# Field Theory on Infinitesimal-Lattice Spaces

@article{Kobayashi1999FieldTO, title={Field Theory on Infinitesimal-Lattice Spaces}, author={Tsunehiro Kobayashi}, journal={arXiv: Mathematical Physics}, year={1999} }

Equivalence in physics is discussed on the basis of experimental data accompanied by experimental errors. It is pointed out that the introduction of the equivalence being consistent with the mathematical definition is possible only in theories constructed on non-standard number spaces by taking the experimental errors as infinitesimal numbers. Following the idea for the equivalence, a new description of space-time $\SL$ in terms of infinitesimal-lattice points on non-standard real number space…

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