# The Equivalence Principle as a Symmetry

@article{Wesson2003TheEP, title={The Equivalence Principle as a Symmetry}, author={Paul S. Wesson}, journal={General Relativity and Gravitation}, year={2003}, volume={35}, pages={307-317} }

It is shown that the extra coordinate of 5D induced-matter and membrane theory is related in certain gauges to the inertial rest mass of a test particle. This implies that the Weak Equivalence Principle is a geometric symmetry, valid only in the limit in which the test mass is negligible compared to the source mass. Exact solutions illustrate this, and show the way to possible resolutions of the cosmological-constant and hierarchy problems.

## 13 Citations

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## References

SHOWING 1-10 OF 52 REFERENCES

### Mass and charge from higher dimensional geometry

- Physics
- 1997

We explore ways in which phenomenological physical quantities such as the rest mass and electric charge of a particle could be explained as properties of higher dimensional geometry. In 5D, it is…

### On higher-dimensional dynamics

- Physics
- 2002

Technical results are presented on motion in N(>4)D manifolds to clarify the physics of brane theory, Kaluza–Klein theory, induced-matter theory, and string theory. The so-called canonical or warp…

### Dynamics in Kaluza-Klein Gravity and a Fifth Force

- Physics
- 1998

Using a novel coordinate system, we rederive the field equations and equa tions of motion for 5-dimensional relativity in the general case where the metric can depend on all 5 coordinates (i.e.,…

### A Class of Kaluza-Klein Solutions Curved in 4D and Flat in 5D

- Physics, Mathematics
- 1998

We give a broad class of solutions of the Kaluza-Klein equations that is static, spherically symmetric in 3D, curved in 4D and flat in 5D. These solutions generalize others that have been applied in…

### Extra Force in Brane Worlds

- Physics
- 2000

By carefully analyzing the geodesic motion of a test particle in the bulk of brane worlds, we identify an extra force which is recognized in spacetime of one lower dimensions as a non-gravitational…