Imagine that a rival astronomer proposes that your mysterious object is actually the mouth of a wormhole to another dimension. The rival astronomer calculates that the wormhole mouth would need to be 10^13 m in diameter and would last for around a thousand years.

Which one or more of the following observations would disprove the rival astronomer's theory?

Variability on a timescale of 100 seconds

A redshift of 10.3

A spectrum that rises to shorter wavelengths

Jets that are a mega-parsec in length

the last one is wrong

To disprove the rival astronomer's theory that the mysterious object is the mouth of a wormhole, we can examine the following observations:

1. Variability on a timescale of 100 seconds: If the object shows significant variability in its properties, such as brightness or spectrum, on a timescale of 100 seconds, it would not be consistent with a stable wormhole. Wormholes are expected to have relatively stable properties over time, so this observation would disprove the theory.

2. A redshift of 10.3: Redshift refers to the stretching of light wavelengths towards longer wavelengths, which occurs when objects are moving away from us. A redshift of 10.3 would suggest that the object is extremely distant and receding at a high velocity. If the rival astronomer's theory proposed a wormhole mouth in our own universe, a redshift of this magnitude would not be expected. Therefore, this observation would also disprove the theory.

3. A spectrum that rises to shorter wavelengths: The spectrum of an object refers to the distribution of energy or intensity as a function of wavelength. If the spectrum of the mysterious object shows a consistent rise towards shorter wavelengths (blueward), it suggests phenomena like a strong gravitational pull or high-energy processes in the proximity of the object. A stable wormhole mouth would not exhibit such features in its spectrum. Therefore, this observation would also disprove the rival astronomer's theory.

4. Jets that are a mega-parsec in length: Jets are narrow streams of high-energy particles emitted by some astronomical objects. If the mysterious object has jets extending over a mega-parsec (millions of light-years), it would indicate the presence of an active galactic nucleus or a powerful relativistic jet source—not consistent with a wormhole. Thus, this observation would also disprove the theory.

To disprove the rival astronomer's theory, we need to look for observations that are inconsistent with the properties expected from a stable wormhole, such as variability on short timescales, extreme redshift, a spectrum that rises to shorter wavelengths, or the presence of ultra-long jets.

To disprove the rival astronomer's theory about the mysterious object being a wormhole, we need to consider each observation and assess if it contradicts the characteristics of a wormhole mouth. Let's evaluate each option:

1. Variability on a timescale of 100 seconds:
Observing variability on such a short timescale would be inconsistent with a wormhole. Wormholes are hypothetical structures that provide shortcuts through spacetime, and their behavior does not involve rapid changes or fluctuations within seconds. Therefore, this observation would indeed disprove the wormhole hypothesis.

2. A redshift of 10.3:
Redshift refers to the stretching of light waves caused by the expansion of the universe. It is not directly related to the existence of a wormhole. Therefore, a redshift measurement alone cannot disprove or support the wormhole theory.

3. A spectrum that rises to shorter wavelengths:
If the spectrum of the object rises to shorter wavelengths, it suggests a blue shift, which occurs when an object is moving towards us. As with the redshift observation, this alone does not disprove or support the wormhole theory.

4. Jets that are a mega-parsec in length:
The presence of jets with a length of a mega-parsec (one million parsecs) is more in line with phenomena observed in active galactic nuclei or quasars. Wormholes do not typically exhibit such characteristic jets. Therefore, this observation would also disprove the wormhole hypothesis.

In summary, both variability on a timescale of 100 seconds and the presence of jets that are a mega-parsec in length would disprove the rival astronomer's theory that the mysterious object is a wormhole mouth. The redshift and spectral behavior would not directly contradict the wormhole hypothesis on their own.