To construct a new mathematical field that includes a unique addition and multiplication system.
Development of a mathematical framework for the new field.
Definition of operations for addition and multiplication within this field.
Demonstration of how real numbers can be embedded in the new field.
Introduction of a novel set of numbers with defined operations.
Establishment of properties showing compatibility with real numbers.
Abstract
This document presents the construction of a new mathematical field, equipped with its own addition and multiplication, into which the real numbers naturally embed.