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Why do four numbers move together?

Move one small input and watch four numbers change. Each follows its own rule, but all four calculations use the same input.

Step 1 of 7

Begin with the same boundary and matter ingredients.

The boundary normalization is c₃ = 1/(8π). Three families of sixteen give the count 48. The flavour seed reuses these inputs; it is not an independently adjusted number.

1. Boundary normalization and family component count. Keep the two fixed inputs together. c₃ and 48. 2. The fixed normalization and count 48. Compute 1/(6π) and 48c₃⁴. Base + a fixed small correction. 3. The base opening and fixed correction. Add them to obtain the shared seed. u = 0.053171952. 4. u and 1 − u. Multiply, then take the square root. λC = 0.22437624. 5. The shared seed and five slot charge trace 5/6. Apply the fixed exponential factor. sin² θ₁₃ = 0.02310844. 6. The same u and the stated cosmic reading. Compute the rotation and remaining seed budget. β = 0.242435°, Ωb = 0.0489407. 7. The four branches from the fixed seed. Trace their common input. One input, four linked formula outputs.
Arrows carry the named inputs into later calculations. Added inputs stay marked. Reduced motion is on. Use Next step or choose a stage below.
Carry forward
Boundary normalization and family component count
Operation
Keep the two fixed inputs together
Result
c₃ and 48
c3=18π,3×16=48\begin{gathered}c_3=\frac1{8\pi},\\[.4em]3\times16=48\end{gathered}

In words: Keep the two fixed inputs together

Why this step works and what it assumes

The component count refers to the stated even carrier and three family reading. The normalization is part of the declared boundary source.

Read the original calculation
See where this fits in the whole theory
Try the individual controls

Try this. Move the shared seed slider and compare all four numbers. Follow how each responds to the same change.

Change one number. Follow four results.

Move the starting number in the centre. All four formulas use it, so all four results respond to the same change.

0.22438Quark mixing0.02311Neutrino mixing0.24244°Light rotation0.04894Ordinary matter0.05317Starting number
The arrows connect one shared input to four actual formula outputs.

Fixed TFPT starting number: 0.053171952. The slider explores how the formulas depend on it.

The outputs have different meanings and units. The rotation is shown in degrees. Their physical interpretations retain the premises explained in the full calculation.

Begin with the shared input

The construction supplies a small number called the seed. Start at its marked value.

Change it once

Move the seed slider. All four displayed results are recalculated from that one change.

Compare the four responses

Each result uses its own rule. The slider shows their dependence; the marked construction value gives the quoted TFPT results.

Explore the full interactive calculation

Change one seed; follow four consequences

The four readouts reuse u = φ₀. Move an illustrative trial seed and watch their values change together. The fixed TFPT seed is marked on the graph.

φ₀ = 0.053171952
0.6×0.8×1.0×1.2×1.4×0.0350.07Shared seed u · dashed marker: fixed TFPT value
Vertical scale: each output divided by its value at the fixed seed. Three linear maps overlap on this normalized scale. Quark mixing follows a square root and bends away.

Quark mixing λC

λC=u(1−u)\lambda_C=\sqrt{u(1-u)}

The small seed branch combines complementary weights before taking the square root.

At the fixed seed: 0.224376237. At the trial seed: 0.224376237.

The slider is an illustration of dependence, rather than a fit or a replacement for the fixed seed. Each physical readout retains its stated transport, state and cosmological premises. A shared input also makes these outputs correlated.

Follow the original forward and inverse maps

How this fits into the whole theory

The shared input connects particle mixing with the stated cosmic readouts. The detailed mass construction also uses its powers, with additional family rules and coefficients.

What this experiment establishes

Varying the seed compares the stated formulas; the construction itself fixes its seed. A shared input makes the readouts correlated. The boundary phase and baryon density identifications retain their physical conditions, and source mass comparisons retain their scale and scheme.