Cosmic Broth Cosmology A Unified Response Framework for Vacuum Dynamics Cosmology and Directed Geometry

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Authors: Marco Cacci
Cited by: 0

Abstract

A New Framework Reinterprets the Cosmological Constant as a Dynamical Equilibrium State A new theoretical study proposes a reinterpretation of the cosmological constant — the parameter responsible for the accelerated expansion of the universe — as the equilibrium configuration of a dynamical vacuum response sector. The work introduces the Scalar Vacuum Substrate Theory, a minimal effective field theory framework that preserves General Relativity while allowing controlled departures from strict cosmological equilibrium. The results are presented as part of the ongoing Cosmic Broth Cosmology research program. Background The standard ΛCDM model successfully describes the large-scale structure and expansion history of the universe using a cosmological constant (Λ) that represents a uniform vacuum energy density. While observationally successful, Λ is traditionally treated as a fixed parameter rather than the outcome of an underlying dynamical process. The new framework proposes that Λ may instead correspond to the equilibrium state of a scalar vacuum response field. In this interpretation, the cosmological constant is not imposed but selected by relaxation dynamics. Importantly, the theory does not modify the tensor structure of gravity. The Einstein–Hilbert action remains unchanged, and gravitational waves propagate at the speed predicted by General Relativity. A Restricted and Testable Structure All deviations from ΛCDM are governed by a single dimensionless parameter — the Substrate Response Index — which quantifies how far the vacuum is from equilibrium. The framework is deliberately constrained: If the response index is zero, the model reduces exactly to ΛCDM. If the response exceeds a narrow range, the effective field theory description breaks down. Only within a small, observationally accessible corridor can measurable deviations occur. This design ensures that the theory is falsifiable and does not rely on functional freedom or adjustable modifications to gravity. Observational Implications Within its viable regime, the theory predicts: Percent-level modifications to cosmic structure growth, Small but correlated changes in gravitational lensing, Mild scale-dependent effects in matter clustering. These deviations fall within the sensitivity range of next-generation surveys such as Euclid, LSST, and DESI. At the same time, the model makes a clear commitment: gravitational waves must remain luminal. Any confirmed deviation in gravitational-wave propagation would exclude the minimal formulation. Scope and Limitations The Scalar Vacuum Substrate Theory does not claim to resolve the cosmological constant problem at the microscopic level. It does not introduce new gravitational degrees of freedom, nor does it propose a ultraviolet completion. Instead, it provides a unified regime-based description of vacuum dynamics, clarifying: The equilibrium limit corresponding to ΛCDM, The structure of small departures from equilibrium, The internal stability and radiative consistency conditions, The explicit failure modes under which the framework would be excluded. Scientific Significance By embedding ΛCDM as a special equilibrium case within a broader response structure, the framework reframes vacuum energy as a dynamical outcome rather than a fixed input parameter. If future high-precision cosmological observations detect small, coherent deviations from ΛCDM while preserving General Relativity’s tensor sector, the Scalar Vacuum Substrate framework offers a structured language for interpreting those results. If no deviations are found, the theory reduces consistently to the standard cosmological model without contradiction. The study emphasizes restriction rather than expansion: it defines a narrow, testable domain in which vacuum response can operate — and specifies the conditions under which the framework fails.

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
27 February 2026
Language
EN