16 February 2017 Laws of nature for forces: the discovery of Cubal laws and constant
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Abstract
Calculating the net optical force on particles that are enclosed by a sphere, requires rigorous mathematical steps and consumes more time. Also it is complex to compute the total force on particles that are on a sphere. As a result, the easy approximate way of calculating the net force is by assuming the sphere as a cube, which reduces the complexity. One disadvantage with this method is that the net force is not the actual force, but the approximated force. Interestingly, this research has discovered a universal constant that relates the sphere and cube called "Cubal Constant." Based on this constant, two laws have been discovered: Cubal Volume Law and Cubal Surface Law. Cubal Volume Law can be used for determining the net force on particles in the sphere, whereas Cubal Surface Law is used to compute the force on particles which are on the sphere. Using these two laws, the exact net force on particles which are in/on the sphere can be calculated by just calculating the force on particles which are in/on the cube. These two laws are force laws, so this can be extended to many other applications that involve forces. The constant and laws are theoretically and experimentally verified.
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Arjun Krishnappa, Ujitha Abeywickrema, Partha Banerjee, "Laws of nature for forces: the discovery of Cubal laws and constant", Proc. SPIE 10106, Integrated Optics: Devices, Materials, and Technologies XXI, 101061W (16 February 2017); doi: 10.1117/12.2255067; https://doi.org/10.1117/12.2255067
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