Reply to the Comment on “Quantum Fundamental Speed Theory: Mathematical Derivations of Dark Matter and Dark Energy from the Speed Field”
This document provides a detailed, point-by-point response to the Technical Note submitted on August 3, 2026, concerning my paper "Quantum Fundamental Speed Theory: Mathematical Derivations of Dark Matter and Dark Energy from the Speed Field" (DOI: 10.59628/jast.v4i7.3446). The Technical Note raises four main criticisms regarding (1) the linearization used to derive the screening length, (2) the Taylor expansion of the logarithmic potential, (3) the units used in the dark-energy density calculation, and (4) the interpretation of ultralight dark-matter bounds. I demonstrate that three of these criticisms are based on misunderstandings of the physical context or on algebraic/unit errors in the Technical Note itself. One criticism—concerning the Taylor expansion of the logarithmic potential—is acknowledged as correct analytically, but it does not affect the final numerical results, which are obtained from a full numerical solution of the coupled background system. I provide detailed derivations, dimensional analyses, and references to the existing literature to support my responses
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