What is the Centripetal Settlement Layer?

The Centripetal Settlement Layer (CSL) is the architecture underlying $VCUR. It fuses HTLC micro-routing for sub-millisecond fee rails, stablecoin shard oracle pricing for fiat-denominated stability, Proof-of-History slot sequencing for 10K TPS throughput, and Federated Byzantine Agreement for deterministic 400ms finality into a single coherent protocol designed around centripetal — inward-converging — dynamics.

How does VCUR achieve native recurring payments?

VCUR implements the RECUR pull-authorisation protocol: users sign a one-time authorisation granting a merchant a cryptographic licence to pull specified amounts on a defined schedule. Unlike smart-contract wrappers, the pull mechanic is native to the CSL consensus layer — no trusted third-party custodian is required to trigger the payment.

What are the VRIL token tiers?

The VRIL ecosystem has five tokens in a centripetal hierarchy: $VCUR (user-facing currency, recurring payments, card tier qualification), $VLABS (governance and treasury control, minted by staking VCUR), $VRAY (AI compute fuel, burned per operation), $VKEY (earned credential, not for sale), and $VWONE (research patronage receipt NFT).

$VCUR — VRIL-RECUR Cryptocurrency

Crypto still can’t do subscriptions. Until now.

Every blockchain built since Bitcoin has inherited the same fundamental architecture: push-only payments. Each transaction requires a live user signature. This makes true recurring billing impossible at the protocol level.

Push-Only Architecture

Every blockchain from Bitcoin to Solana requires the payer to actively sign and broadcast each transaction. No protocol can pull funds from your wallet without your real-time participation. This makes automated billing fundamentally impossible at the chain level.

0 blockchains with native pull payments

Centralised Custodian Dependency

Existing solutions — Layer-2 stable wrapping services, custodial Lightning Service Providers, and off-chain trigger relays — all require a trusted third-party operator to initiate payments on behalf of users. This reintroduces the exact trust model cryptocurrency was designed to eliminate.

100% of existing solutions require a custodian

The Four-Way Trade-Off

HTLC rails — secure, minimal footprint, no native stable value. Shard oracle pricing — stable denominator, no autonomous execution. PoH sequencing — high throughput, requires liveness guarantees. FBA consensus — deterministic finality, no turing-complete scripting layer. No single architecture provides speed + stability + programmability + trustless pull-payment capability simultaneously. Building subscriptions requires stitching multiple systems with centralised glue.

$8T subscription economy stranded on legacy rails

No Stratified Token Economy

Existing chains expose a single base asset — ETH, SOL, BTC. A real subscription protocol needs four distinct economic surfaces: a settlement coin, a research-treasury, a compute-provisioning unit, and a patron alignment receipt. Without separation, governance overlaps with utility, fee routing collapses into speculation, and patron incentives end up diluted by unrelated traders. Every subscription product on legacy chains has had to reinvent this stack from scratch.

$VCUR·$VLABS·$VRAY·$VKEY·$VWONE

Centripetal Settlement Layer

VCUR does not simply bridge existing chains. It derives each capability from the chain that perfected it, fusing them into a single coherent protocol designed around one principle: implosion over explosion. Centripetal over centrifugal. Converge, don’t broadcast.

01

Micro-Routing Core (MRC)

HTLC-compatible payment channel routing. Sub-second micro-payments with no on-chain footprint per transaction. Enables the $0.0001 average fee.

MRC · HTLC Rail

02

Stablecoin Shard Oracle (SSO)

Per-ledger-close USD-denominated price attestation. Subscriptions quoted in any fiat currency, settled in VCUR at consensus-attested exchange rates. No external oracle risk.

SSO · Shard Oracle

03

Proof-of-History Clock

Cryptographic VDF-based timestamp chain providing total ledger ordering without real-time network communication. Enables 400ms slot times and 10K+ TPS across 32 parallel shards.

VDF · PoH Clock

04

Federated Byzantine Agreement

Deterministic consensus providing mathematically irreversible ledger close within ≤400ms. The same consensus foundation trusted by Deutsche Bank, Ripple, and 50+ financial institutions.

FBA · Finality Core

CSL

RECUR Pull-Authorisation Primitive

VCUR’s original contribution: the only protocol-native, trustless, non-custodial pull-payment authorisation in all of cryptocurrency. One signed mandate enables unlimited future automated billing cycles without user intervention.

VCUR Original

How RECUR works

The RECUR protocol requires four protocol-level events to establish a fully autonomous, trustless subscription. The user’s active participation is only required once.

Issue Mandate

Subscriber signs a single RECUR_MANDATE transaction specifying merchant, amount, and cycle duration. This is the only action required from the user.

φ-Timer Ring

The mandate is indexed into the CSL validator timing ring by next due slot. When the cycle window opens, any validator detects it and initiates execution.

Auto-Execute

Validator executes RECUR_PULL: SSO resolves fiat amount, balance is checked, funds transfer, ZK-SNARK proof is generated — all in one atomic ledger close (≤400ms).

Proof + Access

A compact 128-byte RECUR_PROOF is emitted on-chain. Any service can verify in O(1) time to grant access — no polling, no webhook, no database query required.

VCUR vs. every alternative

The subscription payment stack has never had a single chain that meets every requirement simultaneously — until the Centripetal Settlement Layer.

Capability	Bitcoin/LN	USDC/Polygon	Solana	XRP	$VCUR (CSL)
Settlement Finality	<1s payment / on-chain close 10–30 min¹	<5s²	400ms slot · 12.8s full³	3–5s deterministic⁴	≤0.4s
Throughput (TPS)	7–10 (base) / ~1M theoretical (LN)¹	5,000 sustained (post-Rio)²	1K–4K real / 6,284 peak⁵	1,500 sustained⁴	10K+ sustained
Avg Transaction Fee	~$0.001 (LN)¹	~$0.002²	~$0.00025⁶	~$0.0002⁴	$0.0001
Price Stability	Volatile	USD-pegged (Circle native)⁷	Volatile	Volatile	SSO-stabilised (VCUR+USD)
Native Recurring Payments	✗ Requires LSP	✗ Requires off-chain processor	✗ Requires off-chain trigger	✗ Not supported	✓ Protocol-native
Trustless Billing	✗	✗	✗	✗	✓ ZK-SNARK proofs
Network Reliability	99%+ (well-config nodes)¹	99.9% (no chain reorgs)²	99.99% YTD 2025; last major outage Feb 6, 2024⁸	99.9%+ (12+ yrs, no outage)⁴	Target 99.99%
Post-Quantum Security	✗ ECDSA only	✗	✗	✗	✓ VRIL-KEM (Module-LWE)
Open Source	✓	✓	✓	✓	✓ (Mainnet launch)

Methodology & sources 8 references

Figures last validated April 2026 against primary network documentation and independent monitoring services. Lightning Network metrics distinguish in-channel payment latency from on-chain channel-close settlement; Solana TPS cites non-vote, user-transaction throughput per Chainspect.

1
Lightning Network — throughput, fees, reliability. 1ML Statistics (live capacity / channels), Bitcoin Visuals capacity charts, Lightning Labs documentation. 1ml.com/statistics · bitcoinvisuals.com/lightning · lightning.engineering
2
Polygon PoS — finality, fees, throughput post-Rio upgrade. Polygon Labs official network documentation and Rio hardfork release notes (5,000 TPS sustained, <5s finality, no chain reorgs). polygon.technology/blog · docs.polygon.technology/pos
3
Solana — slot time vs. full finality. 400 ms slot confirmation vs. 12.8 s full Tower BFT finality (Alpenglow upgrade targets ~150 ms). Chainspect live data and Solana Foundation Alpenglow proposal. chainspect.app/chain/solana · solana.com/news/alpenglow
4
XRP Ledger — deterministic finality, fees, sustained TPS, uptime. 3–5 s deterministic close, 1,500+ TPS sustained, ~$0.0002 fee, 12+ years without an outage. xrpl.org · xrpl.org/docs — transaction cost
5
Solana — real-world (non-vote) TPS. 1,000–4,000 TPS during normal load; 6,284 TPS observed peak on mainnet. Chainspect non-vote series and Solana Compass throughput history. chainspect.app/chain/solana · solanacompass.com
6
Solana — average transaction fee. Q1 2025 average ~$0.00025 per non-vote transaction at SOL ~$170. Solana Foundation network statistics. solana.com/news
7
Circle native USDC on Polygon. Native USDC issued and 1:1 redeemable by Circle (contract 0x3c49…3359); >$500 M native USDC in circulation on Polygon as of Nov 2025. circle.com/blog
8
Solana network reliability. 99.94% uptime Mar 2023–Feb 2024; 99.99% YTD 2025. Last major consensus halt: Feb 6, 2024 (4 h 46 m, LoadedPrograms JIT cache bug). Solana Foundation post-mortems & StatusGator monitoring. solana.com/news · statusgator.com/services/solana

Physics of the Centripetal Settlement Layer

The CSL’s design is grounded in five bodies of suppressed or underexplored physics. Each scientist’s core finding maps directly to a specific protocol mechanism.

Viktor Schauberger (1885–1958)

Implosion & Centripetal Vortex Dynamics

Schauberger demonstrated through the Repulsine device that inward-rotating cycloid spiral chambers produce levitative thrust and anomalous energy concentration — the precise inverse of conventional thermodynamic dissipation. His core principle: nature concentrates energy through centripetal motion.

v(r) = k/r — Hyperbolic vortex velocity increases as radius decreases toward implosion point.

CSL Mapping: The φ-spiral validator ring topology directly implements Schauberger’s centripetal convergence. Consensus messages accelerate as they approach the FBA hub, guaranteeing 95%+ UNL vote delivery within 320ms of slot open.

Johann Zenneck (1871–1959) + Nikola Tesla (1856–1943)

Boundary-Concentrated Electromagnetic Propagation

Zenneck’s 1907 surface-wave analysis showed that EM waves propagate along dielectric boundaries with zero radiative loss — confirmed experimentally in 2020. Tesla’s Magnifying Transmitter exploited the same principle for wireless power via Earth’s telluric boundary layer.

Zenneck surface: E ∝ e^{−γz} at boundary — exponential confinement, non-radiative propagation.

CSL Mapping: Validator Boundary Routing (VBR) models the UNL graph as a Zenneck surface. Consensus messages route along maximum-conductivity paths, reducing gossip traffic by ~60% while improving latency.

Viktor Grebennikov (1927–2001) + Eugene Podkletnov (1958–)

Cavity Structural Effect & Resonance Geometry

Grebennikov discovered the CSE: micro-cavity arrays with ~1:1.618 (φ) aspect ratios produce resonant near-field effects that decay anomalously slowly with distance. Podkletnov’s rotating YBCO superconductor experiments independently confirmed geometric resonance creates field effects beyond naive locality expectations.

CSE resonance aspect ratio: w/h ≈ 1/φ = 0.618... (golden ratio inverse)

CSL Mapping: The Shard Resonance Protocol assigns cross-shard widths using φ-ratio cavity dimensions. Adjacent shards synchronise via near-field phase-lock beacons (16 bytes/slot), eliminating clock drift at 10K+ TPS across 32 shards.

$VCUR (VRIL-RECUR): Centripetal Settlement Layer for Native Recurring Cryptocurrency Payments

Full technical specification for the RECUR pull-authorisation protocol, φ-spiral consensus architecture, post-quantum hardening via VRIL-KEM, and the ERC-8191 compatibility layer with Schauberger-derived 7-day interval alignment.

Sections

13 Sections

incl. ERC-8191 & CVKDF Alignment

References

31 Citations

ALA 7th Edition format

Version

v1.1.0

April 2026 — Alpha Specification

New in v1.1

§13 ERC-8191

CVKDF interval alignment theorem

Abstract

We present VRIL-RECUR ($VCUR), a novel Layer-1 cryptocurrency protocol that solves the architectural impossibility of native pull-based recurring payments in push-only blockchain systems. VCUR introduces the Centripetal Settlement Layer (CSL) — a φ-spiral ledger topology derived from Schauberger's implosion dynamics, combining Proof-of-History timestamping, Federated Byzantine Agreement finality, HTLC-compatible micro-routing, and a stablecoin shard oracle. The RECUR pull-authorisation primitive is the first trustless, non-custodial, protocol-native subscription payment standard. ERC-8191 §13 documents how the canonical 7-day interval aligns bijectively with VRIL-KEM's 7-layer CVKDF, creating a cryptographic moat unique to $VCUR.

Read Full Whitepaper Jump to §13 ERC-8191

Token Distribution

Engineered Allocation

Every percentage is a decision. The $VCUR supply is structured to sustain the protocol, reward participation, and permanently fund work the rest of the world refuses to do.

1B

Total Supply

Presale30%

Liquidity20%

Rewards15%

Marketing12%

Reserve10%

Team (vested)8%

Research Fund5%

Presale 30%

300,000,000 VCUR · Public presale across four stages with increasing price floors. Unsold tokens burned at TGE.

Liquidity 20%

200,000,000 VCUR · DEX liquidity pools (Uniswap v3) locked for 24 months via Unicrypt.

Ecosystem & Rewards 15%

150,000,000 VCUR · Staking rewards, card cashback, referral, and governance incentives. Streamed via vesting contract.

Marketing 12%

120,000,000 VCUR · KOL campaigns, exchange listings, community grants. 6-month linear vesting post-TGE.

Reserve 10%

100,000,000 VCUR · Strategic reserve for partnerships, emergency liquidity, and future exchange listings. Multi-sig locked.

Team 8%

80,000,000 VCUR · 12-month cliff, 36-month linear vesting. No team tokens unlock before TGE + 12 months.

VRIL LABS Energy Research Fund 5% · Permanent

50,000,000 VCUR at TGE + 5% of all future protocol revenue. Ring-fenced on-chain in a 3-of-5 multi-sig. Finances implosion, Raumenergie, orgone, and aetheric field experiments. See Fund details ↓

Permanent Protocol Allocation

VRIL LABS
Energy Research Fund

Five percent of all $VCUR protocol revenue is permanently routed — at the smart-contract level, not by policy — into a ring-fenced on-chain wallet that exists for a single purpose: funding the class of experiments that institutions, governments, and conventional capital refuse to touch.

Implosion dynamics. Raumenergie [space energy]. Orgone accumulation. Aetheric field mechanics. These are not fringe notions — they are systematically suppressed lines of inquiry with documented experimental results, seized apparatus, and researchers who died in obscurity or custody. Every $VCUR transaction is a centripetal pulse back toward that buried knowledge.

5%

Protocol Revenue

3-of-5

Multi-Sig

Open

Public Ledger

Research Fund Wallet

0xVRIL · · · [multi-sig address published at TGE]

Network

Ethereum

Contract Type

Safe (Gnosis)

Signers

3-of-5

Timelock

72-hour

Allocation

5% · Auto-routed

Explorer

Etherscan ↗

"The day science begins to study non-physical phenomena, it will make more progress in one decade than in all previous centuries of its existence."
— Nikola Tesla · suppressed aetheric research, ~1892

What The Fund Builds

Four research lines. Zero apologies.

Schauberger Implosion

Vortex turbine replication, logarithmic spiral fluid dynamics, and the 4°C water anomaly-point. Measurement-first: thermal, thrust, ionisation.

Schappeller Urkraft

Primal-force sphere reconstruction. Glowing magnetism, Ur-Machine topology, and the relationship between Raumenergie [space energy] and Urkraft [primal force].

Reich Orgone

Accumulator construction, To-T thermal differential protocols, ORANUR effects, and orgone motor replication using modern GDV/Kirlian biometric instrumentation.

Tesla Aetheric Systems

Longitudinal wave transmission, radiant energy capture, and the suppressed coil configurations documented in Tesla's 1892–1899 Colorado Springs notebooks.

Patent Archaeology

Acquisition, translation, and experimental reconstruction of pre-1945 German and Austrian lapsed patents in aetheric energy, implosion propulsion, and biological frequency therapy.

Open Publication

All funded experiments published as open VRIL LABS research papers — measurement data, apparatus specs, and full reproducibility notes. No closed science.

On-Chain Governance

Multi-Sig Architecture & Disbursement Policy

The Fund operates as an on-chain Gnosis Safe with a 72-hour timelock on all outgoing transactions. Every disbursement is a public Ethereum transaction, labelled with the experiment it finances.

Multi-Sig Policy

Wallet type: Gnosis Safe (Safe{Wallet}) — ERC-4337 compatible
Threshold: 3-of-5 signers required for any outgoing transaction
Timelock: 72-hour delay between proposal and execution (overridable only by 5-of-5)
Signers: VRIL LABS founder + 4 independent technical/research signers, identities disclosed at TGE
Rotation: Annual signer review; removal requires 4-of-5 existing signers
Emergency: Freeze function callable by 3-of-5 with no timelock — halts outgoing transactions only

Revenue Routing

TGE allocation: 50,000,000 VCUR (5% of 1B supply) transferred to Fund wallet at token generation
Presale proceeds: 5% of USD raised routed in USDC to Fund wallet at each stage close
Protocol fees: 5% of all future swap/bridge/card fees auto-split via fee splitter contract
Reporting: Quarterly disbursement reports published on vril-labs.io/research-fund
Burn clause: If no qualifying experiment is funded within 12 months, 10% of idle balance is burned

// Fee Splitter — simplified mapping(address => uint256) public shares; shares[RESEARCH_FUND] = 500; // 5.00% shares[LIQUIDITY_POOL] = 6000; // 60.00% shares[OPERATIONS] = 2500; // 25.00% shares[BURN] = 1000; // 10.00%

Disbursement Criteria

Minimum proposal: 3-page lab protocol — apparatus, measurement stack, falsifiable prediction
Eligible recipients: VRIL LABS internal lab, partner orgs (DVR, Implosion Verein, Reich Museum, PKS), independent researchers
Maximum single grant: 25% of fund balance — prevents concentration
Publication requirement: Results published as open VRIL LABS whitepaper within 6 months of experiment completion
Measurement standard: Primary instruments TÜV-calibrated or equivalent; GDV/Kirlian biometric where applicable

Future Governance

Phase II (post-TGE + 6 months): $VCUR holders with ≥ 10,000 tokens may submit and vote on fund proposals
Quorum: 5% of circulating supply; simple majority to approve; super-majority (67%) to amend policy
Veto: Multi-sig retains veto on proposals that conflict with foundational research principles
Signal voting: Snapshot (gasless) signalling precedes on-chain ratification — no gas cost for holders

Get Involved

The Fund is open to proposals.

If you are conducting experiment-grade work in any of the four research lines above, submit a 3-page lab protocol to the address below. Independent researchers are welcome.

Submit a Proposal View Research Programme ↗

Buy $VCUR

Introducing$VCUR