# Stochastic Foundation of Quantum Mechanics and the Origin of Particle Spin

@article{Fritsche2009StochasticFO, title={Stochastic Foundation of Quantum Mechanics and the Origin of Particle Spin}, author={Lothar Fritsche and M. Haugk}, journal={arXiv: General Physics}, year={2009} }

The present contribution is based on the assumption that the probabilistic character of quantum mechanics does not originate from uncertainties caused by the process of measurement or observation, but rather reflects the presence of objectively existing vacuum fluctuations whose action on massive particles is calibrated by Planck's constant and effects an additional irregular motion. We describe a one-particle system by introducing two equally large sub-ensembles for each of which one obtains…

## 18 Citations

### The Phenomenological Stochastic Approach: A Short Route to Quantum Mechanics

- Physics
- 2015

In preparation for the chapters that follow, this one offers an introduction to the study of quantum mechanics as a stochastic process, in the form of a basic phenomenological theory knownNelson…

### Entropic dynamics, time and quantum theory

- Physics
- 2011

Quantum mechanics is derived as an application of the method of maximum entropy. No appeal is made to any underlying classical action principle whether deterministic or stochastic. Instead, the basic…

### A classical, elementary approach to the foundations of Quantum Mechanics

- Physics
- 2011

Elementary particles are found in two different situations: (i) bound to metastable states of matter, for which angular momentum is quantized, and (ii) free, for which, due to their high…

### A Classical Explanation of Quantization

- Physics
- 2011

In the context of our recently developed emergent quantum mechanics, and, in particular, based on an assumed sub-quantum thermodynamics, the necessity of energy quantization as originally postulated…

### Stochastic emergent quantum gravity

- PhysicsClassical and Quantum Gravity
- 2018

We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to…

### Towards a mathematical Theory of the Madelung Equations

- Physics
- 2022

Even though the Madelung equations are central to many ‘classical’ approaches to the foundations of quantum mechanics such as Bohmian and stochastic mechanics, no coherent mathematical theory has…

### Classical Elastic Two-Particle Collision Energy Conservation using Edward Nelson's Energy, Double Diffusion and Special Relativity

- Physics
- 2022

The present paper shows that Edward Nelson’s stochastic mechanics approach for quantum mechanics can be derived from two classical elastically colliding particles with masses M and m satisfying a…

### Hydrodynamics of the Physical Vacuum: I. Scalar Quantum Sector

- PhysicsFoundations of Physics
- 2016

Physical vacuum is a special superfluid medium. Its motion is described by the Navier–Stokes equation having two slightly modified terms that relate to internal forces. They are the pressure gradient…

### Stochastic quantization of relativistic theories

- PhysicsJournal of Mathematical Physics
- 2021

It was shown recently that stochastic quantization can be made into a well defined quantization scheme on (pseudo-)Riemannian manifolds using second order differential geometry, which is an extension…

## References

SHOWING 1-10 OF 13 REFERENCES

### Quantum Theory of Measurement

- Physics
- 1986

Quantum mechanics was discovered sixty-one years ago in 1925. It began with Heisenberg’s introduction of matrix mechanics, which was followed by Schrodinger finding his wave equation. Then Dirac gave…

### The quantum theory of measurement

- Physics
- 1991

The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space…

### The principles of magnetic resonance.

- PhysicsBritish medical bulletin
- 1989

The simplified description of the phenomena involved in MR is intended to be comprehensive and does not require foreknowledge of classical physics, quantum mechanics, fluency with mathematical formulae or an understanding of image reconstruction.