Since this magnetic energy will remain an increasing constant; over time, will the atoms at the set circumference break down and create a black hole?

Question

I understand that Perpetual Motion is frowned upon but, let's say hypothetically such a device is created. This device would have a constant increasing magnetic energy, pulling inward in opposite directions to a precise singular circumference of let's say 3cm. Since this magnetic energy will remain an increasing constant; over time, will the atoms at the set circumference break down and create a black hole?

Answer 1

Energy Density and Magnetic Fields

1. Magnetic Energy Concentration: A constantly increasing magnetic energy focused on a 3 cm circumference implies a progressively stronger magnetic field.
2. Energy Density: The energy density of a magnetic field is given by u=B22μ0u = \frac{B^2}{2\mu_0}u=2μ0​B2​, where BBB is the magnetic flux density and μ0\mu_0μ0​ is the permeability of free space. As BBB increases, so does the energy density.

2. Impact on Matter

1. Atomic Breakdown: Extremely strong magnetic fields can influence atomic structures. For instance, at sufficiently high magnetic field strengths (on the order of 10910^{9}109 Tesla or more), atomic orbitals can become significantly distorted, potentially leading to ionization or other forms of atomic breakdown.
2. Critical Magnetic Field: There's a hypothetical limit known as the Schwinger limit (around 101310^{13}1013 Gauss or 10910^{9}109 Tesla) beyond which quantum electrodynamical effects become significant. At these levels, the vacuum can become polarized, potentially leading to pair production of particles from the vacuum itself.

3. Formation of a Black Hole

1. Energy-Mass Equivalence: According to Einstein's mass-energy equivalence principle E=mc2E = mc^2E=mc2, energy can be converted into mass. If enough energy is concentrated in a small enough volume, it can create conditions similar to those found in black holes.
2. Gravitational Collapse: For a black hole to form, the energy density must be sufficient to cause gravitational collapse. This is characterized by the Schwarzschild radius Rs=2GMc2R_s = \frac{2GM}{c^2}Rs​=c22GM​. The mass MMM here would be derived from the total energy contained within the 3 cm circumference.
3. Energy Requirements: To form a black hole with a radius of 1.5 cm (half of the circumference), the energy required would be immense. Calculating this, we find: E=c4Rs2GE = \frac{c^4 R_s}{2G}E=2Gc4Rs​​ Plugging in Rs=1.5R_s = 1.5Rs​=1.5 cm, c=3×1010c = 3 \times 10^{10}c=3×1010 cm/s, and G=6.674×10−8G = 6.674 \times 10^{-8}G=6.674×10−8 dyne·cm²/g², we get: E≈1.35×1047 ergE \approx 1.35 \times 10^{47} \text{ erg}E≈1.35×1047 erg This is an extraordinarily large amount of energy, far beyond current or foreseeable technological capabilities.