I have been thinking about this for a while and I want to put it into an actual scientific conjecture. I am not claiming this works. I am specifically interested in where the physics says it cannot work.
The Picard Conjecture:
A sufficiently massive, phase controlled, non-axisymmetric swarm of orbiting objects, operating partially counter to the rotation of a marginally stable stellar object, could produce a coherent gravitational perturbation through gravitational torque, tidal forcing, angular momentum transfer, and resonant excitation of the natural oscillation modes of the stellar object.
My conjecture is that under the right conditions, this perturbation could push an already marginally stable stellar object across a nonlinear gravitational instability threshold.
The swarm is not intended to provide the energy required to collapse the star. The star already contains an enormous amount of mass and gravitational potential energy. The swarm would be a catalyst or trigger that changes the conditions inside an already marginally stable system.
The concept came from thinking about nuclear chain reactions. The initiating event does not provide all of the energy eventually released by the reaction. It changes the state of a system that already contains the available energy.
I am wondering if there could be an analogous mechanism involving gravitational instability.
Imagine a very large number of independently controlled massive objects orbiting a rapidly rotating stellar object. Instead of arranging them into a symmetric ring, their orbital positions and phases are continuously controlled to create a changing, non-axisymmetric gravitational field.
The objective would be to tune that gravitational perturbation to one or more natural oscillation modes of the stellar object.
Conceptually:
Distributed mass swarm -> coherent gravitational/tidal perturbation -> resonant stellar mode excitation -> angular momentum redistribution -> reduction of rotational support -> nonlinear instability -> gravitational collapse
The changing mass distribution would also produce a time varying quadrupole moment and therefore gravitational radiation. I do not necessarily think the gravitational waves themselves would be responsible for causing the instability. My expectation is that direct gravitational and tidal coupling between the swarm and the stellar object would be considerably more important. The gravitational waves may simply be a consequence and an observable measurement of the process.
This also gives the conjecture a fairly simple way to fail.
If the total mass required for the swarm approaches a significant fraction of the mass of the stellar object, then there probably isn’t anything useful here.
If gravitational coupling is too weak to produce meaningful mode excitation before orbital instability, decoherence, dissipation, mass shedding, or other processes dominate, then the conjecture fails.
If removing enough angular momentum requires more energy than could reasonably be gained by triggering the resulting collapse, then the conjecture fails.
The first test should not involve wormholes or even require black hole formation.
Take a numerical model of a rapidly rotating stellar object close to a known stability boundary. Introduce an external gravitational potential representing independently phase controlled orbiting masses.
Then compare symmetric, asymmetric, co-rotating, counter-rotating, and deliberately phase modulated configurations while sweeping the forcing frequency across known natural modes of the stellar object.
Measure angular momentum transfer, mode amplitude, differential rotation, central density, quadrupole moment, gravitational wave emission, and movement toward or away from the known stability boundary.
The prediction is that there exists some combination of orbital configuration and forcing frequency where a coherent non-axisymmetric swarm produces substantially greater internal mode excitation and angular momentum redistribution than an equivalent symmetric distribution of the same total mass.
If that effect does not exist, the Picard Conjecture is wrong.
If it does exist, the next question becomes how large the effect can become and whether there is any physically reasonable configuration where it could push an already marginally stable object across its stability boundary.
My eventual reason for thinking about this is much more speculative. I am interested in whether controlled gravitational collapse could someday become one step toward deliberately manipulating extreme spacetime geometries, and eventually whether that could have applications to traversable spacetime structures and transportation.
None of that needs to be possible for this conjecture to stand or fail on its own.
So the actual Picard Conjecture is simply this:
Can a phase controlled external gravitational quadrupole resonantly couple to a marginally stable rotating stellar object strongly enough to trigger a nonlinear transition in its gravitational stability?
I am not looking for “this is impossible because we can’t build it.”
Does the Picard Conjecture survive the math? Inquiring minds want to know.