Weight difference between an empty and a full memory stick

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SUMMARY

The weight difference between an empty memory stick and a full one is negligible, as the information stored does not significantly alter the mass. While energy changes associated with storing data could theoretically affect mass according to E=mc², the actual difference is minuscule, estimated at around 10^-17 kg for an 8 GB memory stick. The discussion emphasizes that information itself does not possess weight, and any mass change would stem from energy variations rather than the data content. The complexity of defining "information" and its relationship with entropy further complicates the inquiry.

PREREQUISITES
  • Understanding of E=mc² and its implications in physics
  • Basic knowledge of flash memory technology and data storage
  • Familiarity with concepts of entropy and information theory
  • Awareness of the principles of energy storage in electronic devices
NEXT STEPS
  • Research the relationship between energy and mass in the context of information storage
  • Explore the principles of entropy in information theory
  • Investigate the physical properties of flash memory and how data is encoded
  • Examine the implications of data density on energy consumption and mass
USEFUL FOR

Physicists, computer scientists, electrical engineers, and anyone interested in the intersection of information theory and physical science.

  • #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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