  The long-range supercritical changes of dielectric constant, resembling ones
observed in the isotropic phase of rod-like liquid crystalline compounds, are
evidenced on approaching liquid-solid discontinuous phase transition. The
'supercriticality' can be an additional factor for supporting the unique
pro-health properties of linseed oil. It can also be significant for numerous
technological applications. The report also reveals properties significant for
melting/freezing discontinuous phase transition cognitive puzzle. Broadband
dielectric spectroscopy studies revealed long-range premelting (heating from
the solid phase) and post-freezing (cooling from the liquid phase) effects with
critical-like parametrizations. They can be correlated with the 'grain model'
for premelting and its development by the Lipovsky model. The evidence for the
post-freezing effect, with the critical-like portrayal, may indicate a specific
granular solidification associated with pretransitional fluctuations. Numerous
hallmarks of liquid-liquid and solid-solid phase transitions have also been
found. Notably, the melting temperature surrounding is related to the minimum
and the freezing temperature to the maximum of dielectric loss factor
D=tan(delta). Regarding dynamics, three primary relaxation processes have been
found. Their changes in subsequent temperature intervals, related to the
apparent activation enthalpy, follow critical-like patterns with the same
singular temperature. For relaxation times evolution, it leads to optimal
parameterizations via the 'critical and activated' equation, recently proposed.
