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The Planck Length Scale and Einstein Mass-Energy Obtained from the Sciama-Mach Large Number Relationship

Scott Funkhouser
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Abstract

If a physical significance should be attributed to the cosmological large number relationship obtained from Sciama's formulation of Mach's Principle, then a number of interesting physical conclusions may be drawn. The Planck length is naturally obtained as the amplitude of waves in a medium whose properties are implied by the relationship. The relativistic internal energy associated with a rest mass is explicitly related to the gravitational potential energy of the Universe, and consistency with the Einstein photon energy is demonstrated. Broader cosmological consequences of this formulation are addressed.

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Scott Funkhouser. 2003-09-25. The Planck Length Scale and Einstein Mass-Energy Obtained from the Sciama-Mach Large Number Relationship. https://arxiv.org/abs/gr-qc/0309106

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