Gravity_Force_Gradient.html
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  • Last Update: 1:00 AM 20-Jan-2011

    Experiment #1 Pictorial Shown BELOW: 10-Solar Mass Binary BH With 30 Miles Between M0 And M1

    Cartoon Of BH Gradient Experiment

    A spread sheet was configured to track the differential force between two 1/2 inch cubes of steel. The purpose of this experiment is to determine whether ordinary [strong] matter can survive the intense gradient while passing through the CG of a small binary BH. Or would the gradient stress be high enough to 'spaghettify' or even ionize interloping matter? This Example employs a 2-cube delta space of 1/2" (1" Cg to Cg) maintained by a strong massless standoff that behaves, one can imagine, like a load cell.

    This test body is then dropped through the binary BH gradient along the Z-axis from 200,000 miles. During ingress from +Z with motion in the -Z direction, the CG of the lead cube is always 1 inch closer to the binary CG and, as such, has a higher acceleration force than the trailing cube. This causes the lead cube to 'pull' on the trailing cube an amount equal to the differential gravity forces on the cubes. As the cubes approach the vicinity of the event horizon (~20 mi from CG), greater and greater tension (+) load develops between the cubes as the binary tugs harder on the closer cube. As the cubes approach closer yet to the BH-CG, the acceleration force on the lead cube drops off faster than that on the trailing cube so the trailing cube begins pushing the lead cube creating compression between cubes. The chart below depicts the force developed in the massless 'spacer' structure as a result of the gradient owing to the slight differential [fixed] Z-separation of the two cubes.

    Gradient Chart: Stress On Test Body Picture

    When the CG of the 2-cube structure arrives at the binary BH-CG (lead cube in -Z and trail cube in +Z), each cube is attracted oppositely toward the BH-CG maximizing the compression load between them. Upon egress [exit] of BH-CG, the differential force scenario of ingress is symmetrically replicated. The chart shows that a peak compressive force of 16,500 lbs develops thus creating a peak compressive stress of -69,200 psi on the 1/4 sq-in area of the cube faces.

    This example proves that ordinary strong matter (steel) can survive the extreme the gradient force that exists along and at the CG between binary black holes this small; 10 Sm each at 30 miles separation. A human body, being much larger than 1/2 inch and much weaker than steel would be 'spaghettified' and vaporized. Definitely a tough neighborhood. Be aware the gradient increases as one moves away from Z-axis in the X-Y plane toward either singularity. Also remember the singularities here are spinning in the X-Y plane at ~773 RPS (Hz), so any X or Y excursion away from the Z-axis quickly exacerbates matters. Tongue in cheek, don't jump into 750 kHz or greater spin rate black hole binary of less mass than 100,000 suns, and be sure to jump in along the Z-axis.