Assurance: why a capture is hard to forge

The empirical hardness side of the Reality Kernel: measured, not proven, and checked by physics and by a group of instruments rather than by trust.

P.I.G.M.I.E. Filing 1 · patent pending

A Reality Kernel records light under committed controls. Assurance is the question of why that record is hard to forge, and how a disagreement is confirmed by physics and by a group of instruments rather than by trust in one device.

Why one capture is hard to forge

The mechanism is physical, and it operates on a single capture. As it records, the controller commits to a control sequence, the scan law, the focus, and the timing, that an attacker cannot anticipate. The scene, and any reactor in the path, respond to that sequence physically; where a reactor is present, its response depends on memory, nonlinearity, and manufacturing microstructure that are hard to reproduce without the device itself. To produce a capture that a meter accepts, a forger must therefore either hold the physical instrument or out-predict both the committed control sequence and the reactor's response to it. That is what the hardness below measures.

Empirical hardness

Hardness is empirical. It is measured against a stated attacker and a stated budget. It is not a formal proof. It is not a zero-knowledge guarantee.

A forgery claim is therefore indexed. It says that, for a given attacker, a given budget, and a declared threshold, producing a capture that passes is hard. The claim must be re-evaluated as attackers improve.

The demonstrated and recomputable case is the digital Truth Beam. It is evaluated against one trained forger on one rig. That case is documented separately at truthbeam.com.

Meters

A meter is a learned test that decides whether a capture matches the committed controls. It does not make the capture. It scores the relation between the capture and the controls.

A meter envelope, or meter family, is the declared set of admissibility bounds a run must stay inside: limits on brightness, colour, exposure, latency, and related quantities. The meter scores a capture; the envelope says which runs are admissible in the first place.

A meter is trained on examples. It is scored on held-out data, which is data not used for training. It is then tested against better forgers as they appear. This forms a repeated meter game.

A meter that continues to separate genuine captures from forged captures remains useful. A meter that stops separating them is retired. It is not defended by assumption.

Ordering

Temporal order means the order of events inside one record and across participating instruments. In this volume, ordering comes from mutual analogue timestamping.

Mutual analogue timestamping means that instruments observe timing structure in each other and in the shared scene. The timestamp is carried by physical behaviour, not by trust in a single clock.

No discrete component is required for this ordering claim. One discrete digital instance, the Truth Beam, is optional and is documented separately at truthbeam.com.

Proof of discrepancy

Fleet devices train a predictive model Q; Step 1 discovery: a device runs a challenge, compares observed vs predicted, residual exceeds threshold; Step 2 submission: a method-object tuple; Step 3 physical re-execution: an independent device re-runs and confirms, then the model updates
Filing 1, Fig. 5: the proof-of-discrepancy protocol; an anomaly is confirmed by independent physical re-execution.

A discrepancy is a measured difference between expected device behaviour and observed device behaviour. It is confirmed by re-running the physical challenge, not by trusting the reporting device.

A shared predictive model, called Q, learns what device behaviour should look like. It is trained across the fleet on confirmed-genuine runs, so a single deviating device shows up as a residual rather than retraining the baseline; only an independently re-executed, reproduced residual updates Q. A residual is the observed result minus the result predicted by Q.

When a device runs a challenge and the residual exceeds a declared threshold, it submits a method-object tuple. A method-object tuple is a reproducible recipe. It specifies the procedure and the object or condition to be tested.

An independent device then re-executes the same challenge. If the residual reproduces, the anomaly is confirmed. Q is updated to include the new finding.

The difficulty is physical. The confirmation is a second real physical run. A confirmed discrepancy is therefore an empirical finding.

Witness mesh

A witness mesh is a group of Reality Kernels that observe with bounded-latency fast loops and independent, non-overlapping or partially overlapping views.

The mesh strengthens empirical hardness. A forgery must satisfy many coupled witnesses at once. It must not only fool one camera.

Across the mesh, a transitive proof-of-projection lets a node's committed projection be checked by other nodes against their own observations and challenges. A committed projection is the node's declared view of what its controls and observations imply.

Trust in the mesh is weighted by track record. It is not assumed.

These are empirical claims, not formal proofs. A proof-of-projection is a calibrated attestation, not a proof system with soundness and completeness, and its transitive form is not a composable formal proof. Its strength is contingent on declared assumptions: how many witnesses an attacker can compromise or collude with, resistance to spun-up false witnesses, and the separate threat of an attacker who controls the scene itself. The research sets out the protocol; the adversary model has to be stated for any given deployment, not assumed away.

Status

The Truth Beam, the verification case, is the demonstrated and recomputable instance, evaluated against one trained forger on one rig. The witness mesh and the proof-of-discrepancy protocol are not built systems. They are enabled descriptions, published in Filing 1 as part of the research project, with the physical envelope still being characterised.

See also

The Reality Kernel · the apparatus and formalism.
Regimes, stances, and yoked operation · the three objectives.
truthbeam.com · Truth Beam, the demonstrated verification instance.