EGREGORE PROTOCOL PAPER

Rune Economics

A mint registry and EGR claim economy for the post-quantum human layer.

System Model

E = (R, H, C, M, Ψ)
R = rune registry
H = committed entropy root
C = claim surface
M = memory transform
Ψ = participation memory

01Human Mintlive entry

02Rune Registry20,000 tokenIds

03Entropy Rootweight source

04EGR Claimallocation rights

05Rune Memorystaking layer

Core System

Egregore issues 20,000 Sealed Runes. Each rune is an NFT with live EGR allocation rights. The mint transaction opens the rune with its random claim weight immediately.

Supply20,000EGRRUNE

Mint price0.0025 ETH50 ETH cap

Mint limit20 per tx100 per wallet

Dev wallet0x364B...9F21mint + tax

Allocation Function

H = committed entropy root
η(i) = keccak256(H, tokenId) mod 100
A(i) = Π(η(i))

Claim Distribution

APEX

ORACLE

SIGNAL

CIPHER

ECHO

LATTICE

VECTOR

FIELD

NODE

RELAY

TRACE

ASH

NULL

DUST

VOID

ECLIPSE

Allocation Surface

top band120,000 EGRAPEX

median band37,500 EGRNODE

floor band7,777 EGRECLIPSE

band count16live curve

Token Economy

S = 1,000,000,000 EGR
R = 851,177,200 EGR
Ω = 148,822,800 EGR
S = R + Ω

Supply Partition

Rune claim pool 85.11772% Reserve 14.88228%

The rune claim pool distributes 85.11772% of supply through NFT ownership. The protocol reserve supports liquidity, development, and future registry campaigns.

Staking Score

profitFactor(p) = 1 + ln(1 + max(p, 0))
riskFactor(v) = 1 / (1 + v)
score(i, d, q, p, v) = sqrt(d + 1) * bandMultiplier(i) * q * profitFactor(p) * riskFactor(v)
Σ = sum(score(all staked runes))
rewardShare(i) = score(i) / Σ
memory(i, t) = memory(i, t-1) + score(i, d, q)

Square-Root Participation Curve

The square-root curve rewards longer participation while preserving room for new entrants and future campaign multipliers.