HIOF • Relation — Paper 0: Overview: Position, Dependency Structure, and Terminology

Holographic Information Ontological Framework: Relation (HIOF-Rel) Correlation, Records, and the Limits of Readability HIOF-Rel is a seven-paper conceptual series, comprising Paper 0 and Papers I to VI, for readers in philosophy of physics, quantum foundations, information theory, and ontology. Its central task is to clarify correlation: how apparently separate things remain connected, how parts become identifiable, and how a correlated world becomes readable to observers who are themselves part of it. The core idea HIOF describes the correlated whole as an information ocean and relatively stable objects and records as textures within it. These are different descriptive levels of one world, not two separate substances. A readable texture does not exhaust the whole from which it arises. Losing access to a record does not mean that information or correlation has disappeared. Relation is not one thing The series separates logical relation, relational property, statistical correlation, causal influence, signalling channel, and ontological dependence. These meanings can overlap, but they are not interchangeable. In particular, correlation does not by itself provide a controllable channel for communication, and the absence of such a channel does not establish the absence of correlation. General relation retains its ordinary breadth. A narrower term, transactional relation, identifies interactions whose compatible records can be kept, read, or exchanged by both parties. This distinction does not imply that electrons or other systems without such ledgers have no relations. Strong and weak correlation The ocean and texture picture provides the broad conceptual vocabulary. In technical quantum discussions, strong and weak correlation are distinguished through inseparability and separability under a specified partition. Correlation type is not determined by numerical strength alone. Separability, classicality, broadcastability, and monogamy are treated separately, while multipartite examples show why pairwise correlations cannot represent every property of a whole. Parts, objects, and internal observers The series asks what makes something count as a part before treating it as an independent object. Observable-induced partitions provide a physical reference for this question. Objecthood is then characterised through stable organisation and continued identifiability, rather than complete isolation from the environment. An observer is an internal participant, not a reader outside the world. This position does not depend on whether a quantum interpretation assigns consciousness a role in collapse. HIOF's language of consciousness as the manifestation of being online is distinguished from the narrower operational characterisation of self-recording. Records, ledgers, and time A record is a distinguishable trace maintained under stated conditions. Redundancy allows several parties to access compatible information, but stability also requires suitable dynamics and preservation. A ledger organises records and their dependencies. Historical occurrence, the persistence of a physical carrier, and dynamical reversibility are kept distinct. Time is explored as a reading of ledger order; physical duration, clock calibration, and spacetime geometry require further structure. The arc window The arc window names the finite reach of observation across time, space, scale, and accessible operations. Physics remains effective within its domain without thereby exhausting the universe. The series asserts neither the existence nor the non-existence of superluminal or fully static structure beyond that reach. Limited access does not license arbitrary claims about what cannot be read. Black holes and the limits of readability Within HIOF, black holes play the role of unbinding existing textures and recoding informational correlation, allowing information to enter other forms of organisation. This ontological role is distinguished from its detailed physical implementation. Exterior unreadability is not automatically equated with the absence of interior records, matter, or time. Method and scope Each paper separates ontological positions, conceptual definitions, and established physical results. The series introduces no new physical dynamics and does not claim to have unified quantum mechanics and general relativity. Its contribution is to clarify distinctions, expose unsupported inferences, and identify what further modelling would need to establish. Keywords: correlation, relation, readability, records, ledger, arc window, objecthood, conceptual engineering, entanglement, Bell inequalities, quantum Darwinism, black-hole information, philosophy of physics AuthorWai-Hung Tam (Pan), Independent ResearcherORCID: 0009-0002-7789-8464Email: [email protected]