# LETTER TO THE EDITOR: On the dimensionality of spacetime

@article{Tegmark1997LETTERTT, title={LETTER TO THE EDITOR: On the dimensionality of spacetime}, author={Max Tegmark}, journal={Classical and Quantum Gravity}, year={1997}, volume={14} }

Some superstring theories have more than one effective low-energy limit corresponding to classical spacetimes with different dimensionalities. We argue that all but the (3 + 1)-dimensional one might correspond to `dead worlds', devoid of observers, in which case all such ensemble theories would actually predict that we should find ourselves inhabiting a (3 + 1)-dimensional spacetime. With more or less than one time dimension, the partial differential equations of nature would lack the…

## 35 Citations

### Existence of life in 2 + 1 dimensions

- PhilosophyPhysical Review Research
- 2020

There are anthropic reasons to suspect that life in more than three spatial dimensions is not possible, and if the same could be said of fewer than three, then one would have an anthropic argument…

### The Planck Length and the Constancy of the Speed of Light in Five Dimensional Spacetime Parametrized with Two Time Coordinates

- Physics
- 2016

In relativity and quantum field theory, the vacuum speed of light is assumed to be constant; the range of validity of general relativity is determined by the Planck length. However, there has been no…

### Gravothermal phase transition, black holes and space dimensionality

- PhysicsPhysical Review D
- 2022

In the framework of gravothermal evolution of an ideal monatomic ﬂuid, I examine the dynamical instability of the ﬂuid sphere in ( N +1) dimensions by exploiting Chandrasekhar’s criterion to each…

### Absolute Spacetime: The Twentieth Century Ether

- Physics
- 1999

All gauge theories need “somethingfixed” even as “something changes.”Underlying the implementation of these ideas all majorphysical theories make indispensable use of anelaborately designed spacetime…

### Implications of Kleinian relativity

- Physics
- 2020

Inspired in metamaterials, we present a covariant mechanics for particles in Kleinian spacetime and show some of its effects, such as time contraction and length dilatation. We present the new…

### Spacetime Dimensionality from de Sitter Entropy

- Physics
- 2011

We argue that de Sitter universes with a small cosmological constant are entropically favored to have three spatial dimensions. The conclusion relies on the causal-patch description of de Sitter…

### Vacuum and Spacetime Signature in the Theory of Superalgebraic Spinors

- MathematicsUniverse
- 2019

A new formalism involving spinors in theories of spacetime and vacuum is presented. It is based on a superalgebraic formulation of the theory of algebraic spinors. New algebraic structures playing…

### Newtonian Cosmology Modified by Dark Energy

- Physics
- 2012

The concepts dark matter and dark energy are commonly used to explain the universe. The dark energy can be conceived as a property of vacuum or the ether. However, a quite different but also common…

### Explanation and the dimensionality of space

- PhilosophySynthese
- 2014

It is argued that Kant correctly approached the question of why space has three dimensions by connecting space dimensionality and the inverse square law and described the main features of a general Kantian explanation of the dimensionality of space.

## References

SHOWING 1-10 OF 31 REFERENCES

### Schwarzschild field inn dimensions and the dimensionality of space problem

- Physics
- 1963

SummaryThe fact that our present laws of physics admit of a formal extension to spaces of an arbitrary number of dimensions suggests that there must be some principle (or principles) operative which…

### Possibility of Faster-Than-Light Particles

- Physics
- 1967

We consider the possibility of describing, within the special theory of relativity, particles with spacelike four-momentum, which therefore have velocities greater than that of light in vacuum. The…

### Predictions from quantum cosmology.

- PhysicsPhysical review letters
- 1995

The picture that has emerged from this line of development is that a small closed universe can spontaneously nucleate out of nothing, where by ‘nothing’ I mean a state with no classical space and time.

### Particle Physics and Inflationary Cosmology

- Physics, EducationPhysics Today
- 1987

With the invention of unified theories of strong, weak, electromagnetic and gravitational interactions, elementaryparticle physics has entered a very interesting and unusual stage of its development.…

### The Anthropic Cosmological Principle

- Physics
- 1986

Is there any connection between the vastness of the universes of stars and galaxies and the existence of life on a small planet out in the suburbs of the Milky Way? This book shows that there is. In…

### Cognizable worlds: The anthropic principle and the fundamental constants of nature

- Philosophy
- 1989

Can the anthropic principle be used to understand the values of the fundamental constants of nature and, conversely, can the existence of life be said to arise from a remarkable feat of fine tuning…

### Resource Letter AP‐1: The anthropic principle

- Education
- 1991

This Resource Letter provides a guide to the literature on the anthropic principle. The letter E after an item indicates elementary level or material of general interest to persons becoming informed…

### Methods of Mathematical Physics

- Education, PhysicsNature
- 1947

The following people have maintained these notes.

### Nuovo Cim

- 27, 636
- 1963