Published November 11, 2025 | Version v5
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Principle of Least Information(PLI) Grand Unification:\\ Involving a 7-Dimensional Two-Time Theory with a Polarization-Invariant Auxiliary Time and Janus Seam

Description

We present a synthesis of a 7-dimensional Janus two-time framework equipped with a
compact T 2 sector and governed by a Principle of Least Information (PLI). An auxiliary time
involves a polarization-invariant plane (t, τ ) with a radial positive-definite covariance; under
any polarization one can reconstruct a complex Hilbert space (via OS/GNS) and a completely
positive trace-preserving (CPTP) influence map arising from a Hubbard–Stratonovich (HS)
quasi-free environment. Within an increment-stability class, PLI selects Gaussian laws
and sparse completely-monotone (CM) memories; strong positivity yields the Born rule,
forbids third-order interference, and supports a posterior-sampling selection rule that is
Born-correct, no-signalling, and MDL-feasible. The 7D reduction still recovers GR exactly on
observable slices with fixed c and G, and the SM gauge sector with near-exact electroweak-
scale couplings from a minimal set of compact geodesics and integers. We summarise crisp
laboratory, table-top, and astrophysical signatures and state updated unification theorems.

The Appendices are brief and mostly fleshed out in seperate publications you can find linked under Related Works. All can be found under the group identifier of "Part of 7D PLI 2t Grand Unification Model".

Notes

In "Development History of the 7D 2t PLI Janus model."

We assemble a detailed, primary-source history of the Janus–PLI framework: a seven-
dimensional (7D) two-time (2t) model in which a Principle of Least Information (PLI) selects
both geometry and dynamics. The timeline traces the shift from early variable-c probes
to the axiomatic PLI regime; we list every parameter choice (what, when, why) and how
each was fixed by minimal discrete data on a compact T 2. We also explain and justify
the mid-band 1/r trans-brane influence—a scale-window modification of the gravitational
response derived from a derivative-suppressed kernel consistent with PLI—and we state
why 8D or larger models were not chosen. Throughout, we cross-reference the three source
documents: the long notebook/transcript, the Paper A draft (v0.2), and the V14 foundations
note.

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Additional details

Additional titles

Subtitle
Theory of Everything
Alternative title
Grand Unification
Alternative title
Quantum Gravity
Alternative title
Unified Field Theory
Alternative title
Quantum Mechanics
Alternative title
Cosmology
Alternative title
Theoretical Physics
Alternative title
Development History of the 7D 2t PLI Janus model
Alternative title
General Relativity

Identifiers

Other
Part of 7D PLI 2t Grand Unification Model

Dates

Submitted
2025-11-05
Submitted pdf