Update README.md

README.md

@@ -33,7 +33,7 @@ tags:
 
 1. **The Big Bang as Interaction:** A wave-wave interference event rather than an explosion from a singularity.
 2. **Emergent Dimensions:** Dimensions as degrees of freedom generated by internal vibrational complexity.
-3. **Local Physical Constants:** Constants ($c, G, \hbar$) as inherited macro-scale properties defined by a ripple's unique vibration function.
+3. **Local Physical Constants:** Constants (c, G, ħ) as inherited macro-scale properties defined by a ripple's unique vibration function.
 4. **Nested Multiverse:** Every scale interaction spawns self-contained, localized sub-universes.
 5. **The 0D Ground:** Wave itself as the dynamic state of a deeper, zero-dimensional, unexcited potential.
 
@@ -76,7 +76,7 @@ Reality has no fundamental hard matter and no underlying fluid ether. "Particles
 Cosmological origin is modeled as the intersection of two pre-existing wave structures with distinct frequency profiles. Their harmonic resonance produced an outward-propagating wavefront. "Cosmic expansion" is the propagation of this primary wavefront — the wave itself growing larger, not stretching into a pre-existing void. The prior field is itself higher-order wave structure.
 
 ### Principle 3 — Dimensions as Nested Complexity
-Dimensions are not fixed external coordinate axes ($\mathbb{R}^n$). A dimension is an internal degree of vibrational freedom generated by non-linear wave mixing and cascading harmonics. Higher dimensions ($4\text{D}, 5\text{D}, 6\text{D}$) represent internal structure folded within the primary 3D macro-wave.
+Dimensions are not fixed external coordinate axes (Rⁿ). A dimension is an internal degree of vibrational freedom generated by non-linear wave mixing and cascading harmonics. Higher dimensions (4D, 5D, 6D) represent internal structure folded within the primary 3D macro-wave.
 
 ### Principle 4 — Every Interaction Spawns a Universe
 Scale-invariance implies that wave-wave disruptions at any magnitude generate localized, independent wave droplets. Each droplet forms a sub-reality with its own local metric, temporal flow, mass-analogues, and dimensional complexity. A cosmological Big Bang and a subatomic interaction share the same fundamental mechanism at different scale thresholds.
@@ -95,8 +95,8 @@ Macroscopic uniformity (invariant physical constants) is a scale effect of ridin
 
 ### The Vibration Function as Cosmic DNA
 Every spawned sub-ripple inherits a specific **vibration function** determined by the exact phase, amplitude, and frequency overlap of the parent waves at the point of contact. This function sets:
-- Local speed of wave propagation ($c_{\text{local}}$)
-- Local coupling strengths ($G_{\text{local}}$)
+- Local speed of wave propagation (c_local)
+- Local coupling strengths (G_local)
 - Local dimensional degrees of freedom
 
 ### What Determines the Vibration Function
@@ -126,7 +126,7 @@ The residue described here is not a separate signal detected from outside the bo
 
 ### Observational Targets & Empirical Status
 1. **CMB Anisotropies:** The model suggests concentric sub-harmonic interference signatures or thermal anomalies (e.g., the CMB Cold Spot).
-   - *Current Status:* Unconfirmed. Standard $\Lambda\text{CDM}$ accounts for these via statistical fluctuations or supervoids. Searches for Penrose CCC concentric circles/Hawking points remain unverified by broad consensus (a 2024 high-resolution re-analysis found no statistically significant evidence after artifact subtraction).
+   - *Current Status:* Unconfirmed. Standard ΛCDM accounts for these via statistical fluctuations or supervoids. Searches for Penrose CCC concentric circles/Hawking points remain unverified by broad consensus (a 2024 high-resolution re-analysis found no statistically significant evidence after artifact subtraction).
 2. **Spatial Variation of Constants:** Predicts fine-scale dipoles in constants across cosmological distances.
    - *Current Status:* Theoretical prediction only; no accepted observational confirmation exists.