Redefining the Kilogram and Planck's Constant, A second simpler example.

The latest project is here: 
https://github.com/BuckRogers1965/RedefineUnitsForPlancksConstant


In this redefinition, we propose changing the unit of mass (the kilogram) so that 1 kg equals 1.98644568 × 10^-25. This change has profound implications for the values of fundamental constants in physics, particularly Planck’s constant (h).

Implication for Planck's Constant

Planck’s constant $h$ is traditionally related to the energy of a photon through the equation $E = h \nu$, where $\nu$ is the frequency of the photon. In this redefined system, the new relationship would set $h = 1/c$, where $c$ is the speed of light.

The reason for this is that:

• The energy-mass equivalence is $E = mc^2$.
• $h$ also relates to energy via $E = h \nu$.

If we set $h = 1/c$, it means that the product of $h$ and $c$ becomes:

$$h\times c=\left(\frac{1}{c}\right)\times c=1$$

This is a simple but powerful result.

What Does This Mean?

When we multiply Planck’s constant by the speed of light, the result is 1 J·m (joule meter). This is a fundamental unit that arises directly from the redefinition. So, under this new system, we get:

$$h\times c=1\text{J m}$$

Why Is This Important?

This is a significant simplification because it ties together two key physical constants—Planck's constant $h$ and the speed of light $c$—in a direct, geometrically scaled relationship. In this redefined framework, $h \times c = 1 \, \text{J·m}$, meaning that the product of these constants has a clear, simple physical interpretation as 1 joule meter.  

This means that energy is directly inversely proportional to wavelength with this unit definition. his equation shows that the energy of a photon (or any particle with a wavelength λ) is inversely proportional to its wavelength. This is consistent with the well-known formula for photon energy in terms of wavelength, 

$E = \frac{hc}{\lambda}$, but with a redefined system where $h\times c=1\text{J m. <br>}\text{<br>}\text{<br>}\text{<br>}$

Thus, we get:

$$E=\frac{1\text{J m}}{\mathrm{\lambda }}$$

This redefinition of the Kg clearly shows that h is merely a unit definition divided by c. This new understanding shows that h = K/c and can be replaced in any formulas with this gometric understanding.