We introduce a framework in which spacetime locality and geometric causal structure are not assumed as fundamental, but instead emerge conditionally from quantum dynamics under restricted observational access. We define depth as a restriction on the set of observables accessible to an observer and show that, un- der appropriate conditions of redundancy and decoherence, effective locality and finite propagation speed arise from intrinsically nonlocal quantum systems. Con- versely, locality degrades when these conditions fail. Using simple toy models, we demonstrate threshold behavior separating regimes with and without stable causal structure. This approach reframes spacetime geometry as an emergent description rather than a primitive input, while remaining compatible with standard quantum mechanics and general relativity within their respective domains of validity.
We introduce a framework in which spacetime locality and geometric causal structure are not assumed as fundamental, but instead emerge conditionally from quantum dynamics under restricted observational access. We define depth as a restriction on the set of observables accessible to an observer and show that, un- der appropriate conditions of redundancy and decoherence, effective locality and finite propagation speed arise from intrinsically nonlocal quantum systems. Con- versely, locality degrades when these conditions fail. Using simple toy models, we demonstrate threshold behavior separating regimes with and without stable causal structure. This approach reframes spacetime geometry as an emergent description rather than a primitive input, while remaining compatible with standard quantum mechanics and general relativity within their respective domains of validity.
Spacetime is not a fundamental arena but a representational interface that becomes valid only when a quantum state's internal relational structure satisfies specific conditions. This work synthesizes established results from quantum foundations, decoherence theory, and emergent spacetime research into a coherent ontology identifying when a wavefunction "licenses" a spacetime description. Three structural conditions must be jointly satisfied: (1) entanglement is sufficiently structured to support connected geometry; (2) entanglement is not so dense as to erase locality through volume-law scrambling; and (3) decoherence suppresses phase relationships enough to produce WKB-stable classical histories. A fourth structural condition: the Higgs field's vacuum expectation value, sets the classical mass spectrum and stabilizes decoherence. When all conditions hold, a subsystem is forced into a classical mode of representation characterized by locality, geometry, causal order, and sequential time. The Big Bang is reframed as the relational event at which these conditions were first satisfied, rather than a temporal origin. The rendering model is then extended to examine cosmological parameters as interface requirements, classical end-time scenarios as failures of the interface (not the substrate), and the metaphysical implications of a universe whose deepest ontology is non-geometric, nonlocal, and non-temporal. Drawing on philosophical traditions from Plato to Bergson alongside modern quantum gravity, the paper concludes that reality is correlation: spacetime is the classical world's shadow of a deeper relational whole, and the wavefunction is the universe.
We present an emergent account of quantum theory based on a minimal correlational framework in which no fundamental states, dynamics, or probabilistic axioms are assumed. Quantum behavior arises from admissible decoherent projections that induce equivalence classes of correlational configurations and suppress relational phase information. Effective quantum states are identified with these equivalence classes, while probability emerges as a normalized structural measure over them. The Born rule is recovered as a consistency condition associated with linear representations of equivalence classes, and measurement is reinterpreted as a structural interaction defined by projection rather than as a physical collapse. Decoherence, probability, and classicality are unified as manifestations of restricted access to correlational information stabilized by persistence. Quantum theory is thereby situated as an emergent, regime-dependent description alongside propagation and gravitation, resolving its conceptual puzzles by demoting its formal elements from fundamental postulates to effective constructs.
Quantum Informational Geometrodynamics (QI-G) treats spacetime, matter, and interactions as emergent structures of a discrete causal network carrying quantum information. This paper investigates whether a multiplicity of effectively autonomous realities can arise within QI-G without postulating a fundamental multiverse. We formulate a kinematic space permitting superpositions of causal-network configurations, introduce coarse-grained causal histories and their decoherence functional, and define an informational causal branch through three jointly necessary conditions: suppressed interference, stable causal records, and approximate dynamical autonomy. Each branch may admit its own coarse-grained Lorentzian geometry and intrinsic causal time, so that no external simultaneity relation between branches is required. An exact sector-decomposition result is established for block-diagonal dynamics. A redundant-record model further yields the suppression law η_N = ∏_{j=1}^{N}|r_j| and the threshold ∑_j[-ln|r_j|] ≥ ln(ε^{-1}) for effective branching at tolerance ε. We also propose, as a testable but presently unproved QI-G-specific ansatz, that the decoherence rate is controlled by an informational separation functional combining quantum Jensen–Shannon divergence, causal-structure mismatch, and emergent-curvature mismatch. The resulting framework supports emergent effective multiversality but does not establish a literal or empirically distinct multiverse. Such a conclusion would require a derivation of branch-selection scales, probabilities, and residual recoherence directly from the QI-G action.
Quantum entanglement is a fundamental feature of quantum mechanics whose underlying physical interpretation remains an active topic of research. In this work, we develop a geometric framework in which physical states are defined on a higher-dimensional manifold, while observable states arise from a coherent projection onto spacetime. We show that this projection acts as a non-injective mapping on the underlying state space, generically transforming separable higher-dimensional states into non-factorizable states in the observable domain. Within this construction, quantum correlations emerge as a consequence of interference along a compact dimension. Under conditions of phase coherence, the standard quantum predictions are recovered. More generally, incomplete phase cancellation leads to a well-defined deviation from the usual correlation structure, introducing an additional angular dependence beyond the relative measurement settings. The framework is fully compatible with the standard quantum formalism at the effective level, while extending it through experimentally testable predictions. Moreover, the presence of such additional angular contributions provides a potential signature of projection-induced effects. These results suggest that quantum entanglement may be interpreted as an emergent phenomenon associated with geometric projection, in which effective nonlocal behavior arises from dimensional reduction.
ENG: This work explores whether the foundational difficulties of quantum theory originate not from incomplete dynamics, but from insufficiently constrained notions of local description. This work develops a structural framework for quantum theory based on constraints on admissible local descriptions rather than on modified dynamics or additional physical laws.Starting from a global quantum state defined on a C∗^*∗-algebra of observables, we introduce the space of factorizations as possible local descriptions and define a structural cost functional measuring their non-separability. A principle of structural stability is proposed: physically persistent descriptions correspond to (local) minima of the cost functional. Under general assumptions—nullity on separable states, invariance under local automorphisms, additivity for independent systems, and local regularity—the cost is shown to be uniquely characterized (up to a constant) by algebraic mutual information. The framework provides a unified structural account of quantum probability, effective collapse, irreversibility, and the emergence of classicality, without violating global unitarity. Geometric structures arise naturally from the second variation of the cost on the space of factorizations, while time and causality appear as effective notions associated with sequences of stable descriptions. The approach does not assume spacetime, locality, or causality as primitives, and clarifies the domains where local descriptions fail, including regimes with infinite entanglement or algebraic type III structures. The work positions structural constraints as a foundational layer underlying quantum mechanics and emergent geometry, while explicitly identifying its mathematical limits and open problems. ITA: Questo lavoro esplora se le difficoltà fondamentali della teoria quantistica non derivano da dinamiche incomplete, ma da nozioni di descrizione locale non sufficientemente vincolate. Questo lavoro sviluppa un quadro strutturale per la teoria quantistica basata su vincoli su descrizioni locali ammissibili piuttosto che su dinamiche modificate o leggi fisiche aggiuntive. Partendo da uno stato quantistico globale definito su un C ∗ ^* ∗ -algebra degli osservabili, introduciamo lo spazio delle fattorizzazioni come possibili descrizioni locali e definiamo un funzionale di costo strutturale che misura la loro non separabilità. Viene proposto un principio di stabilità strutturale: le descrizioni fisicamente persistenti corrispondono ai minimi (locali) del funzionale di costo. Sotto ipotesi generali – nullità su stati separabili, invarianza per automorfismi locali, additività per sistemi indipendenti e regolarità locale – si dimostra che il costo è caratterizzato in modo univoco (a meno di una costante) da informazione mutua algebrica. Il quadro fornisce una spiegazione strutturale unificata della probabilità quantistica, del collasso effettivo, dell'irreversibilità e dell'emergere della classicità, senza violare l'unitarietà globale. Le strutture geometriche emergono naturalmente dalla seconda variazione del costo sullo spazio delle fattorizzazioni, mentre tempo e causalità appaiono come nozioni effettive associarsi a sequenze di descrizioni stabili. L'approccio non presuppone che spaziotempo, località o causalità siano primitivi e chiarisce i domini in cui le descrizioni locali falliscono, inclusi i regimi con entanglement infinito o strutture algebriche di tipo III. Il lavoro posiziona i vincoli strutturali come uno strato fondamentale alla base della meccanica quantistica e della geometria emergente, identificandone esplicitamente i limiti matematici ei problemi aperti.
We develop a pre-geometric reconstruction framework in which quantum mechanics, entanglement structure, gauge symmetry, locality, Lorentzian spacetime geometry, gravitation, and physical constants emerge from recursively stabilized coherent Hilbert-relational organization. The framework begins from a primitive coherent substrate consisting of compositional accessibility relations and complex transport amplitudes. No background spacetime manifold, metric geometry, or particle ontology is assumed fundamentally. The central proposal is that coherent Hilbert structure is more fundamental than spacetime geometry. Observable spacetime emerges through projection stabilization: a physical stability-selection mechanism dynamically selecting recursively stable coherent sectors from deeper relational structure. Quantum mechanics emerges from norm-preserving coherent transport. Entanglement emerges from nonfactorizable relational closure. Gauge symmetry emerges as redundancy of coherent transport representation. Classicality emerges through decoherence and stability selection. Lorentzian geometry emerges statistically from projected accessibility organization. Gravitation emerges thermodynamically as equilibrium relaxation of projected geometry. The framework is presented not as a completed unified theory, but as a reconstruction program aimed at explaining why physical reality organizes itself through Hilbert structure, gauge redundancy, locality, spacetime geometry, and thermodynamic gravitational dynamics.