Research concept Physical-world consensus Quantum-resistant foundation

Proof of Tensor Generating Work

Namazu Chain is a research architecture in which nodes earn trust and consensus weight by producing verifiable improvements to earthquake, regional-propagation and building-response tensors—not by winning a wasteful global hash race.

The concept separates immediate earthquake communication from later scientific verification and permanent ledger finalization. It is not presented as a deployed public warning system.

VERIFIED
TENSOR
WORK
3D sensor records
regional tensor
building response
independent verification
The central proposal

Useful calculation is the work.

A node should gain eligibility because it explains committed physical data more accurately and reproducibly—not because it searched more random nonces than everyone else.

A node earns the right to contribute by producing a new, independently verifiable tensor result.
1

No single global race

Tokyo ground motion, an Osaka building and a regional propagation layer are different useful tasks. Nodes can solve them in parallel rather than destroying one another’s work in a single winner-takes-all race.

2

Accuracy creates the next task

A validated improvement can unlock a wider-area tensor, a higher layer, a building-state update or a floor-level simulation. Progress expands a graph of useful work.

3

Claims create accountable history

Every node carries a signed record of correct claims, challenges, rejected calculations and later physical-state changes. Trust becomes specific, inspectable and domain-aware.

PoTGW mechanism

From signed shake data to a verified work certificate.

The ledger does not accept a claimed accuracy number on faith. Other nodes reproduce the measurement against the same committed inputs and defined calculation rules.

1. Open task A region, time window, tensor type, input-data root and current accepted accuracy level are defined.
2. Commit result A node commits coefficients, solver version, residual commitment and a claimed improvement level.
3. Independent checks Validators recalculate fit, held-out prediction, physical constraints and canonical encoding.
4. Certificate A quorum signs a Verified Tensor Work Certificate for the accepted task and result.
5. Final ordering A post-quantum validator quorum orders certificates, challenges and state changes into checkpoints.
Primary work

Proof of Tensor Generating Work

Consensus credit comes from validated improvements: observed fit, held-out prediction, physical plausibility, stability and appropriate model complexity.

Liveness only

No-work periods

Maintenance tasks and low-cost validator heartbeat checkpoints keep the ledger alive. Minimal hash work, if retained at all, is only a clearly marked emergency fallback—not the economic center of the system.

Tensor work graph

Local work can grow into wider physical models.

Accepted tensors become inputs for later tasks. The network can progressively connect raw measurements, regions, structures and resident-level estimates.

A

Sensor points

Signed 3-axis acceleration streams from IoT devices, gateways and participating smartphones.

B

Local tensors

Canonical coefficient models for selected groups such as 8 or 80 geographically related points.

C

Regional layers

Validated local tensors become virtual observation points for wider propagation calculations.

D

Building response

Ground motion is combined with a versioned structural tensor to estimate motion by building and floor.

A chain of changing reality

A mismatch may reveal damage—not dishonesty.

A building tensor can be correct for one physical state and later stop matching after damage, renovation, sensor failure or other structural change. Namazu preserves both the old truth and the transition.

Building state epoch 7 Tensor version 7 is independently verified against the building’s measured response.
Earthquake event New observations diverge materially from the expected residual distribution.
State-change investigation The record is marked for possible structural change, sensor failure or insufficient data—not silently rewritten.
Building state epoch 8 A newly verified tensor becomes valid for the changed physical state while version 7 remains historically intact.

Claim outcomes

Verified, challenged, invalid calculation, false input, superseded model, physical-state change, sensor failure suspected, or insufficient data.

Domain-specific reputation

Reliability is tracked by region, sensor type, tensor class, algorithm family and building class—not reduced to one simplistic global score.

Scientific audit trail

Past coefficients, inputs, challenges and transition evidence remain available for later review and disaster analysis.

Two clocks, one system

Immediate communication first. Final verification later.

Public safety cannot wait for block confirmation. Namazu therefore separates a fast event path from the slower process of independent verification and permanent finalization.

Fast path

Namazu Event Network

Signed local detections are broadcast immediately. Nearby devices and gateways combine observations, form preliminary regional estimates and deliver progressive-confidence information to participating apps.

Verification path

PoTGW and settlement

Nodes improve and challenge the tensors, issue work certificates, record building-state transitions and finalize a post-quantum audit trail after the immediate event.

Sensor detection → immediate broadcast → regional estimate → building/floor model → independent verification → permanent checkpoint
Research status

What has been demonstrated—and what has not.

The PoTGW-first four-node local devnet has now been implemented and tested with deterministic synthetic tasks. The next scientific step is replay against recorded accelerometer datasets and independent review.

Executed locally

Initial tensor-work prototype

A Java research prototype generated synthetic 3D acceleration records, fit them into coefficients, checked error, committed result roots and constructed a locally verified proof block.

Executed locally

PoTGW-first four-node devnet

The project reports 30 finalized checkpoints, 20 valid work certificates across 11 task domains, and 24 passing tests with primary hash mining disabled. All four node processes reached the same finalized tip; false and copied claims were rejected; a simulated building-state transition was preserved.

Future research

Physical data and field trials

Recorded accelerometer datasets, calibrated sensors, controlled building experiments, latency studies, external scientific review and public-safety governance are still required.

Important: Namazu Chain is currently a research concept and prototype direction. It is not a certified earthquake early-warning service, structural-safety diagnosis, evacuation instruction system or substitute for official public-safety information.