Electricity will only flow when a voltage difference exists. In a single-phase circuit, the neutral is the electrical path to that voltage difference. In a 3-phase circuit, a voltage difference always exists between each phase, so no separate path is required.
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Not quite. Consider a step down transformer bank made of three single phase transformers. If the bank is connected delta on the secondary, meant to supply only phase to phase loads, no neutral will be present.
As to grounding... such a bank maybe corner grounded or not grounded at all, in which case, ground fault indication is required by code in many jurisdictions.
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Joe Contractor to Electrical Inspector, "What do you mean you are going to make me follow the code?".
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