Field Infinites when distance is zero

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Discussion Overview

The discussion revolves around the behavior of forces from electric fields and gravity as distance approaches zero. Participants explore the implications of point masses and charges, questioning the traditional inverse square law and proposing alternative models for force behavior at very small distances.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that traditional equations imply forces can become infinitely large as distance approaches zero, but questions the validity of this assumption.
  • Another participant proposes an alternative model for force behavior, suggesting a function closer to 1/(arctan(constant/distance))^2 instead of the conventional 1/x^2, based on the idea of gravitons being emitted from point masses.
  • A participant provides a link to a Wikipedia page on renormalization, possibly indicating a connection to the discussion of forces at small scales.
  • Another participant asks for clarification on why forces would become arbitrarily high and requests the specific equations and distance scales being referenced.

Areas of Agreement / Disagreement

There is no consensus on the behavior of forces as distance approaches zero; multiple competing views and models are presented, and the discussion remains unresolved.

Contextual Notes

Participants express uncertainty regarding the assumptions underlying traditional force equations and the implications of point masses and charges. The discussion includes unresolved mathematical considerations and varying interpretations of force behavior at small distances.

Who May Find This Useful

Individuals interested in theoretical physics, particularly those exploring the foundations of gravitational and electric forces, may find this discussion relevant.

meadbert
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So in high school we are taught the equation for force from electric fields or gravity is proportional to the distance squared. This implies that this force can become arbitrarily high as you approach closer to the point mass/charge.

In practice I realize that the point mass/charge does not exist, the electric force breaks down to the weak force and gravity may not be a force at all.

I always assumed that the real function is closer to a 1/(arctan(constant/distance)^2, just because that made more sense in my head. Basically if "gravitons" spontaneously come into existence at the point mass heading in a random direction at the speed of light from time to time then one would expect that as you get closer you cannot be hit by more than all of the gravitons and only a finite amount are sent out in a finite amount of time thus there are no infinites.

I have never read anywhere about whether this is true or not. Do we believe that the electric/gravitational force should behave more like 1/arctan^2 or more like 1/x^2.
 
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Why would the force become arbitrarily high? Whats the equation for it and what scale for distance would you use?
 

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