A New Field of Nature: Mass Derived from Cosmic Ray Timing

The temporal gap between cosmic rays and gamma-ray bursts directly determines the mass of the proposed Selective Transient Field — no fitting required.

In physics, when you propose a new field, you usually have to fit its properties to match observations. The more parameters you tune, the less convincing the model becomes — you can fit anything with enough knobs to turn.

The Selective Transient Field (STF) is different. Its mass isn't fitted. It's derived — calculated directly from the observed temporal separation between cosmic rays and gamma-ray bursts, using only fundamental constants.

m = (3.94 ± 0.12) × 10⁻²³ eV
STF field mass derived from UHECR-GRB temporal separation
For comparison: electron mass ≈ 511,000 eV
This is approximately 10²⁸ times lighter than an electron

How the Mass Emerges

The derivation is elegant. Cosmic rays arrive an average of 3.4 years before merger. Gamma-ray bursts arrive an average of 71 days before merger. The temporal separation between these two phases — about 3.32 years — represents the time it takes for the STF to transition between production modes.

Key insight: In quantum field theory, a field's mass determines how quickly it can respond to changes. A massive field evolves slowly; a massless field responds instantly. The 3.32-year timescale between cosmic ray and gamma-ray burst production encodes the field's inertia — its mass.

Using the quantum relationship between mass, energy, and time (via Planck's constant ℏ), the observed separation directly determines:

Observed temporal separation
Δt = 3.32 years = 1.05 × 10⁸ seconds
Energy-time uncertainty relation
ΔE · Δt ~ ℏ
STF field mass
m = ℏ / (c² · Δt) = 3.94 × 10⁻²³ eV

Why This Matters

The fact that the STF mass is derived rather than fitted has profound implications:

The Physical Meaning

An ultra-light mass of 10⁻²³ eV has two important physical consequences:

1. Characteristic frequency: The mass determines a natural oscillation frequency via f = mc²/h. For the STF mass, this gives f ≈ 9.5 nanohertz — a frequency that will become important when we look at supermassive black holes.

2. Compton wavelength: The mass determines the field's characteristic length scale via λ = ℏ/(mc). For the STF mass, this gives λ ≈ 0.16 parsec — roughly the scale at which supermassive black hole binaries are known to stall in their orbital decay.

These aren't coincidences. They're predictions — tested in the NANOGrav and final parsec analyses that provide independent validation of the STF framework.

A New Field?

If the STF is real, it would represent a fundamentally new component of nature — a field that couples to the rate of change of spacetime curvature, extracting energy from gravitational dynamics and producing ultra-high-energy particles.

The historical parallel is to Fermi's 1933 theory of beta decay, which introduced a new interaction (later understood as the weak force) with parameters determined by observation rather than fundamental theory. The STF framework is similarly phenomenological — derived from data, awaiting deeper theoretical understanding.

← Read the full discovery story
📄 Original Research: doi.org/10.5281/zenodo.17526550
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