Brahmam Mirror Number: A Reflective Symmetry Principle in Digital Arithmetic

This article introduces the Brahmam Mirror Number (BMN), a class of integers whose product with their digit-reversal forms a palindromic number. The paper proves a structural theorem showing that palindromy arises from exponent pairing and symmetric carry propagation in the mirror-product. Examples, corollaries, and Fibonacci cases illustrate the breadth of the concept, and potential applications are discussed in digital arithmetic, checksum design, and pedagogy.