• Corpus ID: 119278298

When effective theories predict: the inevitability of Mercury's anomalous perihelion precession

@inproceedings{Wells2011WhenET,
  title={When effective theories predict: the inevitability of Mercury's anomalous perihelion precession},
  author={James D. Wells},
  year={2011}
}
  • J. Wells
  • Published 8 June 2011
  • Physics, Geology
If the concepts underlying Effective Theory were appreciated from the ear-liest days of Newtonian gravity, Le Verrier’s announcement in 1845 of the anomalous perihelion precession of Mercury would have been no surprise. Furthermore, the size of the effect could have been anticipated through “naturalness” arguments well before the definitive computation in General Relativity. Thus, we have an illustration of how Effective Theory concepts can guide us in extending our knowledge to “new physics”, and… 

Tables from this paper

What Effect Does a Spinning Sun Have on the Advance of Mercury's Perihelion?: a Comment on Arxiv:1106.1568

Mercury precesses 5600 seconds of arc per century. Newtonian celestial mechanics accounts for only 5557 arc seconds, leaving a discrepancy of 43”. In 1859, Urbain Le Verrier, considering all the

Laplace and the Speed of Gravity

By the 1600’s evidence had accumulated that the length of a lunar month in Earth days was slowly decreasing with time, which led to various speculations as to why this might be so, including

A primer to numerical simulations: the perihelion motion of Mercury

It is suggested to use a numerical study of the famous perihelion motion of the planet Mercury as a test case to teach numerical simulations to high school students.

Special Relativity and the Precession of the Perihelion

per revolution, where G is Newton’s gravitational constant, M is the (rest) mass of the Sun, the orbit has semimajor axis a and eccentricity , c is the speed of light in vacuum, and T 2 = 4πa/GM

Parametric-resonance based phenomenology of gravitating axion configurations

One of the most compelling candidates for Dark Matter (DM) are light pseudo-scalar particles (axions), motivated by the strong CP problem and axiverse scenario in string theory. Depending on their

Periapsis shift and deflection of light by hairy black holes

We investigate the orbit equations and the eikonal equation for light respectively, under influence of the hairy black holes (asymptotically flat) in four dimensions. We consider two hairy black hole

Spacetime as a Whole

There is no formal difference between particles and black holes. This formal similarity lies in the intersection of gravity and quantum theory; quantum gravity. Motivated by this similarity,

Deterministic and Random Perturbations of the Kepler Problem

We investigate perturbations in the Kepler problem. We offer an overview of the dy-namical system using Newtonian, Lagrangian and Hamiltonian Mechanics to build a foundation for analyzing

Relativity of Energy

After proposing the Principle of Minimum Gravitational Potential, in a pursuit to find the explanation behind the correction to Newton's gravitational potential that accounts for Mercury's orbit, by

References

SHOWING 1-10 OF 31 REFERENCES

Quantum theory of gravitation vs. classical theory. - fourth-order potential

The perihelion-motion of Mercury depends on the fourth-order potential in quantum field theory; it is a "Lamb shift ". In spite of the unrenormalizability of the theory, we have extracted a finite

The Principia : Mathematical Principles of Natural Philosophy

In his monumental 1687 work "Philosophiae Naturalis Principia Mathematica", known familiarly as the "Principia", Isaac Newton laid out in mathematical terms the principles of time, force, and motion

The Theory of Relativity

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

Gravity: An Introduction to Einstein's General Relativity

General relativity is one of the cornerstones of modern physics. In spite of this, the teaching of general relativity at undergraduate level remains quite marginal. The reasons for this particular

Effective Field Theory, Past and Future

This is a written version of the opening talk at the 6th International Workshop on Chiral Dynamics, at the University of Bern, Switzerland, July 6, 2009, to be published in the proceedings of the

General relativity as an effective field theory: The leading quantum corrections.

  • Donoghue
  • Physics
    Physical review. D, Particles and fields
  • 1994
The treatment of gravity is described as a quantum effective field theory that allows a natural separation of the low energy quantum effects from the high energy contributions, and the leading quantum corrections to the gravitational interaction of two heavy masses are calculated.

Common sense, the history, and the Theory of Relativity Common sense, the history, and the Theory of Relativity Common sense, the history, and the Theory of Relativity Common sense, the history, and the Theory of Relativity

The relationship between modern physics and common sense is discussed by investigating whether there is any substantial role left for the latter in the scientific activity. It is shown that ordinary

Kritik des Newtonschen Gravitationsgesetzes

Das Grundgesetz der Gravitation wurde zuerst von Newton 1) erkannt und im dritten Bande seiner „Philosophiae naturalis principia mathematica“. Prop. I–VIII ausgesprochen. Es lautet: Befinden sich

Classical theory of fields

The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a

TASI Lectures on Effective Field Theories

These notes are a written version of a set of lectures given at TASI-02 on the topic of effective field theories. They are meant as an introduction to some of the latest techniques and applications