In the earlier work , we introduced deviation to the flat Minkowski metric due to the gravitational field in the form,
n = 1 corresponds to the flat Minkowski metric therefore both the bending of light and the gravitational frequency shift can be explained corresponding to n = 1.
where p is the Minkowski metric
order, and it can take values from 0 to infinity (and can even be a real value between 0 and 1).
For higher dimensional data, a popular measure is the Minkowski metric
, where is the dimensionality of the data, and are two comparable parameters, and are -values of these parameters.
Jet Finslerian geometry of the conformal Minkowski metric
The Minkowski metric can be rewritten as a summation of velocities and as an apportionment of energy equivalence.
The paper then shows the Schwarzschild metric, which adds a spherical non-rotating mass to the spacetime defined by the Minkowski metric, can also be rewritten as a summation of velocities and as an apportionment of energy equivalence.
Let us consider the pseudo-Riemannian space with the signature (+ - --) and select the Minkowski metric
Further extension is obviously possible, where equation (13) can be generalized to include the (icdt) component in the conventional Minkowski metric
, to become (Kaluza-Klein)-Carmeli 5D metric [5, p.
generalizing Minkowski metric to become 8-dimensional metric which can be represented as:
Table 1: Going beyond classical logic view of QM Special Alternative Bell's theorem Implications relativity QM is Invalid Causality breaks Is not always nonlocal down; Observer applicable determines the outcome QM is local Valid Causality No interaction with hidden preserved; The can exceed the variable moon is there speed of light even without observer Both can Valid, but there QM, special Can be expanded be right is a way to relativity and using explain QM Maxwell 8-dimensional without violating electromagnetic Minkowski metric Special theory can be with imaginary Relativity unified.
However, this standard range on r is due entirely to assumption, based upon the misconception that because 0 [less than or equal to] r < [infinity] is defined on the usual Minkowski metric
, this must also hold for (1a) and (1b).