Visualization Mode
?
Before (unknown)
→
🔥
+2.87 × 10⁻²¹ J
0
After (erased to 0)
Emin = kT ln(2)
= 2.87 × 10⁻²¹ J at 300K
Minimum energy to erase ONE bit of information
The Bridge Between Worlds
S = kB ln(W) = -kB Σ pi ln(pi)
Boltzmann's entropy formula ↔ Shannon's information entropy
🌡️ Physical Entropy
S = disorder of particles
💾 Information Entropy
H = uncertainty in bits
Landauer Limit (Theoretical)
2.87 × 10⁻²¹ J
per bit erased
Modern CPU (Actual)
~10⁻¹⁵ J
per bit operation
Current Efficiency
0.0001%
Room for ~1,000,000x improvement before hitting physics limit!
10²¹
Bit ops/sec in data centers
~1%
Global electricity → computing
2x / 2yrs
Energy efficiency doubling
~2050
Est. Landauer limit @ current trend
Temperature
300 K
27°C / 80°F (Room Temperature)
Lower temperature = less heat per erasure. Quantum computers operate at ~0.015K (colder than space!) to minimize thermal noise.
Erasure Simulation
0
× 10⁻²¹ J
Total heat released
The Profound Insight
Information is physical.
Erasing information isn't just a logical operation—it's a thermodynamic one. The "lost" information doesn't disappear; it becomes heat, increasing the entropy of the universe.
Computation has a minimum energy cost written into the laws of physics.
Erasing information isn't just a logical operation—it's a thermodynamic one. The "lost" information doesn't disappear; it becomes heat, increasing the entropy of the universe.
Computation has a minimum energy cost written into the laws of physics.
Historical Timeline
1867
Maxwell proposes his demon thought experiment
1929
Szilard connects information to entropy
1961
Landauer proves erasure costs energy
2012
Experimentally verified at ENS de Lyon, France (Bérut et al., Nature)
💥 HOLY SHIT MOMENT
"Erasing a bit isn't free—it costs kT ln(2) joules, minimum. Information and physics are the same thing."