The Reactive Universe Conjecture

Reactive Universe Marco Gaspari October 2025 The Reactive Universe Conjecture (RUC) Gaspari October 20, 2025 Abstract We propose the Reactive Universe Conjecture (RUC): black holes do not terminate in inaccessible singularities but in topological channels of spacetime that converge toward a unique global white hole domain coinciding with the Big Bang, yet in a distinct temporal coordinate. In this framework, matter and entropy accreted by present-day black holes feed the explosion of the past, establishing a continuous, non-cyclic reactive loop that dynamically links different epochs. Corollary hypotheses: (i) cosmic acceleration reflects a non-local energetic feedback from the exit domain; (ii) part of the dark matter/energy budget represents the effective signature of such feedback projected into our epoch. We further extend the conjecture by introducing a quantum reactive level, where spacetime foam continuously generates non-repetitive events, ensuring an entropically consistent regeneration of the universe. We discuss postulates, qualitative coherence with GR and black hole thermodynamics, and propose falsifiable observational predictions (gravitational-wave echoes, H– ˙ M correlations, CMB anomalies, non-thermal neutrino-photonic backgrounds) useful to discriminate RUC from ΛCDM and CCC models. 1 Introduction and Motivation The standard ΛCDM cosmology successfully explains many observations but leaves open questions: the ultimate origin of the Big Bang, the nature of dark energy/matter, and the fate of information in black holes. The RUC arises as a linking hypothesis: black holes act as topological gateways transferring energy–information content toward an exit domain identifiable with our universe’s initial conditions. This transfer is not globally periodic or cyclic but reactive, locally driven by accretion dynamics and globally continuous. 1.1 Central Idea The matter/energy falling into black holes at late epochs is expelled (decoherently and analogically reformatted) into the exit domain—the Big Bang—in a distinct temporal coordinate τ; all channels converge to a single exit event, maintaining causal consistency via a global topological mapping. 2 Postulates of the RUC •P1. Global Topological Connectivity (GTC). Each event horizon realizes a topological stitching Cconnecting it to a common exit domain Dout. •P2. Reactive Spacetime Mapping (RSM). A map Φ : (M, t)→(Dout, τ) transmits mass/energy/entropy fluxes ( ˙ M, ˙ E, ˙ S) through Cinto corresponding primordial fluxes ˙ρBB(τ). •P3. Extended Conservation. Energy and information are globally conserved on (M∪Dout), despite apparent local losses (e.g., Hawking radiation). •P4. Cosmological Feedback. Variations in ˙ MBH(t) weakly modulate effective parameters of the late epoch (e.g., H(t)) through small couplings ϵ≪1. •P5. Unique Exit Domain. All channels converge topologically into a single Dout—the Big Bang itself. •P6. Quantum Reactive Foam (QRF). Local metric fluctuations continuously regenerate spacetime events in a non-repetitive, entropically consistent process, maintaining global information conservation while ensuring irreversible local evolution. 1 3 Conceptual Framework Horizons act as spacetime lacerations stitched toward Dout. Unlike cyclic models, the RUC envisions a continuous reactive feed-through: the more mass falls into black holes today, the more intense (statistically) is the primordial source output. The QRF level implies a quantum–entropic “boiling” of spacetime that keeps the universe informationally coherent yet never repetitive. 4 Qualitative Coherence with GR and Thermodynamics The RUC does not violate cosmic censorship; the stitching occurs behind the horizon. The extended entropy Stot =Sext +SBH +SDout remains non-decreasing, ensuring global compliance with the second law while resolving the information paradox through non-local conservation. 5 Effective Parameterization JBH(t) = X i αi˙ Mi(t),(1) (2) ˙ρBB(τ)=κK[JBH](τ),(3) (4) H2(t) = H2 ΛCDM(t)+ϵF[JBH](t),(5) (6) ρDM,eff (t) = ρDM,true(t)+ηG[JBH](t).(7) 6 Predictions and Observational Signatures 1. Gravitational-wave post-merger echoes in BH–BH coalescences. 2. Correlations between H(z) deviations and cosmic BH accretion rates. 3. Large-angle CMB asymmetries and weak non-Gaussianities. 4. Non-thermal neutrino or photon backgrounds (∆Neff >0). 5. Weak-lensing and ISW distortions correlated with quasar activity history. 7 Relation to Existing Models The RUC recovers ΛCDM in the limit ϵ, η →0, differs from bouncing or CCC cosmologies by its noncyclic, reactive nature, and introduces a unique global white-hole exit domain. 8 Conclusions The Reactive Universe Conjecture links black holes and the Big Bang through convergent topological channels, establishing a continuous, non-cyclic reactive loop. The additional Quantum Reactive Foam postulate introduces a microscopic, entropically consistent regeneration of spacetime, aligning with both thermodynamic and informational principles. The model is parametrically effective and yields testable observational signatures. Acknowledgments The author thanks readers for constructive criticism. Errors and omissions remain the author’s responsibility. 2 References [1] C. Rovelli, F. Vidotto, Planck stars, Int. J. Mod. Phys. D 23, 12 (2014). [2] R. Penrose, Cycles of Time: An Extraordinary New View of the Universe, Bodley Head (2010). [3] S. Hawking, Particle creation by black holes, Commun. Math. Phys. 43, 199–220 (1975). [4] S. Carroll, Spacetime and Geometry, Cambridge Univ. Press (2022). 3