3 citations · 4 across the 4 of their papers we have counts for
9 papers
Complex Rational Numbers in Quantum Mechanics
Paul Benioff
A binary representation of complex rational numbers and their arithmetic is described that is not based on qubits. It takes account of the fact that in a qubit string do not c…
Tightening the Theory-Experiment Connection in Physics: R_{n} based Space and Time
Paul Benioff
Some aspects of replacing C based physics by C_{n} based physics are discussed. Here C_{n} ={R_{n},I_{n}} where R_{n} and I_{n} are the real and imaginary components of the numbers…
Resource Limited Theories and their Extensions
Paul Benioff
This work is based on the idea that extension of physical and mathematical theories to include the amount of space, time, momentum, and energy resources required to determine prope…
Language is Physical
Paul Benioff
Some aspects of the physical nature of language are discussed. In particular, physical models of language must exist that are efficiently implementable. The existence requirement i…
Towards a Coherent Theory of Physics and Mathematics
Paul Benioff
As an approach to a Theory of Everything a framework for developing a coherent theory of mathematics and physics together is described. The main characteristic of such a theory is…
The Representation of Numbers in Quantum Mechanics
Paul Benioff
Earlier work on modular arithmetic of k-ary representations of length L of the natural numbers in quantum mechanics is extended here to k-ary representations of all natural numbers…