## 2 Citations

### Everettian Mechanics with Hyperfinitely Many Worlds

- MathematicsErkenntnis
- 2022

The present paper shows how one might model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of observables with…

### J un 2 02 1 EVERETTIAN MECHANICS WITH HYPERFINITELY MANY WORLDS

- Physics
- 2021

The present paper shows how onemight model Everettian quantum mechanics using hyperfinitely many worlds. A hyperfinite model allows one to consider idealized measurements of observables with…

## 8 References

### An approach to nonstandard quantum mechanics

- Physics, Mathematics
- 2004

We use nonstandard analysis to formulate quantum mechanics in hyperfinite-dimensional spaces. Self-adjoint operators on hyperfinite-dimensional spaces have complete eigensets, and bound states and…

### Hyperfinite extensions of bounded operators on a separable Hilbert space

- Mathematics
- 1976

Let H be a separable Hilbert space and H the nonstandard hull of H with respect to an Kj-saturated enlargement. Let S be a *finite dimensional subspace of *H such that the corresponding hyperfinite…

### An Invitation to Nonstandard Analysis and its Recent Applications

- MathematicsNotices of the American Mathematical Society
- 2019

DOI: https://doi.org/10.1090/noti1895 approximate groups. However, its roots go back to Robinson’s formalization of the infinitesimal approach to calculus. After first illustrating its very basic…

### Loeb Measure and Probability

- Mathematics
- 1997

In these notes I give an introduction to nonstandard measure theory and probability theory. As with any short introduction, the number of topics that can be covered is a tiny subset of all that one…

### A Course In Functional Analysis

- Education
- 2016

A course in functional analysis is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.

### Real and complex analysis, McGraw-Hill Series in Higher Mathematics

- Email address: isaac@math.uci.edu URL: http://www.math.uci.edu/~isaac
- 1986

### Loeb measure and probability, Nonstandard Analysis: Theory and Applications

- NATO ASI Series
- 1997