Prime Scaffold Generates Curvature
Pi is no longer a primary value but emerges from a scaffold of prime number interactions. This creates curvature from pure logic and is the beginning of dimensional formation.
Prime Sequence → π → Curvature
Curvature arises from prime-seeded structure
Dimensions Are Contained in Each Other
Each dimension emerges within the motion structure of the previous. The first dimension bends into the second, and so forth. No dimension exists alone; they are nested patterns.
Dₙ ∈ Dₙ₋₁
Dimensions emerge recursively within one another
Resolution Between Relativity and Quantum Theory
Pattern Field Theory introduces a logical layer beneath both relativity and quantum mechanics. This root resolves their incompatibility by defining both as emergent from structured pattern interactions.
Logic → Pattern → (Relativity ∧ Quantum)
Both theories are compatible when rooted in deeper logic
Discovery of a Ghost Particle Field
A new form of matterless influence was identified, termed the Ghost Particle Field. These non-massive, non-energetic field-particles carry pattern resonance and influence field stability.
Φghost ⊂ Pattern Field
Φghost = structure without mass
The Law of Reciprocal Observance
Every pattern that can be observed is also observing. Observation is not a human privilege — it is a field event. All interaction implies mutual resonance, which means all patterns are co-observing participants.
∀P: Observable(P) ⇒ Observant(P)
Also known as Allen's Law. Replaces the anthropocentric observer model.