What Was Before the Big Bang in Grafov's Quantum Theory of Gravity: Eternal S^4 Cycles and Echoes of Previous Universes

What Was Before the Big Bang Title: What Was Before the Big Bang in Grafov's Quantum Theory of Gravity: Eternal S^4 Cycles and Echoes of Previous Universes Author: Yuri Grafov, independent physicist, inventor, Moscow, Russia Abstract The Big Bang is not the beginning. Grafov's Quantum Theory of Gravity (GQTG) reveals the Universe as an eternal 4-dimensional hypersphere S^4 undergoing an infinite sequence of contraction-expansion cycles with period T_cycle = 2.8 x 10^{11} years. There is no singular origin - the observed "Big Bang" is merely the bounce from contraction to expansion in the current cycle. Topology S^4 preserves information eternally through invariants (Euler characteristic x = 2, topological charge N = 1, total entropy S_total = 1.502 x 10^{88} k_B). Traces of previous cycles appear in CMB low-l suppression (C_2 = 216 ± 4 μΚ2), ringing modes (∆I = 2.718, amplitudes from last three cycles), and accumulated gravitational wave background (~18% from prior cycles). Final statement: "The Universe had no beginning and will have no end. It exists eternally as a 4-dimensional hypersphere S^4, rhythmically pulsating in an infinite sequence of cycles. Our observable Universe is just one act in an eternal cosmic symphony." Testable CMB-S4 (2027-2032), LISA (2034-2039), Euclid/JWST (2025-2031). Patent pending. 1. Introduction: Beyond the Illusion of a Beginning The standard Big Bang model describes the Universe emerging from a singularity at t = 0 an absolute beginning where physics breaks down. This raises profound questions: What caused the singularity? What, if anything, was "before"? GQTG provides a revolutionary answer: there was no beginning. The Universe is eternal, existing as a compact 4-dimensional hypersphere S^4 in an infinite sequence of oscillatory cycles. The observed expansion is simply the current phase following a smooth quantum bounce. This paper details the eternal cyclic mechanism, information preservation across cycles, observable echoes of previous universes, and precise testable predictions that challenge the foundational assumption of cosmic origin. 2. Eternal S^4 Topology and Infinite Oscillatory Cycles The Universe is a closed 4D hypersphere S^4 with no boundary, center, or edge - all points are equivalent. The scale factor evolves periodically: Cycle period: T_cycle approx 2.8 × 10^{11} years.- Maximum radius: a_max = 2.67 × 10^{26} m.- Minimum radius (bounce): a_min = 1.616 × 10^{-35] m.- Slow inter-cycle growth factor: = 1.05 Topology remains invariant across all cycles:Euler characteristic x(S^4) = 2 Betti numbers b_0 = 1, b_4 = 1 3. The Smooth Bounce and Cycle Transition Each cycle contracts to Planck density, followed by Ψ-field driven bounce (w_Ψ = - 1.5 ). Νο singularity-regular stationary solution at H = 0 4. Echoes of Previous Cycles in Cosmological Observations 4.1 Low-Multipole CMB Suppression.Low-l power reflects compression phase of previous cycle:C_2 = 216 ± 4 μK^2.C_3 = 1081 ± 8 μK^2.C_4 = 2270.5 ± 4 μK^2. 4.2 Ringing Modes as Multi-Cycle Resonance.Ringing modes are cumulative from last three cycles: - Current: 73%.- Previous (n-1): 22%- n-2: 5% Period: ∆I = 2.718 ± 0.003 (mathematical constant e) Amplitudes:∆C_I (l = 32) = 0.120 ± 0.002 μΚ2 ∆C_I (l = 59) = 0.042 ± 0.001 μΚ2 4.3 Accumulated Gravitational Wave Background.Stochastic GW from ~1000 previous cycles: Current cycle: Q_GW^({0}) (0.01 Hz) = 1.573 × 10^{-15}.Previous cycles: = 0.216 times current. Table 1: Multi-Cycle Contributions (on the PDF file) 5. Eternal Information PreservationInformation survives all cycles via: - Topological invariants: x = 2, Betti numbers, topological charge N = 1 - Thermodynamic: S_total = 1.502 × 10^{88} k_B - Information capacity: l = 2.157 × 10^{88} bits Table 2: Eternal Invariants (on the PDF file) 6. Unique Testable Predictions. -Non-Gaussianity: f_NL^{local} = -3.2 ± 0.3, f_NL^{equil} = 1.7 ± 0.4 -Rotational anisotropy: ∆T_quad/T = {3.7 ± 0.3} × 10^{-6}. -High-z: H {z=11} = 179.2 km/s/Mpc, S_8 = 0.823 ± 0.008. 7. Conclusion: An Eternal Cosmic Symphony The Universe had no beginning and will have no end. It exists eternally as a 4-dimensional hypersphere S^4, rhythmically pulsating in an infinite sequence of cycles. What we call the "Big Bang" is merely the transition from contraction to expansion in the current cycle. Information is preserved forever through topological invariants of S^4 and quantum numbers of the Ψ-field. Our observable Universe is just one act in an eternal cosmic symphony.