Field Dependant Metric for Gravitational/EM Fields and a Non- Linear Transformation for Local to Proper Space-Time World
Author(s): Chandramohanan MR
Abstract
In this paper, the introduction of a metric for Gravitational Field is examined based on [4]; this can be extended to EM Fields also by change of the parameters involved (ϵ1 , μ1 ) to (ϵ2 , μ2 ) We know that E2 ‒ c2 B2 or E2 ‒B2 with is an invariant quantity for the EM Fields which can be extended to gravitational fields, as done in [1]. We discuss the metric for the gravitational case and extended to the EM fields as well. The discussion of anomalous characteristic of Lorentz Transformation (LT) and the introduction of a non-linear transformation connecting Local Space-time coordinates (ct,x) with proper system (cτ, xτ ) is continued.
Field Dependent Metric for Gravitational Field
Conclusion
It is possible to introduce field dependent contracted tensors from
€ ij , μij to define filed vectors E|D, B|H and the metric dE 2
-dH2
for Gravitational/EM fields. The linear LT can be considered as
a relationship between two local frames of references, whereas
equations (2.8) to (2.11) give the relationship among true/proper
values and their observed values in the local frames. These
equations justify a general principle of fuzziness of measurements
as well as the existence of a unique preferred frame viz, the proper
frame of reference as suggested by H.A. Lorentz.
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