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The Universe as a Spring: Eternal Cycle of Birth and Expansion

Original: "The cosmological inflation inside the cyclic model of the universe"
· Kanabar Jay, Maxim Khlopov, Jan Novák
arXiv:2605.15374v1 · 2026-05-14 · CC BY 4.0 · ⏱ 1 min · General Relativity
Inflation is not a one-time miracle, but a recurring phase after each contraction of the universe.
Abstract

The universe may not only have expanded after the Big Bang, but perhaps it pulses, endlessly contracting and expanding again. In the new model, after each crunch, inflation—a superfast stretching—kicks in, smoothing out the cosmos. Like a heart pumping blood with every beat. So, could our world be an eternal pendulum?

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The story of the Big Bang is often presented as the start of everything. But Stephen Hawking and Roger Penrose proved that ordinary gravity leads to a point of infinite density where the laws break down. Cyclic models avoid this: the universe eternally contracts and expands – like a spring that compresses and then snaps back sharply. But that motion alone doesn't explain the appearance of galaxies or the uniformity of the cosmos.

The savior is inflation – ultra-fast expansion proposed by Alan Guth. Two quantum fields, like invisible springs, control this: one handles the contraction and expansion, the other delivers a powerful jolt at the point of maximum compression. The jolt smooths out the curvature of spacetime and creates the seeds of future clusters. Each cycle resets the accumulated disorder. Surprisingly, the inflationary jolts are not identical. In the cosmic microwave background – the cooled light of the Big Bang – there may lurk imprints of previous cycles, real echoes of other universes. Satellite data already confirm the predicted pattern of this radiation.

The model also hints at the nature of dark energy: perhaps it is a leftover field from past inflations. Eternity, then, is not a dull repetition but a series of ever more complex bounces.

🎯 Inflationary jolts vary slightly in each cycle, so the cosmic microwave background may hide faint imprints of past universes – a kind of cosmic 'echo'.

🎬 An eternally repeating universe is a frequent guest in science fiction. In Poul Anderson's novel 'World Without End', the heroes experience the contraction of the cosmos and a new Big Bang.

n_s \approx 1 - \frac{2}{N}
Here N is the number of 'stretches' of the universe during inflation (usually 50–60). The closer the value is to 1, the more homogeneous the cosmic microwave background appears.
Scientists
Alan GuthAndrei LindeGeorges LemaîtreJames PeeblesAdam RiessBrian Schmidt
Tags
inflation dark energy cosmic microwave background big bang expansion of the universe entropy Quantum Field spacetime curvature gravity galaxy
Laws
Friedmann equationsHubble's lawsecond law of thermodynamicsNoether's theoremBekenstein-Hawking entropyEinstein field equations
Original: arXiv:2605.15374v1 · CC BY 4.0 · bridge42worlds