Klee Irwin, Fang Fang, Marcelo Amaral and Raymond Aschheim (2017)

We apply a discrete quantum walk from a quantum particle on a discrete quantum spacetime from loop quantum gravity and show that the related entanglement entropy drives an entropic force. We apply these concepts in a model where walker positions are topologically encoded on a spin network. Then, we discuss the role of the golden ratio in fundamental physics by addressing charge and length quantization and by analyzing the ratios of fundamental constants‚ąíthe limits of nature. The limit of minimal length and volume arising in quantum gravity theory indicates an underlying principle that we develop herein.