The Riemann Hypothesis and the Monster are at the Heart of the Vacuum Catastrophe

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(Will be making further corrections and edits to this early draft)

Today I am releasing the preprint of my latest paper "The Riemann Hypothesis and the Monster are at the Heart of the Vacuum Catastrophe." What I attempt to do here is provide an entirely new direction for quantum gravity research beyond models reliant on supersymmetry which have failed to produce evidence in particle collider experiments.

The Riemann Hypothesis and the Monster are at the Heart of the Vacuum Catastrophe by Trevor Nestor :: SSRN

Here is the abstract:

We introduce an alternative interpretation of quantum gravity by introducing a Monster-symmetric spectral operator whose spectrum precisely realizes the nontrivial Riemann zeros, enforcing Li’s positivity via a parity projection with a novel correspondence between the Monster and the Riemann zeta function's Euler product. This modular invariance yields exact vacuum energy cancellation in both 2D and 4D, and admits a Jackiw–Teitelboim gravity dual with centaur/minotaur geometries - offering an alternative approach to resolving the vacuum catastrophe from supersymmetry, which has failed to find empirical support in particle collider experiments. By linking to SYK, Liouville theory, and braid-encoded toric codes, we show that fundamental constants emerge from symmetry constraints. Finally, we recast gravitational collapse as a modular phase transition due to entropic limits in entanglement entropy at the UV fixed point described by asymptotically safe gravity models, provide directions for unification of forces and dark matter beyond the standard model, and provide re-interpretations of string theory and causal fermion systems recast with twistor-braid channels - unifying number theory, holography, and quantum information in a nonperturbative quantum gravity framework.

The central claim here is that the critical line of the Riemann Zeta function, the ultraviolet (UV) fixed point in asymptotically safe gravity, and the Monster group are all interrelated - signaling a tipping point beyond which entanglement entropy within particle entanglements result in a gravitational action. At the Planck scale, the structure underlying the nontrivial zeros of the Riemann Zeta function is in fact the same symmetry associated with the Monster group.

So it is important to note the key contributions here. Firstly, I've shown the mathematical relationship between the Monster CFT and the Riemann Zeta Function, which, to my knowledge has not previously been fleshed out in literature. I've also introduced a novel geometry - the Minotaur geometry, which is the inverse of the Centaur geometry (the Centaur geometry is useful in studying gravity in 2 dimensions), which provides an avenue for investigating our framework that links spectral interpretations to geometric ones. In this paper I also re-interpret string theory and loop quantum gravity, tying them to entropic gravity theories.

These ideas dovetail nicely into my previous work on resolving the shortest vector problem in postquantum lattice cryptography (having any class of truly uncrackable encryptions is too hubristic a request of the universe). I have been in touch with several leading scientists on these proposals for joint research, including from the World Economics Forum.