads to strange effects like"passive"travel in…

## 4 Citations

### Refutation of Hilbert Space Fundamentalism

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According to the “Hilbert Space Fundamentalism” Thesis, all features of a physical system, including the 3D-space, a preferred basis, and factorization into subsystems, uniquely emerge from the state…

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## References

SHOWING 1-10 OF 135 REFERENCES

### Reality as a Vector in Hilbert Space

- Physics
- 2021

I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schrödinger equation. The laws of physics are determined…

### Locality from the Spectrum

- MathematicsCommunications in Mathematical Physics
- 2019

It is argued that in fact, the energy spectrum alone almost always encodes a unique description of local degrees of freedom when such a description exists, allowing one to explicitly identify local subsystems and how they interact.

### Der stetige Übergang von der Mikro- zur Makromechanik

- BiologyNaturwissenschaften
- 2005

v o n d e r Achse nur einen Betrag yon 0 " , i 8 erreicht und dem EINSTEINeffekte entgegengesetzt ist, so dab die Resultate yon CAMPBELL nicht dutch denselben beeintr~chtigt werden. Ich muI3 nur…

### Decoherence

- Physics, Computer SciencePrinciples of Quantum Computation and Information
- 2018

It is investigated here how the standard cryptographic assumption of shielded laboratory, stating that data generated by a secure quantum device remain private unless explicitly published, is disturbed by the einselection mechanism of quantum Darwinism explaining the measurement process by interaction with the external environment.

### Solving the Measurement Problem: De Broglie--Bohm Loses Out to Everett

- Physics
- 2005

Abstract The quantum theory of de Broglie and Bohm solves the measurement problem, but the hypothetical corpuscles play no role in the argument. The solution finds a more natural home in the Everett…

### Decoherence and the quantum-to-classical transition

- Physics
- 2008

Introducing Decoherence.- The Basic Formalism and Interpretation of Decoherence.- Decoherence Is Everywhere: Localization Due to Environmental Scattering.- Master-Equation Formulations of…

### The Many-worlds interpretation of quantum mechanics

- Physics
- 2015

This volume contains Dr. Everett's short paper from 1957, "'Relative State' Formulation of Quantum Mechanics," and a far longer exposition of his interpretation, entitled "The Theory of the Universal Wave Function," never before published.