Equation 2 · Cosmological Natural Selection: A Theory That Named Its Own Killer
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Symbol Delta_S
Delt is part of the quantity the equation computes from the expression on the right.
Symbol r
r is one of the signed contributions combined to compute the quantity on the left.
Symbol s
s is one of the signed contributions combined to compute the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
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Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
The way you weigh a neutron star from a radio telescope, with no direct access to the star at all, is to time its pulses with enough precision to catch general relativity bending them. In a binary system seen close to edge-on, radio pulses from the neutron star are delayed by a few extra microseconds each orbit as they pass close to the companion star, because the companion’s gravity curves the spacetime the pulse crosses. The delay as a function of orbital phase is standardly written . where the “range” parameter r is set directly by the companion’s mass and the “shape” parameter s by the orbit’s inclination. Because r and s are measured independently of the pulsar’s…
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The way you weigh a neutron star from a radio telescope, with no direct access to the star at all, is to time its pulses with enough precision to catch general relativity bending them. In a binary system seen close to edge-on, radio pulses from the neutron star are delayed by a few extra microseconds each orbit as they pass close to the companion star, because the companion’s gravity curves the spacetime the pulse crosses. The delay as a function of orbital phase is standardly written . where the “range” parameter r is set directly by the companion’s mass and the “shape” parameter s by the orbit’s inclination. Because r and s are measured independently of the pulsar’s own mass, and Kepler’s laws already fix the total system mass from the orbital period and velocity, a sufficiently edge-on, sufficiently precisely timed binary hands over both masses at once — no assumptions about the neutron star’s interior required. The catch is precision: resolving a mass difference of a few hundredths of a solar mass means resolving a timing residual measured in tens of nanoseconds across years of observation, which is why the equipment built for this work is built around atomic-clock frequency standards and years of accumulated data rather than any single observation.
Sources cited in the article section
- [10] A Two-Solar-Mass Neutron Star Measured Using Shapiro Delay ↗
- [11] A Massive Pulsar in a Compact Relativistic Binary ↗
- [12] Relativistic Shapiro Delay Measurements of an Extremely Massive Millisecond Pulsar ↗
- [13] Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620 ↗
- [15] PSR J0952-0607: The Fastest and Heaviest Known Galactic Neutron Star ↗
These citations give research context. Read each source to check which claims it supports.
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