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Even though mathematics is abstract, it is the most universal tool for understanding and describing the physical world, rivaled in importance only by Logic.

Results from numerical systems are accompanied by different applications in physics and computer science.

  • ​"Simple and Linear Fast Adder" (Pending PCT patent approval)​

  • Simple and Linear Fast Multiplier

  • Integrating Operations for full SoC functionality

  • ASIC centered designs for improving processor performance

  • Solution to Computing-In-Memory Architectures

  • Fast Derivative Approximation

  • Fast Arithmetic Unit (for replacing traditional ALUs)

  • Accelerated Matrix Operations on classical and optical systems

  • Homomorphic Encryption

  • Dimensionality Reduction for Machine Learning

  • Full horizontal and vertical implementation of solutions

  • Software and Hardware based integration


Despite being the most useful tool in natural and physical sciences, mathematics does not appear to have any relation to the physical world. That is to say, there are no intrinsic properties shared between the abstract and physical worlds. It is another general consensus that the nature of numbers does not have any effect or implications in the physical realm, and it is one of the oldest and most difficult questions to answer in the philosophy of science.

The axiomatization of number systems proposed here opens debate by signaling similarities between algebraic operations of numbers and physical processes. Explicitly, systems of coherent wave sources model addition. On the other hand, possible outcomes of a nuclear reaction can be understood and visualized in terms of an algebraic hexagonal grid  that represents the operations of addition in integers and product in rational numbers.


Applications are explored in computer sciences. These will be ranging from hardware design of basic units such as Arithmetic Logic Unit, to a Fast Detrivative Algorithm. Parallel Computing,  Fast Operations, Cryptography, Optimization, among other topics, will be explored.

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