Negation of the separatedness-based framework as a methodological principle

It is shown how a negation of the assumption that the physical phenomena are representable accurately by separate mathematical points offers a reliable method, which allows to: predict correctly certain empirical findings, anticipate and indicate a source of specific shortcomings or difficulties faced by different models and theories, give an alternative interpretation and possibly an independent justification to various concepts considered currently in the literature in relation to actual observations or thought experiments.