Spin-Statistics Connection Recovered Later
Once the ancestry had developed into a sufficiently rich local relativistic field-like regime, the connection became supportable within the tested model.
This page records selected gates, passes, bounded results, failures, corrections and quantitative findings from the Core research program. Results are reported only as strongly as the underlying test supports them.
Core does not use one universal numerical threshold for every experiment. Each gate is defined according to the capability being tested. Some tests are quantitative, others test structural necessity, stability, discrimination, conservation, robustness, or whether a proposed ancestry survives competing explanations.
The proposed capability satisfied the criteria established for that particular test.
The result survived additional controls, attacks or competing explanations beyond the minimum gate.
The capability was earned within a stated model class, range or set of conditions.
The proposed mechanism or capability failed its defined gate.
Separate ancestry sequences were developed for five broad classes of recognizable physical behavior. The closure status records a result inside the tested Core models, not an empirical replacement for the corresponding mature physical theories.
Relativity, gravity, thermodynamic/statistical behavior, quantum behavior and electromagnetic-like behavior each completed their bounded ancestry sequence while retaining failed intermediate mechanisms and unresolved questions.
The sequence developed finite signal speed, frame-independent causal structure, Lorentz-like relationships, relativistic conservation compatibility, rest-state invariance, mass-like inertia and a massless-like excitation branch.
The ancestry progressed from content-dependent geometry and geometry-guided motion through backreaction, weak-field falloff, approximately universal free motion, clock-rate shifts, redshift-like transfer, signal deflection, orbital behavior, geometry waves, radiation reaction and moving-source effects.
Multiplicity, entropy-like behavior, statistical directionality, temperature-like equilibrium, heat/work distinction, free-energy-like behavior, canonical-like distributions, fluctuation response and bounded thermalization were developed through the sequence.
The sequence tested interference-like probability, a Born-like quadratic rule, noncommuting-observable-like structure, Bell-type nonclassical correlations, indistinguishability and exchange, rotational topology, field-like excitation and decoherence-like classicalization.
A signed conserved source, sign-sensitive field response, source-probe interaction, inverse-square-like scaling, magnetic-like structure, induction, displacement-like response, transverse propagation, photon-like excitation, gauge-like redundancy and field energy transfer were progressively tested.
A later successful pathway does not rewrite an earlier failure. When a capability is eventually recovered through deeper ancestry, both events remain in the ledger.
Direct attraction/repulsion as an immediately available particle property did not cross its gate.
The early ancestry was insufficient to force a full spin-statistics connection.
Richer rotational topology still did not independently force the complete connection at this stage.
Once the ancestry had developed into a sufficiently rich local relativistic field-like regime, the connection became supportable within the tested model.
Decoherence-like classicalization was supported, but the stronger requirement that the model independently select one unique measurement outcome was not earned.
Recent transformation history did not explain the missing directional-dependence information. Final-state microstructure was substantially more informative.
These gates record several major transitions in the main emergence ancestry. The labels are intentionally primitive: resemblance to a particle, atom or molecule does not establish identity with the corresponding physical object in nature.
A bounded localized state with persistent identity-like behavior crossed the primitive particle-like gate.
The census retained identity, characteristic scale, internal timescale, propagation, interaction response, provisional inertia-like response, state-dependent boundary and discreteness.
Stable higher organization emerged using the frozen particle-like ancestry without forcing known atomic architecture.
Multiple previously earned bound units formed a stable higher-order organization without inserting a mature molecular model.
Extended organization and bulk-like structural behavior crossed the material-like gate.
Later tests reached distributed memory, reconstruction, prediction, adaptive updating, primitive learning-like behavior, agency-like organization and recursive individuality.
Compression is maintained as a separate research branch. The effective traversal values below describe relational-path compression inside tested toy networks. They are not measured spacecraft speeds and do not represent local motion faster than the model's limiting propagation speed.
The tested unassisted QG compression branch reached an effective native ceiling of approximately 1616c while retaining local propagation at or below c.
In the QG-L1/L2 lateral-assistance tests, approximately 500 assistance units corresponded to an effective traversal factor near 2080c in the toy model.
The tested lateral-assistance branch showed a threshold near 407 model units before the higher effective compression regime became available.
In this research, effective superluminal traversal refers to relational-path compression. The intended interpretation is that the effective route between origin and destination becomes shorter inside the model while local propagation remains at or below the limiting speed.
Core's computational and conceptual gates test whether proposed capabilities can arise from permitted ancestry inside the models. That is a different question from whether the same structures operate in the physical universe.
Mature-enough Core results should be frozen before comparison with established physical theory, measured constants, laboratory results and astronomical observations. Agreement should not be manufactured afterward by adjusting the model simply to reproduce the known answer.
A successful correspondence test would strengthen a model's physical relevance. A disagreement would be equally important: it would identify where the ancestry or its physical interpretation fails.
The results on this page belong to the Core research program and its tested conceptual or computational models. Terms such as particle-like, atom-like, gravity-like, quantum-like and electromagnetic-like identify structural resemblance or ancestry targets inside those models.
They do not by themselves establish new particles, new forces, a physical faster-than-light propulsion system, or a verified replacement for established physics.
The purpose of the ledger is narrower: preserve what was actually tested, what survived, what failed, what remains bounded, and what must be tested next.