The inverted harmonic oscillator and its dual are argued to underpin a unique unitary renormalizable quantum gravity in four dimensions, yielding a non-singular universe and Starobinsky inflation.
The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The Argand diagram is used to display some characteristics of the Riemann Zeta function. The zeros of the Zeta function on the complex plane give rise to an infinite sequence of closed loops, all passing through the origin of the diagram. This leads to the analogy with the scattering amplitude, and an approximate rule for the location of the zeros. The smooth phase of the Zeta function along the line of the zeros is related to the quantum density of states of an inverted oscillator.
fields
physics.gen-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Saddle Point of Everything
The inverted harmonic oscillator and its dual are argued to underpin a unique unitary renormalizable quantum gravity in four dimensions, yielding a non-singular universe and Starobinsky inflation.