Is there a quantification of gravitational attraction at the atomic level?

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Discussion Overview

The discussion revolves around the quantification of gravitational attraction at the atomic level, specifically regarding how gravitational forces are measured and understood in relation to atomic particles like protons and hydrogen atoms. It also touches on the relationship between mass, the Higgs boson, and gravitational force.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about a system of units for quantifying gravitational attraction at the atomic level, specifically for a hydrogen atom or proton, and seeks clarification on the distinction between gravitational attraction and weight.
  • Another participant suggests that the inquiry may be addressed by Newton's law of gravitation, prompting a question about familiarity with this equation.
  • A different participant reiterates Newton's law of gravitation, providing the formula and defining the variables involved.
  • One participant explains that the Higgs field contributes to the understanding of mass, noting that most nucleon mass arises from internal energy, while gravity is described by Newton's law and general relativity, with no direct connection to the Higgs field established in current theory.
  • A later reply references a calculation by A. J. Mallmann that illustrates the weakness of gravitational attraction between atoms, specifically noting the time it would take for two hydrogen atoms to move closer due to gravitational attraction.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between mass, gravity, and the Higgs boson, with no consensus reached on how these concepts interrelate. The discussion remains unresolved regarding the specifics of gravitational quantification at the atomic level.

Contextual Notes

Limitations include the lack of clarity on how gravitational attraction is quantified at atomic scales and the dependence on definitions of mass and gravity. The relationship between the Higgs field and gravitational force remains ambiguous and is not fully explored.

CRGordon
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What I'd like to know is has anyone figured out a system of units for gravitational attraction? I can't find anything on google. For instance, given a hydrogen atom or even just a proton, is there a quantification of how much gravitational attraction it exerts on everything else around it (I suppose at a given distance)

I'm not talking about weight here, since that changes based on the setting of the mass in question


Second questions, is there a layman's explanation of the relationship between mass (which I understand is thought to be created by higgs bosons) and the actual gravitational force being provided by mass? Does one (the higgs) cause gravity, or are both mass and gravity produced by something else and are simply correlated?

Thanx!
 
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Sounds to me like you are just looking for Newton's equation for gravitational force. Are you familiar with it?
 
I can't answer your second question but your first one is, just as Russ pointed out, Newton's law of gravitation.

GM1M2 / d^2

G= Gravitational constant
M1= Mass one
M2= Mass two

divided by their distance squared.
 
The Higgs field is part of the explanation for mass. Most of the mass of nucleons comes from internal energy.

Gravity is a force (proportional to mass) described by Newton's law and more precisely by general rerlativity. Current theory has no direct connection with Higgs field.
 
Just to show how weak the force of gravity is between atoms, A. J. Mallmann in an article in The Physics Teacher v 32 1994 calculated that two hydrogen atoms initially at rest and 1.0 mm apart attracted only by gravity would take 2 million years for them to "fall" to a separation of 0.5mm. Very interesting.
 

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