LIVE │ T+ 00:00:00 │ G 6.674×10⁻¹¹ c 2.998×10⁸ k_B 1.381×10⁻²³ ℓ_P 1.616×10⁻³⁵ │ 2G/c⁴ = 1.652×10⁻⁴⁴ m/J │ ◇ 9 EXACT RESULTS
Information geometry · Bharat Sharma 2026

The information geometry of black holes and computation.

A precision instrument for the D3 framework — nine exact results connecting Landauer information erasure to black-hole geometry, with live interactive graphs you can probe for hours.

D3(T) = 2G·kB·T·ln2 / c⁴  [m per bit]
R_total = ∫ D3(M)·dN(M) = rs(M₀)  [exact — all constants cancel]
h(χ,q) = 4σ / (2(1+σ)−q²)  [Kerr-Newman master]
Open the console → Documentation
Interactive instrument

Compute D3 for any system or black hole

Drag any control — every readout and graph updates in real time. Free to use, no account required.

FIG.01 — LIVE
COMP · NOMINAL
Presets
Parameters
Temperature300 K
Bits erased / sec1.0 G/s
Run time1.0 s
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Readout
Instrumentation
D3 displacement vs physical length scaleslog₁₀ metres
D3 cost per bit vs temperatureD3(T) = 2G·k_B·T·ln2 / c⁴
Known black holes
Parameters
Readout
Instrumentation
Evaporation displacement → R_total∫ D3·dN
Hawking temperature vs masslog–log
Parameters
Spin χ0.500
Charge q0.000
Tip — drag directly on the heatmap to set χ and q. The amber arc is the extremal boundary χ²+q²=1.
Readout
Parameter space
h(χ,q) field — drag to setPaper 7
h vs χ at current chargeslice
Parameters
r_s / L1.00
Hawking–Page — at r_s = L the correction φ = 2 exactly, so R_total = 2·r_s.
Readout
Instrumentation
AdS correction φ(x) = 1 + x²x = r_s / L · Paper 9