[Cryptography] [Web4] A PDE-Based, Ledgerless Digital Currency System

[nouun]

Hi all,

I would like to share a new protocol proposal called Web4,
a fully ledgerless, consensus-free digital currency model based on
Laplacian dynamics and local imbalance (Δ)-based state updates.

The system removes:
- global history
- global consensus
- blockchains
- timestamps
- issuance
- transaction records

Instead, value is modeled as an instantaneous solution to a PDE-like
equilibrium (Lx = 0), where nodes maintain only local imbalances.  
The security model includes a proof of:

- double-spend impossibility (reductio)
- information-theoretic anonymity (MI = 0)
- trace impossibility under any observer
- replay-impossibility due to Δ-conservation (ΣΔ = 0)

Full paper (PDF):
IPFS: https://ipfs.io/ipfs/QmUgh9cwfKM29Ziv2gfyPLZwC8vmBbibVB1rjcXhKqoCRq
(Duplicate: https://ipfs.io/ipfs/bafkreifjbr6bufuwynktlhh4qkxoa2wswvoaa5jmkro3fa7oarufnlemtm)
Tor mirror: http://5ynukd6nbidflxbigvw4wuqgfug7cqoda5oi53udmrjxcmb5ltagmgid.onion
GitHub: github.com/munonun/Web4

Possibly relevant to those interested in:
cryptography, distributed systems, PDE-based computation,
privacy, information theory, and ledgerless monetary models.

Feedback, analysis or criticism is welcome.
I may respond slowly due to time constraints.

Best,
KIM BYEONGYEON