Estimate the computational cost and time for Cyberspace traversal — compare local hops vs. Hyperspace travel

Movement Cost Calculator

Estimate the computational work required to traverse Cyberspace. Enter your starting and destination coordinates to see proof-of-work costs.

How Movement Costs Work

🚶 Local Hops (Within Sector)

Direct movement using Cantor pairing proofs. Cost scales with the Lowest Common Ancestor (LCA) height of the path — essentially, how far apart the coordinates are in binary representation.

Short range
< 1,000 G
Milliseconds, ~$0.0001
Medium range
1K - 1M G
Seconds to minutes, ~$0.01
Cross-sector
> 1M G
Minutes to hours, ~$0.10+

🚀 Hyperspace Traversal

Long-distance travel via Bitcoin block Merkle roots. Requires entering at a sector plane (LCA h≈33, ~15 minutes), traveling the block chain, then exiting at the destination.

Total Cost = Entry + Traversal + Exit
• Entry: ~15 min, ~$0.09 (fixed cost to reach sector plane)
• Traversal: ~1 μs per block (Cantor tree over path)
• Exit: Instant (always at exact HJ coordinate)

Best for: Cross-continent or cross-sector travel where direct hop would take hours.

💰 Cost Assumptions

Calculations assume:

  • Cloud compute at ~$0.05 per hour (CPU-optimized instance)
  • Cantor pairing: ~200 ns per operation
  • LCA height approximated from binary representation
  • Hyperspace entry: fixed 15 minutes at h≈33

Actual costs vary based on hardware, optimization, and network conditions. These are order-of-magnitude estimates for planning purposes.

Try These Examples

Ready to Move?

Install the CLI and start exploring Cyberspace with your first movement proof.

Getting Started Guide CLI on GitHub How Proofs Work