✦ Post #13 · Part III Ch. 1 §1.3 · Cross-Validation No. 2
Part III — Gravity: Not a Pull — a Flow
Gravity Redefined:
Centripetal Buoyancy
and v_GW = c
Why gravitational waves travel at the speed of light — because they are pressure disturbances in the Space Fluid, propagating at its sound speed
Series progress — 13 / 26 posts · halfway
§ 1.3 — Definition
What Is Centripetal Buoyancy?
Post #12 declared Theorem 3 and reproduced F = −GmM/r² from Bernoulli's equation. Now we define the GF-HR concept that replaces "gravity" precisely.
Definition 4 · GF-HR
Centripetal Buoyancy
In everyday physics, buoyancy is the upward force on a low-density object immersed in a denser fluid — Archimedes' principle. In GF-HR, Centripetal Buoyancy is the same principle acting radially inward. The cosmic background pressure P₀ pushes matter inward toward the Bernoulli low-pressure zone formed around a rotating massive body.
F_CB(r) = −(P₀ − P_local(r)) × A_eff
= −½ρ_s · v(r)² × A_eff
F_CB: centripetal buoyancy (inward) / P₀: background pressure / P_local: local pressure
A_eff: effective cross-section of the object / v(r): fluid rotation speed at distance r
= −½ρ_s · v(r)² × A_eff
F_CB: centripetal buoyancy (inward) / P₀: background pressure / P_local: local pressure
A_eff: effective cross-section of the object / v(r): fluid rotation speed at distance r
The key: no "pulling" force (attraction) exists. Only the push from high pressure (far away) to low pressure (near the mass) is real. What we feel as "gravity" is the cosmic space above us pressing us down onto Earth's surface.
§ 1.3 — Core Derivation
Gravitational Wave Speed = c: Why the Same as Light
In 2017, the neutron star merger GW170817 confirmed observationally that v_GW = c — gravitational waves and light arrived within 1.7 seconds of each other over 130 million light-years. This matched Einstein's General Relativity exactly.
In GF-HR, this result follows automatically with no additional assumptions.
Gravitational wave speed derivation (3 steps)
Step 1 — What is a gravitational wave? (GF-HR interpretation)
Gravitational wave = pressure perturbation
propagating through the Space Fluid
propagating through the Space Fluid
In GF-HR, gravity is a pressure gradient (Bernoulli sink). When a gravitational source changes rapidly (black hole merger), the surrounding pressure distribution is disturbed. This disturbance propagates through the Space Fluid as a wave.
Step 2 — Pressure disturbances propagate at the speed of sound
v_pressure_wave = a_medium (sound speed of the medium)
This is a fundamental principle of fluid mechanics. A pressure disturbance (sound, shock wave) in any fluid propagates at that fluid's speed of sound. Sound in water travels at ~1,500 m/s; sound in air at ~340 m/s. The Space Fluid is no different.
Step 3 — Apply Axiom 2: Space Fluid sound speed = c
Sound speed of Space Fluid = c (Axiom 2)
─────────────────────────────
∴ v_GW = c ✓
─────────────────────────────
∴ v_GW = c ✓
The sound speed of the Space Fluid is c (Axiom 2). Therefore its pressure disturbances (gravitational waves) propagate at c — automatically. No additional assumption needed. Gravitational waves travel at light speed because both are waves in the same medium propagating at the same sound speed.
§ 1.3 — Cross-Validation No. 2
GF-HR Cross-Validation No. 2: v_GW = c
Cross-Validation No. 2 — Gravitational wave speed
GF-HR derivation
GW = Space Fluid pressure perturbation
Propagation speed = sound speed = c
∴ v_GW = c
Propagation speed = sound speed = c
∴ v_GW = c
≡
Observation (GW170817, 2017)
GW arrival: 2017.08.17 12:41:04 UTC
Gamma-ray arrival: +1.7 sec later
|v_GW − c| / c < 10⁻¹⁵
Gamma-ray arrival: +1.7 sec later
|v_GW − c| / c < 10⁻¹⁵
GF-HR reproduces v_GW = c automatically, with zero additional assumptions.
Same medium → same sound speed → same propagation velocity.
Same medium → same sound speed → same propagation velocity.
Connection to LIGO's "Chirp" — returning to the Preface (#1)
In the Preface, we said the gravitational wave sound captured by LIGO was "the sound of a fluid." Now that intuition is fully backed by mathematics.
Gravitational waves are, literally, pressure waves (sound waves) in the Space Fluid. LIGO's "Chirp" sounded like a fluid because it actually is a fluid sound — a pressure disturbance in the Space Fluid. Sound (pressure wave in air) and gravitational waves (pressure wave in Space Fluid) differ only in their medium. The physics is identical.
§ 1.3 — Unified Resolution
Three Newtonian Mysteries — All Resolved
Newton's gravity had three open questions. Theorem 3 (Centripetal Buoyancy) resolves all three.
1
"Why is gravity an attractive force?" → It isn't.
Attraction does not exist. Cosmic background pressure pushes matter into the Bernoulli low-pressure zone. Newton's "absurd" Action at a Distance was an illusion all along.
2
"Through what medium does gravity act?" → The Space Fluid.
The medium Newton could not identify is the Space Fluid. Gravity is a pressure gradient in this fluid. Gravitational waves are its pressure waves (sound).
3
"Why do gravitational waves travel at c?" → Same medium, same sound speed.
Light and gravitational waves both propagate through the Space Fluid. Same medium means same sound speed. The equality v_GW = c requires no further explanation.
§1.3 Core Insight — Cross-Validation No. 2
v_GW = c.
GF-HR reproduces this automatically. No extra assumptions.
LIGO's "Chirp" was literally the sound wave of the Space Fluid.
GF-HR reproduces this automatically. No extra assumptions.
LIGO's "Chirp" was literally the sound wave of the Space Fluid.
Cross-validation No. 1 (Prandtl-Glauert = Lorentz, #7) and No. 2 (v_GW = c, #13) — both match existing observations exactly. Next (#14): the quantitative knockout — dissolving dark matter with the effective mass integral. The SPARC fitting code has already shown GF-HR defeating NFW 9:1.