notes on signal propagation in non-euclidean media

last updated: 2026-03-29 · starbased.xyz · physics radio signal-theory

This page collects working notes on anomalous signal propagation. Most of this is speculative. Some of it is redacted.


1. Theoretical framework

Standard electromagnetic theory assumes signal propagation through Euclidean space at c. However, observations at Station 7 suggest that certain low-frequency transmissions (<50 Hz) exhibit path lengths inconsistent with the known distance between transmitter and receiver.[1]

The discrepancy is small — typically 0.003% to 0.12% — but consistently negative, meaning the signal arrives faster than light-speed would permit over the measured geometric distance. Three explanations have been proposed:

  1. Measurement error in the baseline distance (ruled out by laser ranging)
  2. Atmospheric ducting creating a shorter effective path (inconsistent with observed frequency dependence)
  3. The medium itself has non-Euclidean metric properties at the relevant scale

We pursue explanation (3).

"The map is not the territory, but what if the territory has a different number of dimensions than the map has room for?" — Voss, 2024 (unpublished)

2. Field observations

Seven measurement campaigns were conducted between October 2025 and February 2026. Equipment: modified Collins 75A-4 receiver, rubidium frequency standard, GPS-disciplined clock.

▸ Observation log (click to expand)
DateFreq (Hz)Distance (km)Δt anomaly (ns)Notes
2025-10-1427.3847.2-12.4Clear night, no solar activity
2025-11-0231.7847.2-8.1Moderate aurora
2025-11-3022.0847.2-18.7Deep solar minimum
2025-12-1544.1847.2-3.2Snowstorm, high humidity
2026-01-0819.5847.2-22.1Strongest anomaly recorded
2026-01-2238.01204.8-15.5Second baseline, mountains
2026-02-1425.0847.2-14.0Repeated Oct measurement

The inverse frequency dependence () is the key signature. If this were simple measurement error, we would not expect systematic frequency dependence.


3. Mathematical model

We model the propagation medium as a Riemannian manifold with metric perturbation where is the standard Minkowski metric and is a small frequency-dependent correction.

The effective path length becomes:

where is the geodesic in the perturbed metric. Expanding to first order:

The key insight is that need not be positive-definite. If the perturbation is sourced by the signal itself (a self-interacting field), we get the observed negative path-length correction.

▸ Full derivation (click to expand)

Starting from the action for a scalar field in curved spacetime:

The equations of motion yield a modified dispersion relation:

which gives the observed scaling for the anomalous velocity. The coupling constant can be extracted from the data: .


4. Network topology

The measurement stations form a directed graph. Signal path anomalies appear only on certain edges, suggesting the non-Euclidean region is localized.

    Station 1 (Maren)              Station 4 (Relay North)
         ◉─────────────────────────────◉
        ╱│╲                          ╱   ╲
       ╱ │ ╲          ██████        ╱     ╲
      ╱  │  ╲       ██ DEAD ██    ╱       ╲
     ╱   │   ╲     ██  ZONE  ██ ╱         ╲
    ◉    │    ◉────██████████████──────────◉
 Sta 2   │   Sta 3                      Sta 5
(Outpost)│  (Ridge)                   (Terminus)
         │
         ◉
      Sta 6
    (Deep Signal)

  ─── normal propagation (c)
  ═══ anomalous path (< c travel time)
  ███ region of metric perturbation

5. Experimental data

Raw timing residuals plotted against frequency. [Interactive: hover over the plot]

Fig. 1: Timing anomaly (ns) vs. frequency (Hz). Dashed line: best-fit 1/f² model. Move cursor over plot for values.


6. Signal visualization

Real-time rendering of the anomalous signal pattern. [This is live — it's being generated right now.]




7. Discussion

Leave a note. No login required. Be civil.[2]

anon_7f3a: has anyone tried reproducing this with a different receiver?
maren_s7: we used three different receivers. results consistent within error bars.
voss: the coupling constant is suspiciously close to 1/137. coincidence?
anon_d2c1: have you considered that the "dead zone" might be an artifact of the terrain?
deep_signal: it's not an artifact. we've been inside it.
5 older messages hidden

8. Footnotes

[1] Station 7 is a decommissioned shortwave monitoring post, repurposed for this experiment. Its exact coordinates are withheld for security reasons.

[2] Messages are stored in your browser's localStorage. They are not transmitted anywhere. This is intentional.


source: starbased.xyz · generated with plain html, no css framework ·