Coherence energy
The whole company is named for one number. It is not a metaphor: coherence energy is the thermodynamic cost of a system drifting away from its coherent reference, an information distance priced in energy. Here is the exact functional, computed live in your browser. Move the sliders and watch it change, then see a single definite decision land on the Landauer bound to the digit.
Ecoh = ∑i kBT · DKL( Bernoulli(τi) ‖ Bernoulli(dead) )
Each world i has a coherence τi between 0 and 1. The dead baseline is the reference the system decays toward. At the baseline, a world contributes nothing; the further it holds from death, the more coherence energy separates it. This is the real functional, not level-blind.
Coherence energy is grounded, not asserted: making one definite choice out of N equally likely options is a distinguishable state change, and it costs exactly kBT · ln N, the Landauer erasure bound. Your browser computes the coherence energy of that decision and checks it against ln N. They match to the last digit the float can hold.
What this proves: the real coherence-energy functional (per-world binary KL from a dead
baseline) computed live, and its exact reduction to the Landauer bound for a definite decision. What it does
not prove: this is a demonstration of the measure, not of any particular system's coherence. It is a float
port of the reference implementation in ace/stdlib/coherence_energy.cl, which computes the same
values in fixed point and is validated to about 5e-6.
Everything runs locally: no server, no external script. The math is the same code you can read in this page's source. More on coherence energy · Back to demos