Tangran, Inertial Mass and Gravitational Mass

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Discussion Overview

The discussion revolves around the relationship between inertial mass and gravitational mass, using a tangram puzzle as an analogy. Participants explore whether one of the masses is unnecessary if they are identical, and how this relates to concepts in general relativity and special relativity.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant suggests that if gravitational mass and inertial mass are identical, one might be unnecessary, questioning the need for both in the context of the analogy.
  • Another participant argues that the issue is resolved by general relativity, stating that both types of mass are contributions to energy and momentum, rather than separate entities.
  • A different viewpoint claims that gravitational mass is merely an approximation and that only inertial mass is relevant, indicating a belief that the analogy used is flawed.
  • Some participants introduce the concept of local hidden variables and philosophical musings about existence and conservation of energy, suggesting a broader discussion beyond the initial analogy.
  • One participant asserts that mass in relativity is equivalent to rest energy, linking this to inertial mass and gravitational mass in the context of special and general relativity.
  • Another participant emphasizes that mass in relativity is invariant mass, connecting it to energy and the energy-momentum-stress tensor in general relativity.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and identity of inertial and gravitational mass, with no consensus reached on the validity of the analogy or the implications of their relationship.

Contextual Notes

Some discussions involve assumptions about the definitions of mass and energy, as well as unresolved philosophical implications regarding conservation laws and existence.

dom_quixote
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Imagine a tangran puzzle, in which an extra piece "y", identical to piece 'x', is maliciously added.

tangran.JPG

No matter how hard the player tries, he will never be able to restore the game's original form, that is: a perfect square.

This illustration has a clear purpose:

If gravitational mass and inertial mass are in fact identical, isn't one of them unnecessary?
Will the mass puzzle be finally solved by discarding one of the masses?
 
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But it's solved with general relativity. Both inertia's and gravity's sources are all kinds of energy, momentum, and stress of matter and radiation. Mass is only one contribution to energy and momentum.
 
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Your puzzle has two pairs of identical triangles, if we maliciously removed one then it couldn’t be solved.

Is mass a triangle or a square?

Of course, @vanhees71 is correct that this has already been solved. Mass is only inertial mass. Gravitational mass is no longer anything other than an approximation and hasn’t been for more than a century now. I just wanted to point out that the analogy is not very good.
 
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Dale said:
I just wanted to point out that the analogy is not very good.

Local Hidden Quantic Variables also not?

You can prove that men and wolves exist. But you can't prove werewolves don't exist :smile: !
 
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dom_quixote said:
Local Hidden Quantic Variables also not?

You can prove that men and wolves exist. But you can't prove werewolves don't exist :smile: !
All the werewolves in the movies I've seen (I've never seen one in real life) are significantly larger than in their wolf form than their human form. Therefore they violate conservation of energy and can't exist.

-Dan
 
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Dale said:
Mass is only inertial mass.
I’d say mass in relativity is only rest energy. The fact that this happens to equal the inertia in an object’s rest frame is a fundamental insight of SR and the conclusion regarding how this translates to gravitational mass in the Newtonian limit a fundamental insight of GR.
 
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Mass in relativity is only invariant mass. Both the measure of inertia and gravitational interaction strength is energy (or the local version of it, i.e., the energy-momentum-stress tensor of matter and radiation in GR).
 
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topsquark said:
All the werewolves in the movies I've seen (I've never seen one in real life) are significantly larger than in their wolf form than their human form. Therefore they violate conservation of energy and can't exist.

-Dan
If philosophizing is allowed on this forum, I must say this is the breaking point between creationism and conservationism.
 
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Thread closed temporarily for Moderation...
 
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