T4G Unchained
Developer Respository for Topological 4-Geon Theory
Here you can (soon hopefully) find a bunch of scripts for numerical exploration of T4G Theory. This is a physics theory hackers repo. We also host a website for theory discussions.
Background to T4G
T4G theory postulates the elementary particles of the Standard Model for physics are topologically non-trivial regions of spacetime. This is distinct from the string p-brane model where the particles are not part of spacetime but rather embedded in spacetime as fields. T4G is, unlike string theory, not a field theory, it is a particle theory. Fields are emergent in T4G theory, and are a result of collective dynamics of the 4-geons. In T4G the fundamental (and only) quantum postulate is the 4-geon postulate (all elementary particles are topologically non-trivial regions of spacetime).
4-geons are 4-dimensional, which means they are different to Wheeler-Misner 3-geons. Every 4-geon contains a possible closed timelike curve. But these CTCs are not traversable by any ordinary matter, which preserves quantum no-signalling. T4G theory implicitly preseves monogamy of entanglement, because tripartite or higher genus wormhole topologies are not statically stable.
The basis for T4G theory is the ER=EPR Conjecture of Maldacena and Susskind, which postulates that an Einstein-Rosen bridge (wormhole) is equivalent to entanglement (Einstein-Podolsky-Rosen correlation). However, unlike Susskind (who thinks QM => GR), T4G theory goes in the reverse direction: we seek QM from GR, not GR from QM. So T4G theory assumes the wormholes are what's most fundamental, not entanglement (though they're the same thing).
The basic problem is that if minimal no-signalling wormholes account for entanglement, they should (morally) account for superposition too, and hence all the rest of standard orthodox quantum mechanics. This is a problem because T4G is almost a classical theory, a minimal extension of GR to non-trivial spacetime topology --- which implies existence of closed timelike curves (CTCs) on at least the Planck scale. It is an open question, the big question, whether or not GR + CTCs can account for all quantum mechanical phenomenon. In a slogan: T4G theory says (GR+CTC => QM).
For more theory read the T4G Unchained website.
Adding content
If you want to contribute, ask me (Bijou Smith) for access. You'll need to establish personal trust first (or hack my account LOL, either way I do not mind).
Usage
Still working on the first numerical simulations of 3-geons (2-space + time). No deadline or release date yet set (no funding).
Support
To hep push this project forward please consider donating cash. No crypto accepted (a ponzi scam, all of it).
Roadmap
- 3-geon simulations for two-slits.
- Theory development --- U(1)xSU(2)xSU(3) from the graded spacetime Clifford algebra.
- Derivation of Feynman--Hibbs sum-over-histories from T4G postulates.
- Develop links to fractal spacetime approaches.
- Develop links to quantum information theory formulations (Hardy, Masanes, Müller, et al).
In the latter, see Masanes, et al., 2013, Existence of an information unit as a postulate of quantum theory and L. Hardy, 2016, Reconstructing quantum theory for example.
Where this all leads depends upon the viability of T4G theory remaining open. It is possible someone could come along and provide a hard no-go theorem ruling out the T4G axioms.
Contributing
You might consider:
- Other numerical simulations.
- Mathematical theory development.
- Furthering some of the philosophical developments.
Authors and acknowledgment
We (Dr Bijou Smith and the T4GU team) are forever in debt to Dr Mark Hadley at Warwick University for getting the 4-geon theory ball rolling back in the mid 1990's. We'd also like to thank Curt Jaimungal for asking questions which prompted the development of this website.
License
We use the GNU GPL v.3 https://www.gnu.org/licenses/gpl-3.0.html for all code in this repository, unless otherwise specified in the software sources themselves.
We hereby use GNU FDL https://www.gnu.org/licenses/fdl-1.3.html for all documentation on the website.
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Mathematical physicist. Macroeconomics justice activist.