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According to Albert Einstein (1897-1955), free-falling and feeling weightless are intrinsically linked. If a person were in free-fall under gravity, for example, diving towards the Earth from an airplane, they would feel completely weightless. Similarly, a person descending in a lift may feel partially weightless. Broadly speaking, it is assumed that an object in a uniform gravitational field and an object undergoing constant acceleration in the absence of gravity are under the same...
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When an object is dropped, it accelerates toward the center of the Earth. If the net external force on the object is its weight, it is said to be in free fall; that is, the only force acting on the object is gravity. Galileo was instrumental in showing that, in the absence of air resistance, all objects fall with the same acceleration g. However, when objects on the Earth fall downward, they are never truly in free fall, because there is always some upward resistance force from the air acting...
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Our everyday observation tells us that all objects close to the Earth naturally tend to fall to the ground. Early philosophers assumed that this downward force was unique to Earth. By the 16th century, Nicolaus Copernicus (1473-1543) put forward the heliocentric theory, which suggested that Earth and other planets orbited the sun, while the Moon orbited the Earth. However, it was Isaac Newton (1642-1727) who linked these two motions together in the 17th century. He reasoned that the force of...
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Free-falling Bodies: Example01:05

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An object falling without any air resistance under the influence of gravitational force is said to be in free-fall. For free-falling bodies, the acceleration due to gravity is constant, irrespective of their mass. Free-fall is experienced not only by objects falling downward, but also by all objects whose motion is influenced by gravitational force alone. The dynamics of free-fall motion can be calculated using kinematic equations of motion, since free-fall acceleration is constant.
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Updated: Feb 17, 2026

Setting Limits on Supersymmetry Using Simplified Models
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Hořava Gravity is Asymptotically Free in 2+1 Dimensions.

Andrei O Barvinsky1,2, Diego Blas3, Mario Herrero-Valea4

  • 1Theory Department, Lebedev Physics Institute, Leninsky Prospect 53, Moscow 119991, Russia.

Physical Review Letters
|December 9, 2017
PubMed
Summary
This summary is machine-generated.

We found an asymptotically free fixed point in projectable Hořava gravity, making it a UV-complete quantum gravity model. This offers a simplified system for studying quantum gravity

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • String Theory

Background:

  • Hořava gravity is a quantum field theory of gravity.
  • Understanding the ultraviolet (UV) properties of quantum gravity is a major challenge.
  • Projectable Hořava gravity is a specific formulation of this theory.

Purpose of the Study:

  • To compute the beta functions of marginal couplings in 2+1 dimensional projectable Hořava gravity.
  • To determine the ultraviolet (UV) behavior of the theory.
  • To establish projectable Hořava gravity as a UV-complete model.

Main Methods:

  • Calculation of beta functions for marginal couplings.
  • Renormalization group flow analysis.
  • Investigating the ultraviolet fixed points of the theory.

Main Results:

  • The renormalization group flow exhibits an asymptotically free fixed point in the UV.
  • The theory is established as a UV-complete model.
  • The model possesses dynamical gravitational degrees of freedom.

Conclusions:

  • Projectable Hořava gravity in 2+1 dimensions is a UV-complete quantum gravity model.
  • This theory can serve as a valuable toy model for fundamental quantum gravity research.
  • The findings advance the understanding of UV properties in realistic Hořava gravity theories.