In an ever-evolving global environment, the automotive repair industry is not immune to shifts and transitions. The rise of mobile car mechanics and the technology that supports their operations herald a future that could reshape the traditional understanding of car maintenance and repair. This article aims to dissect the impending changes in this sector, drawing from the fields of law, economics, mathematics, statistics, social sciences, and science to provide an in-depth analysis of the subject matter.

Mobile car mechanics, as the name suggests, are automotive technicians who perform on-site car repairs and maintenance. Equipped with a portable workshop, they provide the convenience of coming to the car owner instead of the owner taking the vehicle to a workshop. This model is transforming the auto repair landscape by offering less downtime, personalized service, and increased transparency.

One of the significant factors driving this trend is the rapid advancement in technology. We are at the brink of a transformative era where the infusion of Artificial Intelligence (AI), Internet of Things (IoT), and Big Data is set to redefine the dynamics of several industries, including automotive repair. These technologies offer the potential to automate diagnosis, making it quicker and more accurate. They also enable real-time monitoring of automobile health, allowing for preventative maintenance.

However, this technology comes with its own set of challenges. The risk of cyber threats looms large as cars become more connected, raising legal and ethical questions about data privacy and security. Further, the rapid evolution of this technology could potentially outpace regulatory measures, leading to a legal grey area. Balancing technological advancement with security and privacy will be a crucial aspect of the industry's growth.

From an economic perspective, mobile car mechanics have the potential to disrupt the existing market dynamics. By eliminating the need for brick-and-mortar workshops, they can operate with significantly lower overheads, potentially lowering the cost for customers. Concurrently, this could also lead to increased competition in the market, benefiting consumers through competitive pricing and better service.

This disruption could also impact the labor market within the industry. Traditional roles may become obsolete, and new ones will emerge, necessitating upskilling and reskilling of workers. This raises socio-economic questions about workforce displacement and job security.

While the tradeoffs are inevitable, they also present opportunities for innovation and growth. The mobile car mechanic industry could spur new business models like subscription-based services or the incorporation of renewable energy technologies in mobile workshops, furthering the cause of sustainability.

In terms of the future trajectory, one can speculate that the rise of electric vehicles (EVs) could further fuel the growth of mobile car mechanics. EVs, with their simplified mechanical design and fewer moving parts, are well-suited for on-site repairs. The shift towards EVs could provide a significant boost to this model.

Lastly, from a statistical perspective, the rise of mobile car mechanics fits well within the broader trend of on-demand services. Consumer preference is increasingly leaning towards services that offer convenience, speed, and transparency. As per a study by McKinsey, the on-demand economy is growing at an exponential rate with an annual growth rate of 7.6%.

The future of mobile car mechanics is a fascinating confluence of technology, law, economics, and socio-cultural trends. It is a testament to the fact that no industry operates in isolation - the shifts in one have a ripple effect on the others. As we move towards this future, the ability to adapt, innovate and navigate through the challenges will determine the industry's success. While the road ahead may be marked with uncertainties, one thing is clear - the wheels of change are in motion.