ZEUS X-Trust X1 Expanded Validation of Live-State Authentication

ZEUS X-Trust X1 — Expanded Validation of Live-State Authentication This record presents the new preprint: “ZEUS X-Trust X1 Expanded Validation of Live-State Authentication: More than 60 Million Measured Iterations, more than 450,000 Attack Attempts — over 150 GB of Raw Measurement Data since X1 development: Zero Unauthorized Acceptances on the Path to X2” The publication advances the research established in the preceding X1 preprint and its mathematical appendix through substantially expanded adversarial testing, controlled password-discrimination experiments and operational authentication validation. The central achievement is the combination of sustained rejection of unauthorized inputs and exact recovery of the legitimate authentication state. These properties are examined across long executions, freshly initialized instances and the operating transitions encountered by an authentication system. The V6ext campaign comprises 15 million forwards and 150,000 forwarded attacks across 27 classes. Every attack was rejected. The legitimate authentication reference was reproduced at an exact measured distance of 0.0 in every block. The V7 campaign adds 30 million forwards across 30 configurations. Its 300,000 scheduled main-run attempts comprise 103,402 internal verifier denials, 191,198 gate rejections and 5,400 unexecuted attempts, with the latter reported separately from successful defenses. No unauthorized acceptance was observed on the evaluated paths. The genuine access interface additionally produced 567 correct decisions: 216 legitimate acceptances and 351 denials, including blocked requests. A particularly significant result concerns the separation between genuine and fake passwords under controlled starting conditions. Across three freshly initialized instances, repeated-input confirmation achieved 9/9 genuine-password acceptances and 36/36 foreign-password rejections. Genuine inputs restored all 36 reference matches and reached an exact final distance of 0.0. Foreign inputs matched no reference position throughout the measured trajectories. A separate comparison of 1,127 false candidates showed that single-character substitutions, random wrong passwords and altered prefixes did not reproduce the full legitimate-password signature. The expanded analysis further establishes that: Geometric differentiation is measurable: classification across 24 addressable stages reached 99.75% accuracy, with normalized mutual information of 0.995. Partial password knowledge supplied no reliable progressive correctness signal in the tested observables; near-complete wrong passwords remained rejected. Legitimate recovery depends on the driving protocol: repeated genuine input reconstructs the accepted relation, while relaxation after a single injection produces a distinct resting-state result. Operational protections survive the tested transitions, including lockout, restart, checkpoint resumption, concurrent failures and automatic reset. Binding manipulations remain denied, including cases with partial diagnostic matches that do not satisfy the complete authentication relation. The broader research effort has accumulated approximately 150 GB of raw data and involved approximately one billion tokens across the research workflow. Together, these findings establish an extensively exercised live-state authentication system with reproducible recovery, differentiated internal geometry and validated operational behavior. The preprint provides the experimental bridge from X1’s autonomous security dynamics to the next development stage: X2. Complete dataset available on request: 10.5281/zenodo.22737465. 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: V_attack ≈ 4.112115 V_legitimate ≈ 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. @29.08.2026 updated the raw data. 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: V_attack ≈ 4.112115 while legitimate interaction reproduced a distinct relation near: V_legitimate ≈ 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 intera