# Spacetime orientation and the meaning of Lorentz invariance in general relativity

@article{Qian2018SpacetimeOA, title={Spacetime orientation and the meaning of Lorentz invariance in general relativity}, author={Zhongmin Qian}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2018} }

The parity violation at the level of weak interactions and other similar discrete symmetries breaking show that the invariance of laws under the full group of Lorentz transformations can not be taken granted. We examine the principle of Lorentz invariance under the general theory of relativity, and demonstrate the importance of a concept of the spacetime orientation as part of the causal structure of spacetime.

## References

SHOWING 1-10 OF 25 REFERENCES

### Forms of Relativistic Dynamics

- Physics
- 2001

Since Dirac wrote his famous article on forms of relativistic dynamics, it has been realized that the front form, or light-front dynamics, is ideally suited for the solution of the bound state…

### Relativity

- Physics, EducationAm. Math. Mon.
- 2019

The Theory of Special Relativity is an axiomatic theory, derived from two main axioms: the laws of physics are the same in all inertial frames (the principle of relativity) and the speed of light is determined by the Laws of physics.

### Gravitational collapse and spacetime singularities

- Physics
- 2009

The nature of gravitational collapse was the subject of debate and controversy for much of the last century. During the 1960’s and 1970’s our understanding of general relativity consolidated and…

### The Large Scale Structure of Space-Time

- Physics
- 1973

The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.

### The occurrence of singularities in cosmology. ɪɪɪ. Causality and singularities

- Philosophy, MathematicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1967

The questions about singularities that remain to be answered are discussed. It is shown, without any assumption about causality, that there are fully general solutions which evolve from a…

### The singularities of gravitational collapse and cosmology

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

A new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results. The theorem implies that space-time singularities are to be expected if…

### Question of Parity Conservation in Weak Interactions

- Physics
- 1956

The question of parity conservation in β decays and in hyperon and meson decays is examined. Possible experiments are suggested which might test parity conservation in these interactions.

### The Principles of Quantum Mechanics

- PhysicsNature
- 1947

IT is now twenty years since the theory of quantum mechanics was founded, and not much less since the first edition of Dirac's book was published. Ever since, it has been a classic of scientific…

### The Theory of Relativity

- MathematicsNature
- 1921

THE earlier portion of Dr. Carmichael's book is a reprint of the first edition, which received notice in NATURE for March 12, 1914. The later pages, which are grouped together under one large chapter…

### Introduction to the Theory of Relativity

- PhysicsNature
- 1942

THE number of systematic treatises on relativity is not unduly large. This is partly because, since the first few years after Einstein's announcement of the 'general' theory in 1917, it has undergone…