The Chandrasekhar limit, not the Schwarzschild solution, predicts a three-dimensional manifold, gravitational singularity.

The Schwarzschild solution of Einstein’s general theory of relativity predicts the physical consequence of the Lorentz factor.

The premeditated application of the tortoise coordinates mathematically cancels the physical consequence of the Lorentz factor

(thereby resulting in a non-relativistic, non-physical, geometric singularity).

 

Whereas 2m = the Schwarzschild radius,

mc = causal velocity mass,

and 1/c = singularity, ​

 

mc = 1/c

2m = mc

2m = 1/c

 

K₂ρ^4/3 ≠ mv/c²

γ = 1/√[1 - (v/c)²] ∝ mv/c²

γ = 1/√[1 - (c/c)²] ∝ mc/c² = 2mG/c²

 

N-dimensional global coordinates correspond to n-dimensional manifolds.

The global coordinate of the three-dimensional manifold is not the global coordinate of the four-dimensional manifold.

As the Schwarzschild radius is the global coordinate of the four-dimensional manifold, the Schwarzschild radius cannot be a coordinate singularity of the four-dimensional manifold.

The singularity of the Schwarzschild radius is the consequence of the Lorentz factor and therefore can neither be tenably removed nor physically obtained.

As spacetime does not curve itself and infinite spacetime curvature cannot arise from a finite curvature agency, contraction to a Schwarzschild radius is physically unobtainable as it is prohibited by the unbounded increase of relativistic kinetic energy (i.e. zero-point energy).

 

""Schwarzschild singularities" do not exist in physical reality...for the reason that matter cannot be concentrated arbitrarily...due to the fact that...the constituting particles would reach the velocity of light."

-Albert Einstein

 

γ = mv²/2 ∝ mv/c²

mc²/2 ∝ mc/c² = 2mG/c² 

γ = mv²/2 🛇 2mG/c²

 

The fact that 2m ∝ c is a condition prohibited by the fact that γ = 1/√[1 - (v/c)²]. 

 

The global coordinate of a sphere cannot be the global coordinate of a hypersphere. Any coordinate system designed to ignore the physical consequence of the Lorentz factor at the Schwarzschild radius is a system of coordinates that fails to correspond to physical spacetime.

 

Violations of physics automatically occur when the global coordinate of a three-dimensional manifold is insisted upon being physically acknowledged in place of the Schwarzschild radius. Such a notion is observably impossible as it requires the physical impossibility of mass at the Schwarzschild radius contracting into zero empty space (via a force of infinite gravitation by which spacetime curves itself). This involves mv/r whereas mv < 2 and r > 2 is the physical condition of mass/energy in spacetime that becomes 1 (i.e. singular) at 2/2 beyond which an increasing mass (mv > 2) must impossibly exceed a decreasing space (r < 2) that can no longer physically contain it. This physical impossibility is the direct consequence of ignoring the Lorentz factor which shows in a reciprocal function that 2/2 can never be reached (as when mv approaches c, m increases towards 2 while r decreases towards 2 and KE increases towards ∞). Contracting a mass to its Schwarzschild radius requires an infinite amount of energy from a finite amount of space. A contained subject cannot match or exceed the dimensions of its containing agent and still be physically contained. Infinities arise when physical limits are ignored. As contraction requires empty space for a subject to contract into, claiming mass to be able to contract into zero empty space is equivalent to claiming to move north of the north pole. Mass cannot contract into a Schwarzschild radius as there is literally zero spacetime for the mass to contract into thereby requiring infinite energy. It is a situation of infinite energy literally appearing out of nothing while the volume of mass literally disappears into nothing as there is literally no physical place for the mass to go.

 

When an unobserved violation of physics is unnecessarily insisted upon as being physically real, the subject is no longer one of physics but is one of magic.