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Inertial Frames of Reference01:03

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Newton’s first law is usually considered to be a statement about reference frames. It provides a method for identifying a special type of reference frame: the inertial reference frame. In principle, we can make the net force on a body zero. If its velocity relative to a given frame is constant, then that frame is said to be inertial. So, by definition, an inertial reference frame is a reference frame where Newton's first law holds valid. Newton's first law applies to objects with...
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A reference frame accelerating or decelerating relative to an inertial frame is a non-inertial frame. To help understand this, consider what taking off in an airplane, turning a corner in a car, riding a merry-go-round, and the circular motion of a tropical cyclone all have in common. All these systems are accelerating, decelerating, or rotating relative to the Earth; hence, they all are non-inertial frames. All these systems exhibit inertial forces, which merely seem to arise from motion,...
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The understanding of the concept of reference frames is essential to discuss relative motion in one or more dimensions. When we say that an object has a certain velocity, we must state the velocity with respect to a given reference frame. In most examples, this reference frame has been Earth. For instance, if a statement reads that a person is sitting in a train moving at 10 m/s east, then it implies that the person on the train is moving relative to the surface of Earth at this velocity,...
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The position of an object defines its location relative to a convenient frame of reference at any particular time. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole. On the other...
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Relative velocity is the velocity of an object as observed from a particular reference frame, or the velocity of one reference frame with respect to another reference frame. The concept of relative velocity can be used to describe motion in two dimensions. Consider a particle P and two reference frames S and S′. The position of the origin of S′ as measured in S is , the position of P as measured in S′ is , and the position of P as measured in S is , which can be evaluated by...
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Quantum reference frames for an indefinite metric.

Anne-Catherine de la Hamette1,2, Viktoria Kabel1,2, Esteban Castro-Ruiz3,4

  • 1Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria.

Communications Physics
|April 26, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces quantum reference frame transformations to explore quantum gravity, enabling the analysis of objects near superposed masses. This method determines dynamics and time dilation, offering a new perspective beyond semi-classical models.

Keywords:
General relativity and gravityQuantum informationQuantum mechanicsTheoretical physics

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Area of Science:

  • Quantum physics
  • General relativity
  • Quantum gravity

Background:

  • Current theories fail to describe quantum gravitational sources.
  • Studying quantum mass configurations requires new theoretical frameworks.

Purpose of the Study:

  • To propose a strategy for determining object dynamics under quantum mass configurations.
  • To investigate spacetime metrics with indefinite gravitational sources.
  • To apply quantum reference frame transformations to quantum gravity problems.

Main Methods:

  • Utilizing quantum reference frame (QRF) transformations.
  • Extending the QRF framework for definite mass configurations.
  • Assuming covariance of dynamical laws under quantum coordinate transformations.

Main Results:

  • A method to determine dynamics in the presence of mass superpositions was developed.
  • Time dilation caused by a gravitating object in superposition was calculated.
  • Semi-classical and gravitational collapse models were shown to violate covariance.

Conclusions:

  • The proposed QRF-based strategy provides a viable approach to quantum gravity.
  • This framework allows for the study of quantum effects on spacetime and dynamics.
  • The findings highlight limitations of existing semi-classical gravity models.