dorsal/arxiv
View SchemaMach's Principle II
| Authors | James G. Gilson |
|---|---|
| Categories | |
| ArXiv ID | physics/0409010 |
| URL | https://arxiv.org/abs/physics/0409010 |
Abstract
The meaning and significance of Mach's Principle and its dependence on ideas about relativistic rotating frame theory and the celestial sphere is explained and discussed. Two new relativistic rotation transformations are introduced by using a linear simulation for the rotating disc situation. The accepted formula for centrifugal acceleration in general relativity is then analysed with the use of one of these transformations. It is shown that for this general relativity formula to be valid throughout all space-time there has to be everywhere a local standard of absolutely zero rotation. It is then concluded that the field off all possible space-time null geodesics or photon paths unify the absolute local non-rotation standard throughout space-time. Thus it is suggested that Mach's principle holds in the restricted sense that there is a universal standard of absolute local rotation rate related to the apparent rotation of the celestial sphere. However this apparent rotation is actually the earth's rotation relative to a local mapping of null geodesic endpoints from that time and space distant sphere to the local time in the local zero-rotation environment. A connection of local inertia with the celestial sphere is not found.
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"abstract": "The meaning and significance of Mach\u0027s Principle and its dependence on ideas\nabout relativistic rotating frame theory and the celestial sphere is explained\nand discussed. Two new relativistic rotation transformations are introduced by\nusing a linear simulation for the rotating disc situation. The accepted formula\nfor centrifugal acceleration in general relativity is then analysed with the\nuse of one of these transformations. It is shown that for this general\nrelativity formula to be valid throughout all space-time there has to be\neverywhere a local standard of absolutely zero rotation. It is then concluded\nthat the field off all possible space-time null geodesics or photon paths unify\nthe absolute local non-rotation standard throughout space-time. Thus it is\nsuggested that Mach\u0027s principle holds in the restricted sense that there is a\nuniversal standard of absolute local rotation rate related to the apparent\nrotation of the celestial sphere. However this apparent rotation is actually\nthe earth\u0027s rotation relative to a local mapping of null geodesic endpoints\nfrom that time and space distant sphere to the local time in the local\nzero-rotation environment. A connection of local inertia with the celestial\nsphere is not found.",
"arxiv_id": "physics/0409010",
"authors": [
"James G. Gilson"
],
"categories": [
"physics.gen-ph"
],
"title": "Mach\u0027s Principle II",
"url": "https://arxiv.org/abs/physics/0409010"
},
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