Causality · hypothetical signals

Faster than Light

What would a hypothetical signal faster than light permit, and what would rule it out? The Einstein Audit examines how assumed signal speeds, observer motion and response times affect causal loops. It also explores a separate illustrative field model with a preferred time.

GitHub methods overview · 2 October 2026

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Research status

This is working-hypothesis and methods research. No faster-than-light communication has been detected or physically demonstrated by this work, and no completed strict observational FTL constraint or external peer review is documented. Mathematical checks establish what follows from specified assumptions; they do not establish that nature provides the assumed signal.

What the public work examines

Reply delays and causal loops

A causal loop would let a modeled reply reach Alice before she sends the first message. The public calculation includes a finite waiting time before Bob replies. Under the stated signaling rule, waiting narrows the loop-capable region but does not eliminate it at every possible relative observer speed.

Different outbound and return speeds

The two assumed signal speeds can differ. With a reply delay, swapping them can change whether a loop occurs. The work derives the conditions for a cap on observer motion to exclude the modeled loop, and separates the cost of moving a massive observer from the unknown cost of producing an FTL signal.

A separate preferred-time exercise

If every available signal and relay advances one common global time, a causal chain cannot return to its starting event. A separate free scalar model explores that rule and checks its classical energy and stability in the chosen preferred time. Its propagation and timing results are conditional on the model’s equations; no physical production, detection or interacting completion is supplied.

Reproducible mathematical checks

Public scripts record the assumptions, parameters, outputs and internal audits. The archive-verification note also recovers older public methods packages and runs a synthetic software check. These checks distinguish mathematical and software results from observations and external peer review.

Assumptions and open questions

The causal-loop calculations assume controllable signals in specified inertial frames. The preferred-time exercise changes that operational rule and remains an illustrative free model. A physical signal mechanism, an interacting quantum theory and a completed strict analysis of authenticated observational inputs remain missing. Links to pulsar and black-hole observations do not by themselves connect those observations to FTL.

The proposed Einstein audit combines chosen diagnostic quantities. Its unit-ball boundary is not a calibrated discovery threshold, and satisfying it is not evidence that FTL exists. HDBLAST and the other programs in this directory retain their own assumptions and evidence.

Read the source materials

The dedicated FTL repository contains the current public methods and the preserved historical research account.

Archives and citation

The live archive check dated 1 October 2026 Pacific / 2 October UTC identified v1.2.1 as the latest published release in the cited FTL family. It is a methods and protocol release published on 15 May 2026. The subsequent methods dated 1 October Pacific / 2 October UTC are published on GitHub separately from that archival package; they are not a new Zenodo release or an empirical FTL result.

Original overview prepared from the merged public FTL documentation on 2 October 2026. Consult the cited source version for full assumptions, qualifications and reuse terms. Internal AI-assisted audits are not independent human peer review. Author: Ricardo Maldonado.