| _version_ | 1866901979344666624 |
|---|---|
| author | Dai, ChuanJie |
| author_facet | Dai, ChuanJie |
| contents | <div>This paper proposes a conceptual-theoretical account of the cosmic noise floor within the</div> <div>PAC–µ 8 framework. The central thesis is that the noise floor should not be treated solely</div> <div>as an external random background or as a contingent defect of instrumentation. Instead,</div> <div>it is modeled as an irreducible residual generated whenever world-process is transformed</div> <div>into record and subsequently into certifiable invariant structure under finite observational</div> <div>protocols. The formal architecture consists of four ingredients: a positive world-generator,</div> <div>boundary-restricted access, lossy compression, and nontrivial audit or certification. Within</div> <div>this setting, the noise floor is defined as the component of the recorded structure that</div> <div>fails to enter the invariant-certified subspace. A decomposition into boundary, window,</div> <div>compression, audit, and cross contributions is introduced. The commutator [K, Πedge], where</div> <div>K is the positive generator and Πedge is the observational boundary projector, is identified as</div> <div>a basic measure of boundary-induced residual generation. We prove a nonzero-floor theorem</div> <div>for generic finite protocols, formulate a noise migration law under protocol refinement, and</div> <div>establish that zero residual is incompatible with finite nontrivial certification in the generic</div> <div>case. A toy modal model illustrates the mechanism explicitly. The resulting picture reframes</div> <div>the cosmic noise floor as a structural consequence of finite knowability in a process-structured</div> <div>universe</div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19521050 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Finite Protocols, Certification, and the Cosmic NoiseFloorin the PAC–µ8 Framework Dai, ChuanJie <div>This paper proposes a conceptual-theoretical account of the cosmic noise floor within the</div> <div>PAC–µ 8 framework. The central thesis is that the noise floor should not be treated solely</div> <div>as an external random background or as a contingent defect of instrumentation. Instead,</div> <div>it is modeled as an irreducible residual generated whenever world-process is transformed</div> <div>into record and subsequently into certifiable invariant structure under finite observational</div> <div>protocols. The formal architecture consists of four ingredients: a positive world-generator,</div> <div>boundary-restricted access, lossy compression, and nontrivial audit or certification. Within</div> <div>this setting, the noise floor is defined as the component of the recorded structure that</div> <div>fails to enter the invariant-certified subspace. A decomposition into boundary, window,</div> <div>compression, audit, and cross contributions is introduced. The commutator [K, Πedge], where</div> <div>K is the positive generator and Πedge is the observational boundary projector, is identified as</div> <div>a basic measure of boundary-induced residual generation. We prove a nonzero-floor theorem</div> <div>for generic finite protocols, formulate a noise migration law under protocol refinement, and</div> <div>establish that zero residual is incompatible with finite nontrivial certification in the generic</div> <div>case. A toy modal model illustrates the mechanism explicitly. The resulting picture reframes</div> <div>the cosmic noise floor as a structural consequence of finite knowability in a process-structured</div> <div>universe</div> |
| title | Finite Protocols, Certification, and the Cosmic NoiseFloorin the PAC–µ8 Framework |
| url | https://doi.org/10.5281/zenodo.19521050 |