  Uncertainty principle is one of the central concepts in quantum theory.
Different forms of this particular principle have been discoursed in various
foundational and information theoretic topics. In the discrete input-output
scenario the limited nonlocal behavior of quantum theory has been explained by
fine-grained uncertainty relation. On the other hand, in continuous variable
paradigm Robertson-Schrodinger (RS) uncertainty relation has been used to
detect multi-mode entanglement. Here we show that RS uncertainty relation plays
an important role to discriminate between quantum and post-quantum nonlocal
correlations in multi-mode continuous outcome scenario. We provide a class of
m-mode post-quantum nonlocal correlations with continuous outcome spectrum.
While nonlocality of the introduced class of correlations is established
through Calvalcanti-Foster-Reid-Drummond (CFRD) class of Bell inequalities, RS
uncertainty relation detects their post-quantum nature. Our result is a hint
towards a wider role of uncertainty principle in the study of nonlocality in
continuous variable multi-mode systems.
