Holographic Decoder

Act I

Here is all you get

We record how the frequency of a star's light changes with time. That is all the information we will use to decode its world.

seed

radial velocity · km/s vs MJD

dataset report

hidden truth

The real orbital parameters the simulator used to generate this light-curve — orbital period, eccentricity, inclination, pericentre angle, systemic drift of the whole system, and the mass of the invisible companion. They are held back. The decoder will be asked to recover them from the light alone, and only then will they be revealed for comparison.

period · eccentricity · inclination · pericentre angle · systemic drift · companion mass

Act II

The classical skeleton

A classical Kepler orbit — the kind Newton would have written down — captures the bulk of what the light is doing. It explains the rising and falling velocity. It finds a period, an eccentricity, an angle. But look at what it cannot explain. What remains after subtracting the Kepler curve is not random noise. It is a coherent wave, locked to the orbit's own rhythm. Something systematic is hiding in the light, and classical mechanics alone has no name for it.

best classical fit

what the classical fit cannot explain

If this were random measurement noise, the points would scatter flatly around zero. They do not. This is the relativistic signal Act III will decode.

scout report

Act III

The relational decoding

The small wave Act II could not explain is not noise. It carries two physical quantities: how fast the star actually moves along its orbit, and how deep it sits inside the companion's gravity well at every instant. The decoder now searches for the single pair of numbers that explains both the classical wobble and the leftover wave at once — and then walks a Markov chain around that point to measure how tightly the data pin the answer down.

running posterior

waiting for the sniper…

speed vs. depth in the gravity well

Horizontal axis: how fast the star moves, as a fraction of light-speed. Vertical axis: how deep it sits in the companion's gravity well. The orbit traces a closed loop that must touch the dashed line at every instant — that is the law that lets the decoder work.

the orbit, as seen from above

The companion sits at the emerald dot. The cyan body traces the star's orbit around it. Each pass is slightly rotated from the one before — the same relativistic precession Einstein first computed for Mercury, now recovered here from the light signal alone. The purple ray points to the closest approach of the current revolution.

decryption invariant

—

A single closed-form identity, evaluated against the observed redshift extrema. Its residual is the distance between R.O.M. and the data. As MCMC converges, it collapses to measurement noise.

reveal

Act IV

What just happened

We started with one number drifting over time — the frequency of a star's light. We finished with its orbit, eccentricity, period, Schwarzschild radius, pericentre, and century of precession.

The only constant used was c. Newton's G and the companion's mass M never entered the fit. The legacy mass in the last row is a translation, computed after the fact from M = R_sc²/(2G).

The reconstruction rests on one relation — κ² = 2β² — and one closed-form identity applied to the observed redshift extrema (see Sidestepping the M sin i Degeneracy in WILL_RG_I).

SPACETIME ≡ ENERGY