Fabric Constants
For the EOTU, King Time \(t_k\) starts each cycle. It represents the irreducible period of coherence within the universal fabric: this time never stops and always continues forward. Its associated King Frequency is:
King Frequency does not vary between epochs and defines the universal pace of all processes. Each individual oscillation has a unique amplitude \(A_i\) and one of four specific phase offsets \(\phi\). The combined amplitude of all individual amplitudes adds up to the global amplitude, the King Amplitude \(A_k\). Once the lattice is set, the King Amplitude is fixed and must be conserved.
With King Time as invariant, the framework can conceptually trace backward to an era preceding matter itself, when countless oscillating fabrics existed without spatial structure or curvature — pure recurrence awaiting interaction. Within the EOTU framework, the persistence of King Time is the first invariant; it is the unbroken recurrence upon which all other relationships are built.
Wherever amplitude or phase differences remain, the fabric preserves continuity by forming curvature between the mismatched oscillatory states. This curvature tension drives the system toward lower-curvature configurations and provides the basis for later interaction.
Summary
- King Time \(t_k\) starts each cycle and defines the irreducible coherence period.
- King Frequency is defined by \(\nu_k = 1/t_k\).
- Each oscillation carries an amplitude \(A_i\) and one of four phase offsets \(\phi\).
- The King Amplitude \(A_k\) is the conserved sum of individual amplitudes.
- Amplitude and phase mismatches generate curvature as the fabric preserves continuity.
- Curvature tension drives later interaction by favoring lower-curvature configurations.