So the light bulb would re-power the solar panel. Well infinite until the light bulb runs out…
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Even if ALL the light were directed at the solar panel (which is in theory possible using an ideal focusing mirror for example), and if the process were 100% efficient (no energy lost to heat etc), the conservation of energy prohibits such “perpetual-motion machines”.
Sorry.
No. Not even if the panel were 100% efficient.
The light bulb radiates energy in all directions.
The area of the panel only covers a fraction of a spherical shell around the bulb.
So even if the panel converted 100% of the incident energy to power the light bulb, the radiation through the part of the spherical shell not covered by the area of the panel represents energy lost to the environment.
So like an excise tax, the principal will be diminished in part, ad infinitum, until nothing remains.