Vacuum Oscillator Φ-Field (VOΦF): a unified framework for spacetime, gravity, dark sectors, black holes and quantum phenomena

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Authors: Patryk Rosa
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Abstract

Abstract We propose the Vacuum Oscillator Φ-Field (VOΦF) as an ontological and effective framework in which the observable Universe is described as a phase-locked oscillatory domain of a deeper vacuum field Φ. In this picture, cosmogenesis is interpreted as a lock-in transition of vacuum phase coherence that instantiates a physical notion of time, while spacetime geometry and gravitation emerge as effective descriptions of coarse-grained vacuum states rather than fundamental background structures. The central organising quantity is the local vacuum oscillation frequency ω_Φ(x), interpreted operationally as a physical vacuum clock. Its phase accumulation defines proper time along worldlines, and—when an appropriate weak-field identification between ω_Φ(x) and the Newtonian potential Φ_N(x) is enforced—one recovers standard gravitational time dilation and the Newtonian limit of gravity to leading order. Spacetime geometry is treated as a functional g_{\mu\nu}[⟨Φ⟩,∂⟨Φ⟩] of coarse-grained vacuum state variables, with general relativity appearing as the effective dynamical description in empirically validated regimes. Within this ontology, dark matter is identified with massive, weakly coupled excitations in hidden sectors Φ_{dark,i}, while dark energy corresponds to the coarse-grained background vacuum energy density encoded in an effective potential V_{eff}(⟨Φ⟩). Black holes are interpreted as regions of Φ-collapse in which the operational vacuum clock degenerates (ω_Φ→0 in an effective description) and propagating excitations cease to be supported, while the tested exterior Kerr phenomenology is retained. Standard quantum phenomena—superposition, interference, measurement/decoherence, and entanglement—are embedded into a single-carrier picture as excitation patterns of Φ and their environment-induced decoherence, without modifying the Hilbert-space formalism of quantum field theory. VOΦF is designed to be falsifiable and motivates a three-axis empirical programme: (i) cosmological probes of vacuum and dark-sector dynamics through H(z), H₀, S₈, and the matter power spectrum P(k), subject to early-Universe constraints; (ii) strong-field astrophysical tests via black-hole imaging and gravitational-wave propagation/ringdown; and (iii) local precision searches for residual anomalies in vacuum timekeeping and phase accumulation using clock networks and interferometers, with electromagnetic channels (including ELF/ULF bands) treated conservatively via bounded effective operators.

Fields of Study & Subjects

Cosmology and Gravitation Theories Noncommutative and Quantum Gravity Theories Relativity and Gravitational Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026
Document type
Preprint