Le point de vue d'un LLM et le point de vue d'un photon

Pendant les Utopiales, lors d'une conférence sur la vitesse de la lumière, un des membres du public avait demandé (en se servant de notions qu'on retrouve en effet souvent dans la vulgarisation) si on pouvait encore dire que le temps s'écoule si on était du point de vue d'un photon. Roland Lehoucq lui a répondu que la question était mal posée dans la vulgarisation et qu'un photon allant à la vitesse de la causalité ou la vitesse d'Einstein ne pouvait pas être lui-même un référentiel. 

Je vous demande pardon de contribuer à nouveau à la publicité pour ces outils étranges mais j'ai demandé à un Large Language Model bien connu la même question pour voir si la vulgarisation massive qui l'a formé allait décider statistiquement de sa réponse ou s'il tomberait plus près de la réponse plus rigoureuse donnée par R. Lehoucq. 

Mais en effet une réponse plus précise corrige cette expérience de pensée dès le 3e paragraphe à la fin de cette réponse, il est capable de remettre en cause la formulation même de la question, ce qui est une simulation assez vertigineuse d'une "intelligence" : 

In the framework of special relativity, time dilation occurs as an object approaches the speed of light. As the speed of an object with mass approaches the speed of light, time appears to slow down for that object relative to a stationary observer. However, the situation is a bit different when considering photons. 

Photons, particles of light, travel at the speed of light, c, according to special relativity. According to the theory, time dilation becomes infinite as an object with mass approaches the speed of light. This is because the Lorentz factor, which governs time dilation, contains the term 1−v² /c² , and when v is equal to c, this term becomes zero, resulting in an undefined (infinite) Lorentz factor. 

From the perspective of a photon, if one were hypothetically able to "ride" along with it, the concept of time as experienced by slower-moving observers becomes somewhat undefined. Time dilation suggests that time would appear to stand still for the photon, and its journey from emission to absorption might be instantaneous from its point of view. 

However, it's important to note that the notion of "standing on a photon" is a bit problematic, as photons are massless and do not have a rest frame. They always move at the speed of light and, according to our current understanding, are not subject to the effects of time dilation as experienced by massive objects. 

In essence, the question of what you could measure from the perspective of a photon is somewhat moot, as photons don't have a rest frame or a reference frame in the way that massive particles do in relativity. Special relativity and its time dilation effects are more directly applicable to objects with mass. 

It's also worth noting that the complete behavior of massless particles, like photons, is more accurately described by the framework of quantum field theory, rather than the classical mechanics of relativity. In quantum field theory, the notion of "riding along with a photon" is not well-defined in the same way it might be in classical mechanics.