# The Chrono'Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles

@article{Lusanna2004TheCS, title={The Chrono'Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles}, author={Luca Lusanna}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2004} }

Since the main open problem of contemporary physics is to find a unified description of the four interactions, we present a possible scenario which, till now only at the classical level, is able to englobe experiments ranging from experimental space gravitation to atomic and particle physics. After a reformulation of special relativistic physics in a form taking into account the non-dynamical chrono-geometrical structure of Minkowski space-time (parametrized Minkowski theories and rest-frame…

## 16 Citations

### The physical role of gravitational and gauge degrees of freedom in general relativity – II: Dirac versus Bergmann observables and the objectivity of space-time

- Physics
- 2006

This is the second of a couple of papers in which we aim to show the peculiar capability of the Hamiltonian ADM formulation of metric gravity to grasp a series of conceptual and technical problems…

### Clock Synchronization, Dirac Observables and Gauge Variables in Canonical Gravity and the Objectivity of Spacetime.

- Physics
- 2006

This is a review of the chrono-geometrical structure of special and general relativity with a special emphasis on the role of non-inertial frames and of the conventions for the synchronization of…

### The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics

- Physics
- 2006

A modern re-visitation of the consequences of the lack of an intrinsic notion of instantaneous 3-space in relativistic theories leads to a reformulation of their kinematical basis emphasizing the…

### Dynamical Emergence of Instantaneous 3-Spaces in a Class of Models of General Relativity

- Physics
- 2006

The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole…

### New Directions in Non-Relativistic and Relativistic Rotational and Multipole Kinematics for N-Body and Continuous Systems

- Physics
- 2005

In non-relativistic mechanics the center of mass of an isolated system is easily separated out from the relative variables. For a N-body system these latter are usually described by a set of Jacobi…

### Canonical Gravity and Relativistic Metrology: from Clock Synchronization to Dark Matter as a Relativistic Inertial Effect

- Physics
- 2011

Clock synchronization leads to the definition of instantaneous 3-spaces (to be used as Cauchy surfaces) in non-inertial frames, the only ones allowed by the equivalence principle. ADM canonical…

### Post-Minkowskian Gravity: Dark matter as a relativistic inertial effect?

- Physics
- 2009

Talk at the 1st Mediterranean Conference in Classical and Quantum Gravity, held in the Orthodox Academy of Crete in Kolymbari (Greece) from Monday, September 14th to Friday, September 18th, 2009. A…

### The Einstein-Maxwell-Particle System in the York Canonical Basis of ADM Tetrad Gravity: I) The Equations of Motion in Arbitrary Schwinger Time Gauges

- Physics
- 2009

We study the coupling of N charged scalar particles plus the electro-magnetic field to ADM tetrad gravity and its canonical formulation in asymptotically Minkowskian space-times without…

### The York Map and the Role of Non-inertial Frames in the Geometrical View of the Gravitational Field

- Physics
- 2010

The role of non-inertial frames in a class of models of general relativity is clarified by means of Dirac’s theory of constraints. The identification of a York canonical basis allows to give the…

### Non-Inertial Frames in Special and General Relativity

- Physics
- 2016

A theory of global non-inertial frames in special relativity is developed by taking into account relativistic metrology and by avoiding the coordinate singularities of the rotating disk and of Fermi…

## References

SHOWING 1-10 OF 87 REFERENCES

### The physical role of gravitational and gauge degrees of freedom in general relativity – II: Dirac versus Bergmann observables and the objectivity of space-time

- Physics
- 2006

This is the second of a couple of papers in which we aim to show the peculiar capability of the Hamiltonian ADM formulation of metric gravity to grasp a series of conceptual and technical problems…

### The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity - I: Dynamical Synchronization and Generalized Inertial Effects

- Physics
- 2004

This is the ﬁrst of a couple of papers in which the peculiar capabilities of the Hamiltonian approach to general relativity are exploited to get both new results concerning speciﬁc technical issues,…

### The N- and 1-Time Classical Descriptions of N-Body Relativistic Kinematics and the Electromagnetic Interaction

- Physics
- 1997

Given N relativistic scalar free particles described by N mass-shell first class constraints in their 8N-dimensional phase space, their N-time description is obtained by means of a series of…

### General covariance and the objectivity of space-time point events: The Physical role of gravitational and gauge degrees of freedom in general relativity

- Physics
- 2003

(Abridged Abstract) This paper deals with a number of technical achievements that are instrumental for a dis-solution of the so-called {\it Hole Argument} in general relativity. The work is carried…

### Ephemeral Point-Events: Is There a Last Remnant of Physical Objectivity?

- Philosophy
- 2002

For the past two decades, Einstein's Hole Argument (which deals with the apparent indeterminateness of general relativity due to the general covariance of the field equations) and its resolution in…

### Relativistic Phase Shifts for Dirac Particles Interacting with Weak Gravitational Fields in Matter—Wave Interferometers

- Physics
- 2001

We present a second-quantized field theory of massive spin one-half particles or antiparticles in the presence of a weak gravitational field treated as a spin two external field in a flat Minkowski…

### The coordinate group symmetries of general relativity

- Physics
- 1972

The symmetry group of special relativistic theories, the Poincar6 group, was imposed on physical theories to mirror the symmetries of the laws of nature under point mappings of the presumed…

### Review: Dirac's Observables for the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge

- Physics
- 2001

We define the rest-frame instant form of tetrad gravity restricted to Christodoulou-Klainermann spacetimes. After a study of the Hamiltonian group of gauge transformations generated by the 14 first…

### Review: Hamiltonian Linearization of the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge: A Radiation Gauge for Background-Independent Gravitational Waves in a Post-Minkowskian Einstein Spacetime

- Physics
- 2004

AbstractIn the framework of the rest-frame instant form of tetrad gravity, where the Hamiltonian is the weak ADM energy
$$\hat E_{ADM}$$
, we define a special completely fixed 3-orthogonal…

### Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form

- Physics
- 2002

A relativistic kinematics for the N-body problem which solves all the problems raised until now on this topic is constructed by exploting the Wigner-covariant rest-frame instant form of dynamics in…