It has come to my attention that Google Scholar has indexed one or more revisions of “An augmented canonical gravity wave.”

As of today, this is the simplest explanation I can possibly give, based on that earlier work:

12/5/2019 – RindlerMonopole (v2) (v1 8/4/2019) – (Zipped because WordPress does not permit *.nb files by security defaults.)  This is a modification to Rindler metric which contains gravity monopole waves. This is likely the simplest possible form of this wave.

2/3/2021 – Monopole Waves In General Relativity (v4) (v3 2/8/2020) (v2 12/6/2019) (v1 8/15/2019) – This is a preprint of a paper explaining the above notebook. The paper is subject to change.

I am an unaffiliated hobbyist who completed his graduate coursework in physics, but I did not finish my graduate degree due to health related reasons. The paper is in earnest, but this is a work in progress. The Mathematica notebooks given below are easier to update than the paper, and I’ve attempted to make them readable to someone at a graduate student level in physics. I’ve attempted to officially publish with journals of repute in the past, but the work was admittedly undeveloped. It’s proved fruitful, though, and I intend to attempt to publish again when the hypothesis is fully developed.

I apologize if this is generally unprofessional. I lack virtually any feedback. Any commentary whatsoever on the research is welcome, and I may be contacted at

I continue to work on this. Here are some concise Mathematica notebooks:

  • — (Zipped *.nb due to exceeding 2MB) — We allow the Schwarzschild radius to become a parameter that can locally vary in space, as a test variation to the Einstein-Hilbert action. (The motivation is Feynman path integral quantization.) If gravity waves can be described as an oscillation in the apparent Schwarzschild radius that travels out from the black hole at the speed of light, every possible momentum and energy conserving system of black holes and gravitons are global vacuum solutions (although the treatment follows from the action rather than the field equations). (Here’s an example of what the work has looked like in the past, as near the time the original paper was written:
  • — (Zipped *.nb due to exceeding 2MB) — This modifies Reissner-Nordström metric (for a charged black hole). This is a model where the graviton can carry charge, but the treatments is limited to fixed, extremal ratio of mass to energy, for simplicity. Reissner-Nordström appears to have degenerate modes which are analogous to Schwarzschild. 
  • GravityTemperatureV3 (v2) (v1) — (Updated 10/21/2018) These are some basic thermodynamic and cosmological considerations about the gravitational radiation of our treatment, if we assume that Kerr and Kerr-Newman lead to analogous sets of radiating vacuum solutions, as the notebooks above.

These are archived drafts of the original preprint: An augmented canonical gravity wave (v3) (v2) (v1) .

The change introduced in (v4), (and repeated in (v5),) regarding simulated waves, was based on a software bug. However, the simulation has since been updated to give a cleaner, more accurate overall treatment of both black hole evaporation, as per the above work, and for use in making video games with Unity, “just for fun.” I am speaking of my fork of OpenRelativity, originally by the MIT Game Lab, though I have no affiliation with or endorsement by them in any regard. I have added handling for Einstein’s equivalence principle for player acceleration, player angular velocity, and applied quasi-Netwonian gravitational acceleration. I inverted the original project’s relativistic shader, which allowed me to incorporate nontrivial mechanics, including collision. I’ve also made many computational and some physics “tweaks,” to fine-tune and optimize the project, and I have added fairly extensive lighting effects. I invite criticism on my work on OpenRelativity, as well:

Perhaps most notably, I am lead developer of the Qrack quantum computer simulation framework:

The framework incorporates every major published optimization we could find, including many of our own, from our team of two enthusiasts. The framework is parallel, GPU-accelerated, fundamentally optimized by some novel algorithmic approaches, and has included experimental multiprocessor engine types. We have written an extensive unit test suite, and we have included example algorithms, including the algorithms due to Grover and Shor. It even runs on the Raspberry Pi 3, both ARM7 and VideoCore GPU. We have also applied the framework in a quantum super set of MOS 6502 assembly, which is geared toward “amplitude amplification” algorithms, like Grover’s search.

Thank you for your interest.

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