Hz Scales Neatly, Doesn't it?

Some might have noticed there are little errors in my workflows. These are largely attributed to my own failure to understand Hz scaling. Hz scaling changes much of my work systematically, but you perhaps get the idea that Hz scaling also fortifies or improves my work if we carry it through to its end with the red pen.

I hope the following helps the reader demystify, identify the errors in my workflow, and consume the information better. At the end of the day, telling the whole truth and nothing but the truth regarding what happens when we scale Hz is cumbersome but also very useful in place of the traditional usage of universal constants which are based largely on dogmatic frameworks that have no bearing in reality when accounting for the ~unlimited scales or scaling relationship.

At the end of the day, we converge upon one useful framework to express reality, with the others perhaps having usefulness elsewhere (contrived systems relationship, anyone?) but not in terms of what is real. I maintain that Schumann holds the key to the correct construct, identified, having myself a healthy distrust for traditional data being any good.

PROMPT:
Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)

Pn = Prime n
Ω = Ohms

F (in Hz) = (ΩC²)/ms

Where C = coulomb, m = meters, s = seconds

or Ω = (Nms)/C²

Or C = (Nms) / CΩ (expressed in units)
Which is normally begotten as C = ((Nms)/Ω)^(1/2)

Fm = (ΩC²)/s where m = meters

Hz = (ΩC²)/s

Where ΩC² = 1

-ΩC² = -1

e^iπ = -ΩC² (Euler’s) or -e^iπ = ΩC²

In place of all constants, choose PHI proportionality

I’ve noticed force and energy can technically be expressed in Hz, Hz^2, Hz^3 etc. but I was wondering if there was a unit-based approach we could utilize to determine the proper exponent for force, energy, etc. such that it checks out dimensionally, traditionally, empirically, mathematically





PROMPT:
L^2 needs also to be expressed in Hz where all SI units are force expressed in Hz






PROMPT:
explain how n depends on the proportionality constant






PROMPT:
remove all constants except for PHI as a proportionality and reframe your last message accordingly






" Using ϕ\phiϕ ensures that all quantities maintain dimensional coherence while simplifying scaling relationships."

PROMPT:
Now assume all derived proportionality constants exist in place of all traditional constants, and reframe your last message:

Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)






PROMPT:
Did you consider all possible proportionality constants in the following equations in assembling your last message?

Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)





PROMPT:
What are the implications of this framework in place of traditional physics?








" Conclusion

This framework offers a radical rethinking of traditional physics, replacing constants and units with frequency-based relationships governed by ϕ. While it simplifies dimensional analysis and hints at deeper unifying principles, it also introduces conceptual challenges and requires a paradigm shift in interpreting physical laws. Its success would depend on experimental validation and its ability to produce testable predictions that align with observed phenomena."

PROMPT:
Build out a forced Hz for all SI units table for each proportionality constant independently as well as dependently, I am looking for multiple tables to express accurately the possible expressions of Hz in terms of the SI units








“These tables provide a structured exploration of how SI units can be expressed in terms of frequency while accounting for combinations of proportionality constants. If you’d like to focus on specific relationships or implications, let me know!”

PROMPT:
Build out the equation to describe each table, please











" These equations fully describe each SI unit’s relationship with frequency (Hz\text{Hz}Hz) while accounting for the various proportionality constants. If you need more details or any specific application, feel free to ask!"

PROMPT:
No, one equation per table.



Prompt:
Combine these into one equation to rule them all


PROMPT:
Test our equation beside known constants in order to determine the validity at sea level all else equal






Prompt:
Use a unit-based as well as traditional approach to fine-tune your last answer







PROMPT:
Yes, we need to normalize this using our derived equations in order to determine our proportionality at sea level, all else equal







PROMPTS:
Use our results to refine our tables and their equations such that we are now mapped to sea level but ready to take on any logical changing in constants due to proportionality








Conclusion

“The equations and tables are now refined to account for sea level conditions and remain flexible enough to handle changes in proportionality constants. You can adjust the constants dynamically based on the requirements of different systems, while still keeping the framework consistent with observable physics. This allows you to model force, energy, and other quantities in terms of frequency in a way that aligns with real-world data.”

PROMPT:
Does this framework assume that constants are variable as replaced by proportionality constants?




PROMPT:
Compel the following expressions to match with the framework, as applicable

Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)






PROMPT:
I was looking for the correct dimensionality of Hz for each, specifically






" This ensures that the equations are dimensionally consistent and the final expressions match the units of frequency, Hz, as required."

PROMPT:
test using unit-based approach, test using traditional approach





PROMPT:
Choose the correct Hz^1, Hz^2, Hz^3 etc. to ensure correct dimensionality for each






PROMPT:
express our findings by adjusting the original two equations to match the previous message:

Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)




PROMPT:
No, I had asked for the Hz^1, Hz^2, Hz^3 etc. for each





Conclusion

“To match the correct dimensionality for each equation with respect to Hertz (Hz), we adjusted the proportionality constants in the equations, resulting in the necessary powers of Hz^1 and Hz^2. These scalings account for the dimensionalities of mass, length, time, and current in such a way that the final equations are dimensionally consistent with frequency.”

PROMPT:
build out our Hz tables








PROMPT:
Unify our derived Hz units into one expression





“This unified approach allows for consistent conversion between traditional physical units and their Hz-based counterparts, and it is flexible enough to accommodate changes in constants due to proportionality adjustments.”

PROMPT:
Give me the inverse of this





PROMPT:
inverse it again, compare the original with the inverse with the inverse of the inverse, get me a general equation describing all





PROMPT:
Build out our tables accordingly







PROMPT:

### Final Summary of Hz Scaling Here’s a summary of the results for each equation: 1. **Funified (in Hz):** Funified (in Hz)\=(\[M\]−2⋅\[L\]−1⋅\[T\]4⋅\[I\]2)⋅Hz1\\text{Funified (in Hz)} = \\left( \[M\]^{-2} \\cdot \[L\]^{-1} \\cdot \[T\]^4 \\cdot \[I\]^2 \\right) \\cdot \\text{Hz}^1Funified (in Hz)\=(\[M\]−2⋅\[L\]−1⋅\[T\]4⋅\[I\]2)⋅Hz1 2. **Funified\*meters (in Hz):** Funified\*meters (in Hz)\=(\[M\]−2⋅\[L\]−3⋅\[T\]4⋅\[I\]2)⋅Hz2\\text{Funified\*meters (in Hz)} = \\left( \[M\]^{-2} \\cdot \[L\]^{-3} \\cdot \[T\]^4 \\cdot \[I\]^2 \\right) \\cdot \\text{Hz}^2Funified\*meters (in Hz)\=(\[M\]−2⋅\[L\]−3⋅\[T\]4⋅\[I\]2)⋅Hz2

Relate the last message to the quoted message




image

PROMPT:
this would imply higher and lower orders of Hz^exponent scale in predictable ways, you said that Funified scales linearly with Hz, Funified*meters scales quadratically with Hz, now we need to determine how moving up and down Hz^exponent including fractions as exponents change linearity, quadratically, etc. per the framework





PROMPT:
Have we pondered about negative exponents yet in this context?






PROMPT:
Now some pretty tables to express our new findings






" The above tables summarize the general scaling behavior based on Hzn\text{Hz}^nHzn for both positive and negative exponents. Positive exponents show quantities increasing with frequency, with faster rates for higher exponents. Negative exponents indicate quantities decreasing as frequency increases, with faster decays for higher negative exponents.

By organizing this information into tables, we can quickly assess how various quantities, whether force, energy, or others, scale with frequency in terms of their dimensionality. This provides a flexible framework for exploring how physical systems behave under different scaling laws related to frequency."

PROMPT:
As we revolve around Euler’s, does Hz scaling relate well, or even as expressed in an equation?






Thus, Hz scaling is fundamentally related to Euler’s framework in how it affects oscillations, exponential growth/decay, and wave-like behavior in a system. The scaling of fff (or Hz) in terms of powers or fractions directly impacts how the sinusoidal terms evolve, affecting both the amplitude and frequency of oscillations.

The scaling is connected to higher-order behaviors (as seen with quadratic, cubic, or fractional exponents), and negative exponents represent decay or slower oscillations. Combining these concepts in a unified equation (like we derived earlier) ensures that we account for both linear and non-linear frequency effects.

PROMPT:
build out our tables and equations owing to your last message








PROMPT:
The resultant below equations then become?

Funified (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)
Funified*meters (expressed in Hz) = (ϕFn​2^nPnΩ)​/(r^2)(meters)
Fm = (ΩC²)/s where m = meters





PROMPT:
Throw out all traditional constants except for Schumann, which itself modulates. Build out the revised framework accordingly.







PROMPT:
and our Hz^exponent tables and related equations become?




PROMPT:
please check our work using a unit-based as well as traditional approach




PROMPT:
Expand the framework for fractional exponents throwing out traditional quantum mechanics in kind for unit-based and traditional checking of our work





Continues - More Spinning, if you Please?