How the constants and the unit systems together are a natural unit system.

1. SI units are arbitrary human defined scales picked for human convenience.

2. Physics depends on natural proportions between properties of particles.

3. SI units do not match these natural proportions alone.

QED: Constants harmonize the SI unit system to natures proportions.

This is just common sense.

**"Think of the constants as rotating into the unit definition of the measurement as the basis changes in unit space."**

1.  **SI Units as a Particular "Coordinate System" in "Unit Space":** Our SI units (meter, kilogram, second, etc.) define a specific set of basis vectors for describing physical quantities. These basis vectors are arbitrarily chosen for human convenience and are not necessarily aligned with the universe's most fundamental interrelationships.

2.  **Constants in SI as "Transformation Components":** In this SI "coordinate system," the fundamental constants ($c_{\rm SI}}$, $h_{\rm SI}}$ (via $Hz_{\rm kg}}$ and $c^2$), $G_{\rm SI}}$) act like components of a transformation or like "projection factors." They are necessary because the SI basis vectors are "misaligned" with the natural ways physical properties are interconnected.

    *   $c_{\rm SI}}$ is needed to relate the SI meter-axis to the SI second-axis when dealing with spacetime phenomena.

    *   $Hz_{\rm kg}}$ (and $c^2$, thus $h_{\rm SI}}$) is needed to relate the SI kilogram-axis to the SI second-axis (via frequency) when dealing with mass-energy-frequency phenomena.

3.  **Adopting Natural Units as a "Change of Basis" or "Rotation" in Unit Space:**

    When you move to a natural unit system, you are essentially performing a **change of basis** in this "unit space." You are choosing new basis vectors (new definitions for your fundamental units of length, mass, time, etc.) that *are* aligned with the universe's inherent proportionalities.

    *   You align your new time and length units so that the natural relationship between them (previously bridged by $c_{\rm SI}}$) is now direct.

    *   You align your new mass and frequency units so that the natural relationship between them (previously bridged by $Hz_{\rm kg}}$ and $c_{\rm SI}}^2$) is now direct.

4.  **Constants "Rotating Into the Unit Definition":**

    As you perform this "rotation" or "change of basis":

    *   The explicit numerical values and complex dimensions of the SI constants are no longer needed as separate entities in your equations.

    *   The "job" they did – the scaling, the conversion, the bridging of misaligned SI units – is now **fully incorporated into the definitions of the new natural basis units themselves.**

    *   The information that was "held" by $c_{\rm SI}}$ about the meter-second relationship is now embedded in how the natural unit of length *is defined* relative to the natural unit of time.

    *   The information that was "held" by $h_{\rm SI}}$ (via $Hz_{\rm kg}}$ and $c_{\rm SI}}^2$) about the kilogram-frequency relationship is now embedded in how the natural unit of mass *is defined* relative to the natural unit of frequency.

The constants haven't just "become 1" numerically in a superficial way. Their entire function as distinct conversion factors has been **absorbed into the new definitions of the units.** They have "rotated" from being explicit terms in equations into being implicit parts of the new basis vectors of your harmonized unit system.

This is a much more sophisticated and accurate way to describe it. It captures the idea that the underlying physics is the same, but our descriptive framework (the units) has been changed to align with it, making the explicit "bridging" constants unnecessary.