ZEUS X-Trust X1 — Technical Appendix A This record adds the technical appendix accompanying the ZEUS X-Trust X1 preprint: “Beyond Authentication: ZEUS X-Trust X1 as a New Autonomous, Self-Healing and Self-Defending Post-Quantum Security Class” DOI: 10. 5281/zenodo. 21967777 The appendix is published within the same ZEUS X-Trust X1 publication context and provides the extended mathematical, experimental and measurement-level analysis underlying the principal results presented in the main preprint. Its purpose is to expose the internal structure of the observed X1 security dynamics in substantially greater detail, particularly the relationship between raw neural amplitudes, normalized response geometry, transient behavior and state recovery. A central result is the experimentally observed separation between legitimate and hostile interaction at two complementary levels. In the raw amplitude representation, legitimate and hostile interactions occupy regimes separated by approximately two orders of magnitude. Together, these amplitudes form the addressable information-geometric space and determination potential of the X1 security substrate. In the normalized representation, the same underlying structure produces stable dimensionless relations: Vₐttack ≈ 4. 112115 Vₗegitimate ≈ 1. 478294 The raw amplitudes therefore describe the larger addressable state space, while normalization exposes a reproducible geometric relation that remains stable across independently initialised X1 substrates despite substantial changes in absolute amplitude scale. The appendix further examines the extreme low-dimensional structure of the measured response geometry. Both settled-state and transient representations reach an effective rank of 1 at 99. 9% explained variance, with approximately 99. 93–99. 94% of the relevant variance concentrated on the dominant response axis. This dimensional collapse applies to the observed response geometry, not to the underlying X1 security space itself. The actual authentication and protection relation remains distributed across the substantially larger instance-bound live-amplitude state. The supplementary analysis additionally documents that: legitimate and hostile interactions occupy distinct amplitude and dynamical regimes; heterogeneous attack classes converge toward a common global attack-response structure; none of the tested hostile interactions reproduced the legitimate transient duration; hostile interaction does not restore the previous valid state bit-exactly; legitimate interaction restores the valid state bit-exactly under the tested recovery condition; and these properties emerge without requiring a separately trained attack classifier. The appendix therefore extends the main X1 paper from the architectural level into the measurement geometry of the live security substrate itself. Together, the main preprint and this appendix document how ZEUS X-Trust X1 moves beyond binary authentication toward an addressable, dynamically measurable and self-restoring information-geometric security space. ZEUS X-Trust X1 This record adds the standalone preprint “Beyond Authentication: ZEUS X-Trust X1 as a New Autonomous, Self-Healing and Self-Defending Post-Quantum Security Class”, published under its own DOI: DOI: 10. 5281/zenodo. 21967777 Although X1 is published as an independent preprint with its own DOI, it is intentionally placed within the publication context of the preceding ZEUS X-Trust / IGAN work. This is a deliberate choice. X1 is not an unrelated publication, but the direct experimental and architectural continuation of the pre-X1 ZEUS X-Trust research line. Keeping the new work discoverable together with the preceding development stages preserves the technical and chronological context while allowing X1 to remain a separately citable publication. The new preprint documents the transition of ZEUS X-Trust from instance-bound live-state authentication toward an autonomous, self-healing, self-defending, and self-protecting live-state security architecture. The broader ZEUS X-Trust validation program now comprises approximately 30 million measured iterations across several hundred experimental runs. The principal large-scale X1 measurement corpus alone contains: nearly 25 million measured iterations; 62 experimental runs with 62 distinct engine initialisations; approximately 13, 500 attack events; 20 structurally different attack classes; and approximately 235 legitimate-input events. Earlier experiments ranging from 10, 000 to 200, 000 iterations established the underlying authentication, state-stability, attack-response, and recovery properties from which the large-scale X1 campaign was developed. A central finding of X1 is that the security substrate does substantially more than return ACCEPT or DENY. Across independent engine initialisations and large changes in absolute amplitude scale, hostile interactions repeatedly produced a highly constrained information-geometric response. The principal dimensionless attack-response relation remained stable at approximately: Vₐttack ≈ 4. 112115 while legitimate interaction reproduced a distinct relation near: Vₗegitimate ≈ 1. 478294 The separation remained observable even though raw amplitudes varied by more than an order of magnitude across independently initialised substrates. The response geometry additionally exhibits an extreme low-dimensional collapse. Both settled-state and transient representations reduce to an effective rank of 1 at 99. 9% explained variance, with approximately 99. 93–99. 94% of the relevant variance concentrated on the dominant response axis. This does not mean that the underlying X1 security space itself is one-dimensional. The low-dimensional structure describes the response geometry, while the actual authentication and protection relation remains distributed across the substantially larger instance-bound live-amplitude state. The X1 corpus further shows that: attack responses and legitimate responses occupy reproducibly different dynamical regimes; none of the tested attack classes reproduced the legitimate transient duration; hostile states do not return bit-exactly to the prior valid state; legitimate interaction restores the previously valid state bit-exactly under the tested recovery condition; and heterogeneous hostile inputs converge toward a common global attack-response law without requiring a separately trained attack classifier. A dedicated operational validation subset produced: 0 / 591 unauthorized attacks accepted; 0 false alarms across 200, 001 rest observations; 19 / 19 legitimate inputs recognized; and an operational response time of approximately 1. 2–1. 6 seconds. The final security decision intentionally remains binary: legitimate live-state relation → ACCEPT intrinsic attack-state response → DENY The significance of X1 is that the neural substrate itself generates the security-relevant information required to reach that decision. The system does not need to identify whether an attack belongs to brute force, substitution, mutation, dictionary, semantic, or another tested class before it can recognize that the valid live-state relation has been lost. The preprint distinguishes three different X1 security layers: Self-Healing — the experimentally observed ability of the neural substrate to restore its valid internal state under the tested legitimate recovery condition. Self-Defending — the intrinsic recognition of the characteristic attack-state response before the final DENY decision. Self-Protecting — the engineered X1 security layer that converts the intrinsic attack signal into active defensive action. The current X1 implementation already uses the detected attack state for: progressive source-bound access delay under repeated hostile interaction; and staged regeneration and rotation of password-bound amplitude-key components while the user's password itself remains unchanged. The security mechanism therefore does not require attack classification in order to act. A detected hostile live-state response is sufficient to produce DENY and initiate the corresponding protection logic. The large X1 corpus nevertheless contains additional information beyond what the current product requires. Selected analyses reveal attack-class-dependent amplitude differences, transient fingerprints, anomaly structure, and richer trajectory-level information. These capabilities are intentionally not operationalized in X1. Systematic attack-class identification, persistent attack fingerprints, graph-based attack representations, attack taxonomy, and possible predictive transition models are reserved for the subsequent Seed 2 research phase. This separation allows the already functioning X1 security architecture to remain focused and commercially deployable without requiring completion of the next research generation. Additional future engineering and validation may extend the same intrinsic attack-state signal toward broader rate control, session isolation, protective separation of exposed systems, hardware-bound challenge-response, replay-resistant carrier variation, compact watchdog implementations, and broader deployment environments. These functions are treated separately from the experimentally established X1 product boundary. The public release accompanying this work contains a curated subset of approximately 8. 5 GB from an internal X1 analysis corpus of approximately 60. 8 GB of raw measurements, intermediate outputs, reports, and visualisations. The public data were selected to provide substantial independent analytical evidence while excluding information that could enable reconstruction or reverse engineering of proprietary X1 mechanisms. The present X1 preprint therefore represents a distinct development stage within the ZEUS X-Trust research line: from live-state authenticationto intrinsic attack recognitionto autonomo
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