Partly it's chemistry and battery durability.
Partly it's cell heating due to charge rates; the Model S uses liquid cooling, our bikes use only passive cooling.
There's certainly room for improving our our battery's charge power, but that only goes so far in typical applications (portable electronics, EVs) .. particularly if it forces other compromises.
It'd be great to charge our 10 kWh bike batteries with 50 kW CHAdeMO (5C) or 135 kW Tesla Supercharger (13.5C .. up to 54C for ZF2.
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It'd be great to charge smaller 24 kWh car batteries (Nissan LEAF) with 135 kW Tesla Supercharger (5C).
Charging at substantially higher power than Tesla's Superchargers - 30 second charge is 120C - would almost certainly require onsite battery backup that is then charged at a slower rate by the grid .. and likewise, charging smaller vehicles or portable electronics would require substantially beefier supplies than we're used to.
Charging a 10 Wh cellphone in 30 seconds would require a 1.2 kW supply, like the 2013+ Zero bikes.
Charging a 100 Wh laptop in 30 seconds would require a 12 kW supply, 240V 60A.
There might be some applications for vehicles that run short routes - municipal buses or possibly race EVs on a track. Suppose a 10 kWh vehicle can execute 10 laps. If you could charge it wirelessly - perhaps in a low-speed turn or over inductive pads - then one lap would require only 3 seconds of charging.
Its power characteristics would also work very well for micro hybrids, which need to be able to sink or source large amounts of kinetic power, without regard for absolute energy storage (usually cost and packaging are more of a consideration).
The key with extremely high-power battery technology - like Toshiba SCiB - is whether their intrinsic characteristics as a whole are more attractive than other chemistries. Toshiba SCiB can be charged in 6 minutes - which is about as fast as you'd really want to charge an EV IMO - but it was expensive and low energy density that ultimately killed it in the market.