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Can Gravity Exist Without Matter – Proof?

February 19, 2013

This is a follow up to “Can Gravity Exist Without Matter?” To read the first installment go to:

According to Newtonian and Galilean Gravity:

→     →
F = ma
(force for this discussion is a three vector equation, where space is space and time is time and not united in space-time; the force on an object whatever it is, component by component, is equal to the mass times acceleration)


a particle has a position, a collection of three coordinates, (x1, y1, z1), which are the components of the position vector of a particle

R = (x1, y1, z1)
(radial vector)

a = (d2x/dt2)
[acceleration = vector made up of the time derivative of the components of the position vector of x1, y1, z1 (2nd derivative of the components of position with respect to time); first derivative of position is velocity = (dx/dt)]

then: F = m(d2x/dt2)

F2= – mg
(force on an object in a flat space approximation has only one component pointing downward, so component of a force in the x2 downward direction is proportional to mass of an object times a constant (g) or gravitational acceleration);

therefore: m(d2x/dt2) = -mg

(d2x/dt2) = -g
(mass cancels out)

Therefore: gravity is dependent on the 2nd derivative of the components of position with respect to time and not on mass?

3 Comments leave one →
  1. March 7, 2013 4:22 PM

    Definitely believe that which you stated. Your favorite justification seemed to be on the internet the simplest thing to be aware of.
    I say to you, I definitely get annoyed while people think about worries that they just do not know about.
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  2. Polo permalink
    March 14, 2015 1:01 AM

    Your conclusion is wrong since a = g= (G.M)/R^2; thus, (d2x/dt2)= G.M/R^2, hence, there is still a term including mass (M).

  3. Big BoB permalink
    May 14, 2017 9:59 PM

    And in consultation, mass without gravity does not exist. And gravity without mass does not exist. Nothing would exist without gravity. So what is gravity? Gravity is everything, the beginning and end.

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