Causal Holographic Information

Headrick, Matthew, Hubeny, Veronika E., Lawrence, Albion +1 more

Oded Shor, Felix Benninger, Andrei Yu. Khrennikov

This paper is devoted to event-observational modelling in physics and more generally natural science. The basic entities of such modelling are events and where space-time is the secondary structure for the representation of events. The novelty of our approach is in using a new mathematical picture of events universe. The events observed by an observer are described by a dendrogram, a finite tree. The event dynamics are realized in the dendrogramic configuration space. In a dendrogram, all events are intercoupled via the hierarchic relational structure of the tree. This approach is called Dendrogramic Holographic Theory (DHT). We introduce the causal structure on the dendrogramic space, like the causal structure on the Minkowski space-time. In contrast to the latter, DHT-emergent causality is of a statistical nature. Each dendrogram represents an ensemble of observers with the same relational tree representation of the events they measured/collected. Technically the essence of causal modelling is in encoding dendrograms by real parameters and in this way transitioning to the real space-time. Then we proceed in the framework of information geometry corresponding to Hellinger distance and introduce a kind of light cone in the space of dendrograms. This is a step towards the development of DHT-analog special relativity.

Andrea Allais, Erik Tonni C

Л.М. Сороко

Wai-Hung (Pan) Tam

Holographic Information Ontology Framework (HIOF) — Spirit-Diagram Theorem · Emergence Equation Series (OTE·ME) Overview The Holographic Information Ontology Framework (HIOF) — Spirit-Diagram Theorem, Emergence Equation Series(abbreviated OTE·ME, from the Chinese 靈圖定理—顯現方程) is an eleven-paper theoretical series that reconstructs physical cosmology, decoherence, and cosmic-scale dynamics on an informational rather than a purely material substrate. The series replaces the classical spacetime block with the subjective information unit as its basic ontological primitive, and formalises the resulting dynamics through three coupled variables — entanglement (E), relational structure (R), and the field medium (ϕF) — governed by a unified transaction–recognition operator. The series begins from a methodological argument for observation-boundedness and the principle of simplest cause (Paper 0), develops the formal mathematical and geometric apparatus of the framework (Papers 1–2), applies it to reinterpret quantum decoherence, matter, and the two historical "clouds" of classical physics (Papers 3–5), extends it to cosmological closure and cross-scale singularity dynamics (Paper 6), positions it against competing research programmes such as causal set theory and the Page–Wootters mechanism (Paper 7), and derives concrete, falsifiable predictions (Paper 8). Paper 9 develops white-hole information re-injection as a mechanism for effective cosmic expansion. Paper 10, added subsequently to the original nine-paper arc, supplies the series' axiomatic foundation for consciousness and consensus — the Observation Postulate and the Panexperiential Postulate — resolving the problem of other minds and the combination problem within the framework's own transactional vocabulary. Series Structure Paper Title Core Content 0 Observation-Boundedness and the Simplest Cause Verification paradox; simplicity as inference to the best explanation; methodological foundation 1 From the Block to Information Subjective information unit; E, R, ϕF; observation postulate; panexperientialism 2 The Nonlinear Information Manifold Formal geometrisation of E, R, ϕF; curvature as informational tension 3 Deconstructing Decoherence Decoherence as informational settlement 4 Beyond the Matter Barrier Matter as a boundary condition of information flow 5 Deconstructing the Two Clouds Classical clouds of physics reframed through HIOF 6 Singularity Decoupling and Cross-Scale Closure Cosmological closure; singularities as decoupling events 7 Theoretical Comparison and Framework Positioning HIOF vs. causal set theory, Page–Wootters mechanism 8 Verification and Testable Predictions Falsifiable predictions derived from HIOF 9 White-Hole Information Injection and Effective Cosmic Expansion Re-injection dynamics; expansion as informational output 10 The Observation Postulate and the Consensus Recognition Mechanism Axiomatic foundation of consciousness and consensus Keywords holographic information ontology; observation postulate; panexperientialism; decoherence; information manifold; causal ledger; cosmic information; consensus recognition; combination problem; transaction–recognition operator; theoretical cosmology Author Wai-Hung Tam (Pan)Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com Citation format Tam, W.-H. (Pan). (2026). Holographic Information Ontology Framework — Spirit-Diagram Theorem, Emergence Equation Series (Papers 0–10).

Wai-Hung (Pan) Tam

Holographic Information Ontology Framework (HIOF) — Spirit-Diagram Theorem · Emergence Equation Series (OTE·ME) Overview The Holographic Information Ontology Framework (HIOF) — Spirit-Diagram Theorem, Emergence Equation Series(abbreviated OTE·ME, from the Chinese 靈圖定理—顯現方程) is an eleven-paper theoretical series that reconstructs physical cosmology, decoherence, and cosmic-scale dynamics on an informational rather than a purely material substrate. The series replaces the classical spacetime block with the subjective information unit as its basic ontological primitive, and formalises the resulting dynamics through three coupled variables — entanglement (E), relational structure (R), and the field medium (ϕF) — governed by a unified transaction–recognition operator. The series begins from a methodological argument for observation-boundedness and the principle of simplest cause (Paper 0), develops the formal mathematical and geometric apparatus of the framework (Papers 1–2), applies it to reinterpret quantum decoherence, matter, and the two historical "clouds" of classical physics (Papers 3–5), extends it to cosmological closure and cross-scale singularity dynamics (Paper 6), positions it against competing research programmes such as causal set theory and the Page–Wootters mechanism (Paper 7), and derives concrete, falsifiable predictions (Paper 8). Paper 9 develops white-hole information re-injection as a mechanism for effective cosmic expansion. Paper 10, added subsequently to the original nine-paper arc, supplies the series' axiomatic foundation for consciousness and consensus — the Observation Postulate and the Panexperiential Postulate — resolving the problem of other minds and the combination problem within the framework's own transactional vocabulary. Series Structure Paper Title Core Content 0 Observation-Boundedness and the Simplest Cause Verification paradox; simplicity as inference to the best explanation; methodological foundation 1 From the Block to Information Subjective information unit; E, R, ϕF; observation postulate; panexperientialism 2 The Nonlinear Information Manifold Formal geometrisation of E, R, ϕF; curvature as informational tension 3 Deconstructing Decoherence Decoherence as informational settlement 4 Beyond the Matter Barrier Matter as a boundary condition of information flow 5 Deconstructing the Two Clouds Classical clouds of physics reframed through HIOF 6 Singularity Decoupling and Cross-Scale Closure Cosmological closure; singularities as decoupling events 7 Theoretical Comparison and Framework Positioning HIOF vs. causal set theory, Page–Wootters mechanism 8 Verification and Testable Predictions Falsifiable predictions derived from HIOF 9 White-Hole Information Injection and Effective Cosmic Expansion Re-injection dynamics; expansion as informational output 10 The Observation Postulate and the Consensus Recognition Mechanism Axiomatic foundation of consciousness and consensus Keywords holographic information ontology; observation postulate; panexperientialism; decoherence; information manifold; causal ledger; cosmic information; consensus recognition; combination problem; transaction–recognition operator; theoretical cosmology Author Wai-Hung Tam (Pan)Independent ResearcherORCID: 0009-0002-7789-8464Email: panxtam@protonmail.com Citation format Tam, W.-H. (Pan). (2026). Holographic Information Ontology Framework — Spirit-Diagram Theorem, Emergence Equation Series (Papers 0–10).