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How does sideband physically generate in Amplitude Modulation of a Carrier wave?

i dont want the mathematical way of how sidebands(upper and lower) are generated.

please explain why does this sideband generate even though we just modulate the amplitude of the carrier.

and again why does the carrier does not contain any information and the sidebands do?

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Sidebands are generated using a balanced modulator which is designed to eliminate the carrier frequency. However, the sum and difference frequencies are generated as sidebands. (Carrier Freq plus and minus the Amplitude Modulation Frequencies.) In order to recover the Modulation Frequencies, the carrier must be re-inserted by the receiver using a bfo or ssb mode. Receiving using AM mode will not sound right because the carrier is suppressed before being transmitted.