# A Locally Finite Model for Gravity

@article{Hooft2008ALF, title={A Locally Finite Model for Gravity}, author={Gerard ’t Hooft}, journal={Foundations of Physics}, year={2008}, volume={38}, pages={733-757} }

Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate matter of a form that only displays a finite number of degrees of freedom in compact sections of space-time. In finite domains, one has only exact, analytic solutions. This is achieved by limiting ourselves to straight pieces of string, surrounded by locally flat… CONTINUE READING

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