In principle, for most employers, age should not matter. That's because age discrimination is usually frowned upon and many employers want to say that they don't discriminate for that reason. Example.
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However, if you seek such a career move, there'll be questions you need to answer:
- Why are you seeking a career change?
- What can you actually do?
The first should be straightforward to answer. The second is not so simple. Considering the age, you are probably also seeking a more senior role (or at least you want to be paid more). That means you are competing against other people who have had several years of experience in whatever position you're applying for. Why should they hire you? Can you demonstrate that your experience in academia allows you to exceed what your competitors offer? "I can learn it quickly" might be true, but it's also not sufficient.
Example: say you're interested in data science, which is certainly something that many physics PhDs go on to do. Here's an example of a job advertisement in that domain (nothing special about this advertisement, it's simply the first one that popped up when I did a search). Note the requirements:
Requirements:
- 6-8 years of experience in data science; preferably in B2B industry
- Excellent modelling experience including but not limited to deep learning and natural language processing
- Familiar in handling time series data, machine learning framework and in-depth understanding of data processing and feature engineering techniques
- Strong knowledge in Python and SQL
- Excellent communications and interpersonal skills
- Ability to interact positively and professionally at all levels
As a postdoc you definitely do not have experience in the B2B industry, immediately putting you at a disadvantage. The advertisement also asks for 6-8 years of experience as a data scientist, which some of your competitors definitely will have. You might have it too, if you've been working on data science projects in physics for 6-8 years (have you?). If you haven't, then it becomes very difficult for you to get this job.
If you do have the 6-8 years experience, then there's the next hurdle. The advertisement asks for experience in deep learning and natural language processing. Did your data science projects include these topics? I can see deep learning, but NLP seems rather unlikely in physics. Again, that puts you at a disadvantage. Even if you can learn it quickly, you don't have any examples of delivered projects you can cite at an interview.
As you can see, it's not easy to get a job in data science, but it's not because you're old. It's because you probably don't have the experience that your competitors do. It's not dissimilar to how it's hard to get a job in particle physics when your entire physics career has been in condensed matter physics.
Having said that, there will be jobs where the ability to "do physics" is a key part, and for those jobs your physics PhD will be squarely relevant. Offhand, the first one that comes to mind is teaching, both as a school teacher or as a private tutor.