The Singularity That Never Was: How Quantum Tango Erases the Beginning of the Universe ✦

Original: "Singularity Resolution in Quantum Cosmology via Page-Wootters Formalism"

arXiv:2605.06093v1 · 2026-05-07 · CC BY 4.0 · ⏱ 1 min · General Relativity Quantum Physics

Relational time, born from quantum entanglement, zeroes out the probability of the Big Bang — the cosmic point dissolves into perpetual motion.

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Somewhere in the equations of quantum gravity, the answer lurks: time does not exist until parts of the cosmos 'sense' each other. The tango of volume and anisotropy births a rhythm in which the Big Bang singularity loses meaning. The probability of a point is zero. The universe has always been in motion. Our past is not a single moment, but a blurred quantum melody sounding from within.

🎯 The Page-Wootters paradox (1983): without external clocks, any change is an illusion born of entanglement. The universe resembles a film reel: it's still until you run your finger along the frames.

🎬 This concept echoes the bootstrap paradox from Robert Heinlein's story 'By His Bootstraps': there, time also creates itself without an external reference point, looping causes and effects.

\hat{H} |\Psi\rangle = 0

Total energy is zero; the wave function is frozen because there are no external clocks.

P(\alpha|\beta_0) = i \left( \Psi^*\frac{\partial\Psi}{\partial\beta_0} - \frac{\partial\Psi^*}{\partial\beta_0}\Psi \right)

Distribution of size α depending on the clock β₀; in this dance, zero volume is impossible — the probability is strictly zero.

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The Singularity That Never Was: How Quantum Tango Erases the Beginning of the Universe ✦