Economics Dictionary of ArgumentsHome
| |||
|
| |||
| Gravitation: Gravitation is a fundamental force of nature that attracts any two objects with mass. It is the weakest of the four fundamental forces, but it is also the most pervasive, acting on all objects in the universe. See also Force._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
| Author | Concept | Summary/Quotes | Sources |
|---|---|---|---|
|
Albert Einstein on Gravitation - Dictionary of Arguments
Kanitscheider I 164 Gravity/Einstein: new: relationships between matter and the geometry of space. In the General Theory of Relativity (GR), the concept of space-time, which represents the totality of all possible events, is described by a four-dimensional manifold M on which a metric g is given. (M,g). (M: connected Hausdorff manifold, g Lorentz metric. M paracompact, but these are contingent assumptions that could be empirically refuted.) Event/GR/Kanitscheider: every event is a point in four-dimensional space-time that can be described independently of all conceptual constructions such as vector bases and coordinate systems. Space-time/Einstein: somewhere between 10-15 and 10-33 cm the smooth manifold image of space-time breaks down. I 165/166 Metric/gravitational theory/Einstein/Kanitscheider: the metric g, in component form gμνρ, can generally be quite diverse, but locally it has a special structure. In the vicinity of each point, the geometry has the simple Minkowski form SR, (in each point one can introduce a local coordinate system such that in p gμν = diag (1,1,1,-1) and gμνρ = 0). This means that all relativistic effects (time dilation, length contraction) must be realized. In particular, the rate of the clocks depends on the type of world line that the clock follows and that the light runs on zero geodesics ds = 0. However, all this only applies to the small local area! If you leave this, there is a deviation from the Minkowski structure! This is interpreted as the effects of matter energy. This is the reason why Einstein's theory can be called a metric theory of gravity. Space-time/Kanitscheider: A space-time also has more general qualities than the metric, namely affine, projective, topological. I 169 Gravity/gravitation theory/Einstein: second important principle: principle of covariance. >Covariance/Einstein. Kanitscheider I 172 Gravity/Einstein/Kanitscheider : 1916: Einstein's formulation supports ontological autonomy. namely the propagation of this "force" in waveform. This is semantically significant: Nothing has confirmed the autonomy of the electromagnetic field as strongly as the fact that it can propagate through space far from sources without a carrier substance. It is an agent that conveys visible effects as a carrier of energy and impulse. A wave can cause a test charge to circulate. Moving charges can produce electromagnetic radiation which, once created, proves its independence in the causal network of things. Gravitation/Kanitscheider: crucial: the difference between direct gravitational force and tidal force. In free fall, gravity is no longer discernible. >Relativity Theory._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Einstein, A. Kanitsch I B. Kanitscheider Kosmologie Stuttgart 1991 Kanitsch II B. Kanitscheider Im Innern der Natur Darmstadt 1996 |
||
> Counter arguments against Einstein
> Counter arguments in relation to Gravitation
