HIOF • Quantum Correlation — Paper I-IV Readability: Records, Ledgers, Objects, Observers, and Manifestation

Holographic Information Ontological Framework: Quantum Correlation (HIOF•QC) A Window Reading of Correlation, Records, and Readability This is a short, non-technical companion to the HIOF•QC series. It is written for readers in physics, philosophy of science, or quantum information, not for readers already familiar with the author’s wider framework. The core idea, stated plainly Correlation is treated as the joint structure of a whole that cannot be fixed by the marginal descriptions of its parts. The readable world is a relatively stable texture organised upon a correlational whole. Readability can fail without the disappearance of correlation. The series supplies a shared language for these distinctions. It does not claim to have unified quantum mechanics and general relativity, nor does it assert structures outside the finite range of human observation and description (the arc window). Why the word keeps causing trouble “Relation” is used in at least six senses: logical relation, relational property, statistical correlation, causal influence, signalling channel, and ontological dependence. These senses are often bound together in ordinary language, but Bell-type results and the no-signalling condition show that statistical correlation, local causal factorisation, and controllable signalling must be kept separate. Treating “not currently readable” as “absent” is another common conflation. The series keeps these apart. Strong and weak correlation Strong correlation is the information ocean of the whole: inseparable, belonging to no part. Weak correlation is a texture organised upon it that can be shared or held. Separable and inseparable states are the technical projection of this image onto quantum systems under a specified partition. The two are different descriptive levels of the same whole, not two kinds of thing. Correlation is not pairwise: the whole can be inseparable while every pair is separable. Records, ledgers, and time A record is a trace carried by a physical carrier that is maintained within a specified time window and error tolerance. A ledger is the structure of records and their dependencies; its order is a partial order only when the dependency relation has no directed cycles. Time is read as the shadow of the ledger: the order supplies direction, while rate and metric require further structure. Irreversibility is split into three layers (historical, carrier, and dynamical). Objects and record-based observers are defined only after records and ledgers exist. Loss of readability is not disappearance For typical pure states a small subsystem is nearly maximally mixed, showing that local mixture and global correlation can coexist. Schema Φ is retained as a conceptual schema of the competition between record maintenance and loss of readability, not as an established universal threshold. The anomalous realm marks the limit of a specified ledger description. In this framework black holes undertake the role of unbinding local textures and recoding correlation; this is an authorial position, not a theorem of cosmic necessity. What the series covers QC I (conceptual foundation):Paper I-0: position, dependency structure, and terminologyPaper I-I: why “relation” needs clarifying – six senses, three risks, arc windowPaper I-II: information and correlation – primitive terms, ocean–texture picturePaper I-III: relata – partition and the identification of partsPaper I-IV: readability – records, ledgers, objects, observers, transactional relationPaper I-V: concealment – apparent randomness, schema Φ, black-hole rolePaper I-VI: acceptance and hand-off – conceptual audit and open questions QC II (applications):Paper II-I: black holes as correlation-recoding processorsPaper II-II: primordial black holes, power spectrum, and mass functionPaper II-III: observational signatures and falsifiabilityPaper II-IV: inflation and expansion – an information-theoretic restatement Keywords: correlation, records, readability, conceptual engineering, arc window, strong correlation, weak correlation, ledger, transactional relation, de-accounting, black holes, primordial black holes, falsifiability, philosophy of physics AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: [email protected]