Universe as a Precise Mechanism: No 'Boltzmann Brains' ⚡ экспресс
A quantum cosmological model with unitary evolution in a finite-dimensional Hilbert space is considered. If the differences of energy eigenvalues are commensurate, the dynamics become exactly periodic rather than just recurrent, which resolves the Boltzmann brain problem. Starting from a state with minimal thermodynamic entropy, the system exhibits a pronounced entropy excursion, greatly exceeding that expected from the canonical distribution P(ΔS) ∝ exp(-ΔS). This peak is interpreted as the Big Bang, followed by an equilibrium phase with few fluctuations and a subsequent Big Crunch, closing the cycle. The spatiotemporal interpretation of such a quantum universe is discussed.
An eternal Universe where the measure of disorder (энтропия) grows is, for most of its time, a homogeneous void. In it, complex structures occasionally assemble by chance, such as fleeting consciousnesses — ‘мозги Больцмана’. According to probabilities, we should most likely be such ghosts rather than possessors of a long history.
A new quantum model resolves this paradox by likening the cosmos to a perfectly tuned clock. If the Universe’s energy levels are commensurate, its evolution becomes absolutely periodic. After the Большого взрыва, расширение drives matter apart, chaos increases, but the cycle ends before billions of random brains can arise. Quantum mechanics acts as a winding mechanism that returns the hands to the starting position.
In such a world, we are the natural inhabitants of an orderly phase. From the standpoint of геометрии пространства-времени, this means the Universe has extreme values of curvature — a ‘floor’ and a ‘ceiling’ — between which it oscillates. Without this periodicity, for every genuine consciousness there would be an astronomical number of phantom ‘brains’ emerging from the void more often than we evolved.
🎯 In a strictly periodic Universe, you will one day read this text again — exactly the same, as if time had looped.
🎬 A cyclical Universe has inspired science fiction writers: in Asimov’s ‘The Last Question’, the world is reborn after heat death.