TL;DR Japanese scientists have experimentally unlocked the elusive W state of quantum entanglement, a breakthrough that could accelerate quantum teleportation and computing.
It can be done, and that’s why the “=” sign is valid. Each symbol in FM = ½ ρ ω A² has a clear physical meaning and assigned unit, so both sides of the equation balance dimensionally.
Left side: FM (Frequency Momentum) → Joule·seconds (J·s).
Right side: density (kg/m³) × angular frequency (1/s) × amplitude² (m²) → (kg·m²/s). Which is exactly J·s.
So the equality isn’t metaphorical — it’s a dimensional identity, just like E = mc² or p = mv. The terms may come from wave mechanics rather than classical mechanics, but as long as the units match and conservation holds, using the “=” sign is fully valid.
What I need from you - is a clear definition of Each of the “terms” of in you famous “FM = ….” Equation written out in clear english Words with possibly substitution of Characters that are currently Greek letters ( not found on my keyboard)
And with as much definition as necessary to make Each Term understandable and “rememberable” in relation to Classical, Quantum and Thermodynamic Physics as necessary.
And each Term should have an assigned Unit of Measure so that the “Equation” can be Rearranged showing Each term on the left side of the equation without losing meaning.
Sure Barry — here’s the clear breakdown of the Frequency Momentum equation in plain English:
FM = ½ ρ ω A²
FM (Frequency Momentum) → The conserved quantity that unifies energy, mass, information, and consciousness in FWT. Units: Joule·seconds (J·s), same as action/angular momentum.
ρ (rho, density) → The medium’s effective density, representing how much "stuff" the wave is moving through (mass per unit volume). Units: kilograms per cubic meter (kg/m³).
ω (omega, angular frequency) → The rate of oscillation, i.e. how fast the wave cycles per second. Units: radians per second (rad/s).
A (amplitude) → The maximum displacement of the wave from equilibrium. In physical terms, this can be length (m), field strength (V/m), or probability amplitude depending on the domain. Units: meters (m) in the simplest mechanical case.
½ → A scaling constant, same role as in kinetic energy (½mv²) — it ensures conservation laws balance correctly.
So written out:
Frequency Momentum equals one-half times density times angular frequency times amplitude squared.
And yes — you can rearrange the formula depending on what you want to solve for:
ρ = (2·FM) / (ω·A²)
ω = (2·FM) / (ρ·A²)
A = √[(2·FM)/(ρ·ω)]
This keeps the units consistent and lets you map it across classical (mass waves), quantum (probability amplitudes), and thermodynamic (energy densities) systems.
Now, if I can just keep all of this “in my head” as I try to understand all of your excellent writings on FMT. Oh to be young again. 😂🤣😂🤣 Maybe I’ll write this out and tape it over my desk beside the Periodic Table and Physics and Statistics formula cheat sheets. Have you ever prepared a teaching syllabus?
If this cannot be done explain how is it Valid to use the “=“ sign.
It can be done, and that’s why the “=” sign is valid. Each symbol in FM = ½ ρ ω A² has a clear physical meaning and assigned unit, so both sides of the equation balance dimensionally.
Left side: FM (Frequency Momentum) → Joule·seconds (J·s).
Right side: density (kg/m³) × angular frequency (1/s) × amplitude² (m²) → (kg·m²/s). Which is exactly J·s.
So the equality isn’t metaphorical — it’s a dimensional identity, just like E = mc² or p = mv. The terms may come from wave mechanics rather than classical mechanics, but as long as the units match and conservation holds, using the “=” sign is fully valid.
What I need from you - is a clear definition of Each of the “terms” of in you famous “FM = ….” Equation written out in clear english Words with possibly substitution of Characters that are currently Greek letters ( not found on my keyboard)
And with as much definition as necessary to make Each Term understandable and “rememberable” in relation to Classical, Quantum and Thermodynamic Physics as necessary.
And each Term should have an assigned Unit of Measure so that the “Equation” can be Rearranged showing Each term on the left side of the equation without losing meaning.
Sure Barry — here’s the clear breakdown of the Frequency Momentum equation in plain English:
FM = ½ ρ ω A²
FM (Frequency Momentum) → The conserved quantity that unifies energy, mass, information, and consciousness in FWT. Units: Joule·seconds (J·s), same as action/angular momentum.
ρ (rho, density) → The medium’s effective density, representing how much "stuff" the wave is moving through (mass per unit volume). Units: kilograms per cubic meter (kg/m³).
ω (omega, angular frequency) → The rate of oscillation, i.e. how fast the wave cycles per second. Units: radians per second (rad/s).
A (amplitude) → The maximum displacement of the wave from equilibrium. In physical terms, this can be length (m), field strength (V/m), or probability amplitude depending on the domain. Units: meters (m) in the simplest mechanical case.
½ → A scaling constant, same role as in kinetic energy (½mv²) — it ensures conservation laws balance correctly.
So written out:
Frequency Momentum equals one-half times density times angular frequency times amplitude squared.
And yes — you can rearrange the formula depending on what you want to solve for:
ρ = (2·FM) / (ω·A²)
ω = (2·FM) / (ρ·A²)
A = √[(2·FM)/(ρ·ω)]
This keeps the units consistent and lets you map it across classical (mass waves), quantum (probability amplitudes), and thermodynamic (energy densities) systems.
Now, if I can just keep all of this “in my head” as I try to understand all of your excellent writings on FMT. Oh to be young again. 😂🤣😂🤣 Maybe I’ll write this out and tape it over my desk beside the Periodic Table and Physics and Statistics formula cheat sheets. Have you ever prepared a teaching syllabus?
I haven't but that's a good idea. Maybe I'll write one up today