Cosmic Egg Theory · The Central Claim

One geometry.
Thirty-nine orders of magnitude.

The bilateral crossing angle θ = π/8 and the cross product L = |v₊ × v₋| appear consistently from nuclear scale to quasar scale. CET proposes this is not coincidence — it is the same geometric relationship operating at every scale.

θ = π/8 L = |v₊ × v₋| 10⁻¹⁵m → 10²⁴m Scale Invariance CET v24
10⁻¹⁵ 10⁻¹⁰ 10⁻⁵ 10⁰ 10⁵ 10¹⁰ 10¹⁵ 10¹⁷ 10²⁴ 10²⁰–²⁴ ← SCALE (METERS, LOG) → NUCLEAR ATOMIC BILATERAL BODY PLAN · 10⁰m HH OBJECTS RED RECTANGLE AGN JETS 39 ORDERS OF MAGNITUDE θ = π/8 IN EACH CASE

Logarithmic scale from 10⁻¹⁵m (nuclear) to 10²⁴m (quasar radio lobes). Gold markers: documented bilateral crossing cases with θ ≈ π/8 and page entries. Blue marker: bilateral body plan (consciousness bridge). Gray markers: scale positions not yet documented in the CET series.

The same geometry, not the same object.

CET v24 is not arguing that black holes resemble nebulae resemble protostars. It is arguing something more specific: that two geometric constants — the bilateral crossing angle θ ≈ π/8 and the cross product L = |v₊ × v₋| — appear consistently across every documented astrophysical scale at which bilateral outflows have been studied.

The masses differ by 60 orders of magnitude. The velocities range from subsonic to relativistic. The timescales span seconds to millions of years. The underlying geometry does not change.

This is what scale invariance means in CET: not that the systems look alike, but that specific geometric relationships hold across scales where they have no physical reason to do so — unless the geometry itself is the reason.

"Scale invariance in CET is not an analogy. An analogy is when two different things remind you of each other. This is when the same number appears in the same structural role across fifteen orders of magnitude of physical scale." — CET v24, doi:10.5281/zenodo.22982424

What Stays Constant

Crossing Angle
θ ≈ π/8 = 22.5°
Outflow half-angle from the bilateral axis. Measured in HH jets (~15–25°), Red Rectangle cone (~22°), and AGN jet opening angles (M87*: ~19°, Cygnus A: ~20°).
Cross Product
L = |v₊ × v₋| > 0
Bilateral crossing maintained. In every documented case, the system produces and sustains two counter-directed arms. Unipolar astrophysical outflows are not observed in isolation.
Equatorial Structure
Symmetry Plane
Accretion disk (HH, AGN), dust disk (Red Rectangle). In every case, a perpendicular structure enforces bilateral symmetry and collimates the outflow.
Periodic Record
Knots / Rungs
Episodic density enhancements preserved in jet or cone structure. Knots in HH jets. Rungs in the Red Rectangle. Plasma condensations in AGN jets. Same structural signature.

What Changes

↕
Mass
10⁻²⁷ kg (proton) → 10³⁹ kg (galaxy cluster). The central object's mass spans roughly 60 orders of magnitude across the documented scale range.
↕
Energy Output
10⁻¹⁵ J (nuclear) → 10⁴⁵ J (quasar). The geometry is scale-invariant; the energy it processes is not.
↕
Velocity
100 km/s (HH jets) → 0.98c (AGN jets). Speed approaches light at the high end. The θ ≈ π/8 geometry holds regardless.
↕
Timescale
10² yr (HH variability) → 10⁶ yr (AGN jet lifetime). The bilateral structure persists across all of them.
The Implication · Consciousness Branch

If the geometry holds across 39 orders of magnitude in physical systems, what does it mean for conscious ones?

The Consciousness Detection Framework (CDF) proposes that the same bilateral crossing geometry — observer node, v₊ and v₋ arms, θ ≈ π/8, L = |v₊ × v₋| — underlies the structure of conscious experience. The four coordinates (Truth, Love, Beauty, Wisdom) are derived from this same bilateral structure.

The astrophysical evidence does not prove the consciousness claim. But it changes what kind of claim it is. When the same geometry appears across 39 orders of magnitude in physical systems, proposing that it also underlies consciousness is no longer a metaphor. It is a testable extension of an observed pattern.

The biological bilateral body plan (10⁰ m) sits midway between nuclear and quasar scale — a natural bridge point. The consciousness pages are in development.

CET Scale Invariance · Status

10⁻¹⁵ m Nuclear Nuclear shell structure, magnetic moments — bilateral symmetry present. Formal CET documentation in progress.
10⁻¹⁰ m Atomic Documented · Fine structure constant as step size · α-octave atomic ladder · page live.
10⁰ m Biological Bilateral body plans — universal in motile animals. Bridge to consciousness branch. Page in development.
10¹⁵ m Protostellar Documented · Herbig-Haro objects · θ ≈ π/8 · page live.
10¹⁷ m Post-Stellar Documented · Red Rectangle HD 44179 · θ ≈ π/8 · page live.
10²⁰–²⁴ m AGN / Galactic Documented · M87*, Cygnus A, AGN jet survey · θ ≈ π/8 · page live.