Concept Summary
In the Charge Admittance (CA) framework, time is not a flexible dimension that stretches or compresses — it is constant and uniform. What changes is the ability of energy to move through space, governed by the structural properties of the field: specifically, ε₀ and μ₀.
Thus, what appears as “time dilation” is not time itself changing, but a variation in how fast energy (including clock mechanisms) can propagate in different regions of the field. The observed effects are due to local impedance gradients — not temporal distortion.
Key Expression:
![\[ \frac{d\tau}{dt} \propto \frac{d(\varepsilon_0 \mu_0)}{dx} \]](https://gravityz0.com/wp-content/ql-cache/quicklatex.com-78a74b51bf41b8b721398e135455dbf8_l3.png "Rendered by QuickLaTeX.com")
Where:
is proper time, a constant in CA
is observed clock rate (apparent time change due to energy flow lag)
, 
are spatially varying field parameters
Interpretation:
Time doesn’t slow or speed up — energy transmission does.
- Time remains invariant — it’s the medium that changes.
- A spatial gradient in ε₀μ₀ alters how quickly energy propagates, making clocks appear to tick at different rates.
- What is traditionally modeled as time dilation is actually a shift in field throughput.
Implication:
This view turns the relativistic paradigm on its head:
- Time remains invariant — it’s the medium that changes.
- Energy propagates more slowly through regions of higher impedance, causing apparent temporal effects.
- Gravitational and inertial time distortions are reframed as structural lag in the field’s ability to convey energy.
In CA, clocks don’t experience different time — they just express it differently, due to their environment’s structure.