# Center of mass in special and general relativity and its role in an effective description of spacetime

@article{Chryssomalakos2009CenterOM, title={Center of mass in special and general relativity and its role in an effective description of spacetime}, author={Chryssomalis Chryssomalakos and H. Hernandez-Coronado and Elias Okon}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2009}, volume={174}, pages={012026} }

In this contribution, we suggest the approach that geometric concepts ought to be defined in terms of physical operations involving quantum matter. In this way it is expected that some (presumably nocive) idealizations lying deep within the roots of the notion of spacetime might be excluded. In particular, we consider that spacetime can be probed only with physical (and therefore extended) particles, which can be effectively described by coordinates that fail to commute by a term proportional… Expand

#### 4 Citations

The Other Half of Quantum Geometry: A First Glimpse

- Physics
- 2014

We point out that a proper treatment of quantum gravity ought to take into account the quantum nature of the probes used to unravel spacetime geometry. As a first step in this direction, we use… Expand

Extracting Geometry from Quantum Spacetime

- Physics
- 2018

Any acceptable quantum gravity theory must allow us to recover the classical spacetime in the appropriate limit. Moreover, the spacetime geometrical notions should be intrinsically tied to the… Expand

On the Status of the Equivalence Principle in Quantum Gravity

- Physics
- 2009

Project Abstract: We argue that further substantial advancement in quantum gravity may remain elusive until a clarication of crucial conceptual problems is achieved. In particular, we believe that a… Expand

#### References

SHOWING 1-10 OF 13 REFERENCES

The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles

- Physics
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1948

The Newtonian definition of the mass-centre can be generalized to the restricted theory of relativity in several ways. Three in particular lead to fairly simple expressions in terms of instantaneous… Expand

Towards a first-principles approach to spacetime noncommutativity

- Physics
- 2007

Our main thesis in this note is that if spacetime noncommutativity is at all relevant in the quantum gravitational regime, there might be a canonical approach to pinning down its form. We start by… Expand

The center-of-mass in Einsteins theory of gravitation

- Mathematics
- 1967

We prove the existence and uniqueness of a center-of-mass line as well as a center-of-motion line, the latter due toG. Dixon, 1964. The validity of the theorems depends on some assumptions listed in… Expand

Dynamics of extended bodies in general relativity. I. Momentum and angular momentum

- Physics
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1970

Definitions are proposed for the total momentum vector pα and spin tensor Sαβ of an extended body in arbitrary gravitational and electromagnetic fields. These are based on the requirement that a… Expand

On a pointlike relativistic massive and spinning particle

- Physics
- 1984

A pointlike massive and spinning relativistic particle is described as a confined system of two massless directly interacting spinning constituents. The approach is Hamiltonian. The employed phase… Expand

A covariant multipole formalism for extended test bodies in general relativity

- Physics
- 1964

SummaryA discussion and criticism is given of various forms that have been put forward for the multipole theory of an extended test body in curved space-time, and a new treatment is proposed, in… Expand

The classical mechanics for bose-fermi systems

- Physics
- 1976

SummaryIn this paper we study in a systematic way the classical mechanics of systems described byc-number variables and by Grassmann variables. We derive the general form of the nonrelativistic… Expand

J. Math. Phys

- J. Math. Phys
- 1984

Casalbouni R Nuovo Cimento A

- Casalbouni R Nuovo Cimento A
- 1976

Commun. Math. Phys

- Commun. Math. Phys
- 1967