ZeqShift

Purpose. ZeqShift is the temporal bridge between the Unix epoch (1-second ticks) and Zeqond time (0.777-second ticks at 1.287 Hz). Every other Zeq protocol assumes Zeqond time internally; ZeqShift is how the outside world talks to it without losing phase.

What it does

ZeqShift implements the Zeqond ↔ Unix synchronization equation verbatim:

t_Zeq    = t_Unix / 0.777 + φ_epoch
φ_current = ((t_Unix mod 0.777) / 0.777) × 2π

Convert in either direction. Convert single timestamps or batches. Convert with or without the phase overlay. Round-trips are lossless to within floating-point precision.

When to use it

Any time you need to feed a wall-clock timestamp into Zeq (for example, scheduling a computation to fire at a specific HulyaPulse phase), or any time you need to translate a Zeq result back into a timestamp humans and existing systems can read. ZeqShift is also what stamps zeqond and phase fields onto receipts and snapshots.

How to call it

Unix → Zeqond

curl -X POST https://api.zeq.dev/v1/zeqshift/unix-to-zeq \
  -H "Authorization: Bearer $ZEQ_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{ "unix": 1775692800 }'

Zeqond → Unix

curl -X POST https://api.zeq.dev/v1/zeqshift/zeq-to-unix \
  -H "Authorization: Bearer $ZEQ_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{ "zeqond": 2285318404.12 }'

Current phase

curl https://api.zeq.dev/v1/zeqshift/now \
  -H "Authorization: Bearer $ZEQ_API_KEY"

Response fields

Field	Type	Description
unix	number	Unix seconds
zeqond	number	Zeqonds since Unix epoch
phase	number	HulyaPulse phase φ ∈ [0, 1)
phase_rad	number	Phase in radians ∈ [0, 2π)