The formula for density, d = mass/volume, is based on the fundamental principles of physics and is derived from the relationships between mass, volume, and weight. The formula d = w/V, as you proposed, would not accurately represent density because weight is dependent on the gravitational force acting on an object, which can vary depending on the location. Density, on the other hand, is an intrinsic property of a substance and remains constant regardless of location or gravitational field.
To understand why density is defined as mass divided by volume (d = m/V), let's consider its conceptual basis. Density represents how much mass is contained within a given volume of a substance. Mass is the amount of matter an object possesses, and volume is the amount of space it occupies. Dividing mass by volume gives a measure of how concentrated or "dense" the matter is in that given space.
If you were the first person to propose a different formula for density (such as d = V/w), you would need to provide a compelling scientific rationale for its use and demonstrate that it aligns with empirical observations and experimental results. However, it's important to note that the current definition of density (d = m/V) has been widely accepted and extensively used for centuries due to its consistency and accuracy in describing the relationship between mass and volume.
Modifying established scientific concepts and equations requires careful evaluation, validation, and acceptance by the scientific community. It typically involves substantial evidence and experimentation to challenge existing theories and introduce new concepts. While scientific progress allows for revisions and refinements over time, any proposed changes need to be based on sound scientific principles and empirical evidence to gain widespread recognition and adoption.