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On Gravity and Photons

Let us begin by supposing that we have a positive, non-relativistic point charge, q, momentarily at the Origin but moving along the positive x-axis at constant speed v<<c. At point (0, y>0, 0) the electric field points away from q and has the value

Ey = q/4pe0y2.                 (1)

If we replace q with a row of n point charges, all moving at constant speed v<<c along the x-axis, then Ey will be greater than the value in Eq. (1) by a some factor f(n,Dx) that depends upon n and the spacing between the charges:

Ey = f(n,Dx)q/4pe0y2.                  (2)

Let us now replace the charges in Eq. (2) with photons of wavelength l. According to gravitomagnetic theory a photon of wavelength l has the real inertial mass

m = h/lc.          (3)

And according to the theory any particle with inertial mass m has an equal magnitude imaginary gravitational mass, im. Thus the gravitational field of a row of photons should be

gy = f(n,Dx)Gih/lcy2.                  (4)

If we place a resting material particle with inertial mass minertial at y>0, then since this particle has a gravitational mass of mgrav=iminertial, the test particle should experience a gravitational force, Fgrav toward the line of photons, quite as Cavendish demonstrated with two material “particles”:

Fgrav = mgravgy.               (5)

In brief, the line of photons should gravitationally attract the test particle (and the test particle should attract the photons).

Experimentally the row of photons can be provided by a laser beam, consisting of an enormous number of photons with miniscule spacing. And the test “particle” can be a material of a convenient shape. It is the prediction of gravitomagnetic theory that the modified Cavendish balance will indicate the theorized gravitational attraction between photons and matter.