61trust / 100

Relativity

by Physics Calculators in Other

x402 APIPassing, checked 5 h ago

Special relativity: Lorentz factor, time dilation, length contraction, total and kinetic energy and momentum at a given speed.

GET
https://physics-calc.x402tookit.com/relativity
Price
$0.02
per call in USDC
Uptime
64.3%
last 30 days
Response time
536 ms
893 ms slowest 5%
Last check
Passed
5 h ago, next in 51 min

Run a free test callHow to call it

Reliability

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Status and outage history · Atom feed · Watch with other listings

How to call it

GET https://physics-calc.x402tookit.com/relativity

Each call costs $0.02 in USDC on Polygon, paid with the request over x402.

Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.

Example request

From the listing.

GET https://physics-calc.x402tookit.com/relativity?beta=0.8&properLengthM=100&properTimeS=10&restMassKg=1

Parameters

ParameterTypeRequiredDescription
betanumberNoSpeed as a fraction of the speed of light, 0 to 0.999999999 (give this or speedMS)
properLengthMnumberNoLength of the object at rest, metres
properTimeSnumberNoTime elapsed on the moving clock, seconds
restMassKgnumberNoRest mass in kg, for energy and momentum
speedMSnumberNoSpeed in m/s (alternative to beta)

Example response

The provider's example. We can't check it without paying.

Example response, 31 lines
{
  "asOf": "2026-10-11T08:56:13.797Z",
  "beta": 0.8,
  "contractedLengthM": 60,
  "degraded": false,
  "dilatedTimeS": 16.66666667,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "kineticEnergyJ": 59917011920000000,
  "lengthContractionFactor": 0.6,
  "lorentzFactor": 1.666666667,
  "momentumKgMS": 399723277.3,
  "notChecked": [
    "general relativity: gravity, acceleration and curved space-time are not included",
    "acceleration phases (the twin-paradox turnaround): only constant-speed inertial motion",
    "…1 more"
  ],
  "reasons": [
    "gamma = 1 / sqrt(1 - beta^2); t = gamma t0; L = L0 / gamma; E = gamma m c^2; K = (gamma - 1) m c^2; p = gamma m v.",
    "c = 299792458 m/s exactly (CODATA 2018)."
  ],
  "relativisticKineticMinusClassical": 31156846000000000,
  "restEnergyJ": 89875517870000000,
  "restEnergyMeV": 5.609588604e+29,
  "source": "computed locally",
  "speedMS": 239833966.4,
  "summary": "gamma = 1.666667; 10 s on the moving clock is 16.66667 s for a stationary observer; 100 m at rest measures 60 m along the motion; total energy 149792500000000000 J (kinetic 59917010000000000 J).",
  "timeDifferenceS": 6.666666667,
  "totalEnergyJ": 149792529800000000,
  "totalEnergyMeV": 9.34931434e+29,
  "verdict": "COMPUTED"
}

Call it from code

The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.02.

curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://physics-calc.x402tookit.com/relativity?beta=0.8&properLengthM=100&properTimeS=10&restMassKg=1'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://physics-calc.x402tookit.com/relativity?beta=0.8&properLengthM=100&properTimeS=10&restMassKg=1' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode
JavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fphysics-calc.x402tookit.com%2Frelativity
const res = await pay("https://physics-calc.x402tookit.com/relativity?beta=0.8&properLengthM=100&properTimeS=10&restMassKg=1");
console.log(res.status, await res.text());
Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://physics-calc.x402tookit.com/relativity?beta=0.8&properLengthM=100&properTimeS=10&restMassKg=1")
    print(res.status_code, res.text)

Security scan

No findings

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Recent checks

WhenResultHTTPTimePrice
5 h agoPassed402536 ms$0.02
18 h agoPassed402537 ms$0.02
2 days agoExpected HTTP 402, got 530530200 ms-
3 days agoExpected HTTP 402, got 530530134 ms-
5 days agoExpected HTTP 402, got 53053088 ms-
Show 9 older checks
5 days agoExpected HTTP 402, got 530530170 ms-
5 days agoExpected HTTP 402, got 530530196 ms-
5 days agoPassed402507 ms$0.02
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6 days agoPassed402689 ms$0.02
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7 days agoPassed402467 ms$0.02