# Is there a physical continuum?

@inproceedings{Csand2021IsTA, title={Is there a physical continuum?}, author={M{\'a}t{\'e} Csan{\'a}d}, year={2021} }

We are used to the fact that most if not all physical theories are based on the set of real numbers (or another associative division algebra). These all have a cardinality larger than that of the natural numbers, i.e. form a continuum. It is often asked, whether there really is a continuum in the physical world, or whether a future physical theory could work with just countable infinities. The latter could for example be compatible with a quantized space-time. In this paper we formulate a… Expand

#### Figures from this paper

#### References

SHOWING 1-8 OF 8 REFERENCES

Consistency of the Continuum Hypothesis

- 2005

One of the basic results in set theory is that the cardinality of the power set of the natural numbers is the same as the cardinality of the real numbers, which is strictly greater than the… Expand

The Octonions

- Mathematics, Physics
- 2001

The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics.… Expand

Descartes' Mathematics

- The Stanford Encyclopedia of Philosophy
- 2021

The Universe's Clock Might Have Bigger Ticks Than We Imagine

- Scientific American
- 2020

Are Space And Time Quantized? Maybe Not, Says Science

- 2018

THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS.

- Mathematics, Medicine
- Proceedings of the National Academy of Sciences of the United States of America
- 1963