LORENTZ TRANSFORMATION FROM INFORMATION Derivation of Lorentz transformation from principles of statistical information theory

The Lorentz transformation is derived from invariance of an information quantity related to statistical hypothesis testing on single particle system identification parameters. Invariance results from recognition of an equivalent observer as one who reaches the same conclusions as another when the same statistical methods are used. System identity is maintained by parameter values which minimize discrimination information, given by a Kullback-Liebler divergence, under a constraint of known shift in observation time. Deviation of discrimination information from the minimum value gives the difference in information between an observed system under a constraint shift and the expected system that maintains identity under the same constraint. System observation states are represented by parametric probability distributions of particle system measurement values.