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INFINITE PROBABILITIES. “The number operator and Hamiltonian, etc., are both nonlocal and nonpolynomial in the field operators. This property of non-locality will be useful later in the discussion of the early Universe.” https://lnkd.in/eA85pA5X View in LinkedIn

NOT LOCAL. “Their quanta are extended (consistent with what we show above for dark energy).” https://lnkd.in/eA85pA5X View in LinkedIn

INFINITE STATS. “The fields associated with infinite statistics are not local, neither in the sense that their observables commute at spacelike separation nor in the sense that their observables are pointlike functionals of the fields.” https://lnkd.in/eA85pA5X View in LinkedIn

DIFFERENT PROBABILITIES. “We conclude that the “particles” constituting dark energy obey infinite statistics, rather than the familiar Fermi or Bose statistics.” https://lnkd.in/eA85pA5X View in LinkedIn

Open to guesses. View in LinkedIn

INEVITABLE Q. “How do these long-wavelength quanta differ from ordinary particles?” https://lnkd.in/eA85pA5X View in LinkedIn

RIVERS AND RIPPLES. “A physical system is described by an operator. The eigenvalue of the operator contains only partial information of the system. This is the reason why one cannot hear the shape of a drum. Nevertheless, the information embedded in eigenvalues, though partial, is of special importance.” https://lnkd.in/gMu-_FxR View in LinkedIn

A bit of graffiti along tbe river in Girona that has a remarkable anima. View in LinkedIn

SPECIFICALLY. ‘The case for dark energy in the current/recent (“late”) universe was proposed before, while the case for cosmic inflation in the early Universe is the main focus of this Letter.” https://lnkd.in/eA85pA5X View in LinkedIn

MATHEMATICAL UNIVERSE. “I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I hypothesize that only computable and decidable (in Gödel’s sense) structures exist, which alleviates the cosmological measure problem and may help explain why our physical laws appear so simple.” (Professor Max Tegmark, MIT). https://lnkd.in/emNRh22t View in LinkedIn