The video is not faked by special effects. The trick is that inside the connector for the 9V battery, there is a small oscillator, and inside the LEDs and switches there are tiny tuned circuits not visible. The battery connector, the LEDs and/or the switches were modified in advance. Sometimes a simple diode instead of a tuned LC is enough.
There are a few other videos titled "Sollution" on his YouTube channel, where the entire schematic is shown, including the tiny SMD parts hidden inside batt connector and inside LEDs/switches.