Weight difference between an empty and a full memory stick

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The discussion centers on the weight difference between an empty memory stick and one filled with data, exploring whether the stored information affects mass. It is suggested that if energy is required to encode bits (1s and 0s), then according to E=mc², there could be a measurable mass difference. However, the consensus indicates that information itself does not possess weight, and any mass change would depend on the energy associated with the bits stored. The conversation also touches on entropy and how it relates to information, emphasizing that the mass difference, if any, would be negligible. Ultimately, the key question remains whether the physical state of the memory (1s vs. 0s) results in a measurable change in mass.
  • #121
uart said:
Initially I made a guestimate based on typical structure of modern flash memory of about 10^3 electrons per floating gate (that is, per bit). Stupidly I took the mass increase to be the mass of these electrons (approx 10^(-27) kg per bit). That's nonsense of course, as each cell remains overall charge neutral and the electrons are just redistributed from one plate of the capacitor to the other.

Looking at it again I'll say approx n\, q_e\, V\, /\,(4\,c^2) kg per bit. So based on n approx 10^3 electrons per bit and assuming V is a few volts, I get about 10^(-33) kg per bit as a serious guestimate for modern flash memory.
I speculate you were more on the right tract in the first paragraph. When we say neutral, yes that means that at the macro scale of the memory stick the charge will be 'neutral', but not necessarily to every last −1.602×10−19 Coulomb (e), not over the many moles of electrons in question here. It could be that some state of the stick could well carry a net charge of a few e. Normally the mass of a few electrons would be insignificant, but compared to the minuscule E/c^2 mass grasped at in the second paragraph, the rest mass of even a few electrons is king.
 
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  • #122
Didn't have time to read all 8 pages, hope this isn't redundant. Usually the "1's" are stored as charged capacitors, whereas the "0's" are stored as uncharged capacitors. A charged capacitor is going to have energy = 1/2*C*V^2, therefore mass = E/c^2.
 

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