@TAbraham I think Rod Vance's answer to your question is spot on - when you really do quantum mechanics, statements like "photons follow a path" become meaningless - if you do not observe a particular path (which you can't), there is no path taken at all. "Wave-particle duality" is a historical concept - today, we just understand quantum objects as having a state in a Hilbert space, being neither "particle" nor "wave".
I think they indeed do not make sense, because they are written by biologists who are basically just retracing the confusing steps that led to the inception of quantum physics - they cling to classical pictures whereever they can. If you read stuff from the "old quantum theory" - what Bohr and Sommerfeld did, for example, it is just as weird and confusing (and, mostly, wrong) from today's viewpoint.
@TAbraham Then I think Mark Mitchinson's answer is what you are talking about - the exact physics of coherence in complicated environments like plants is not fully understood, and an area of open research - and it could be that decoherence is what is described as "taking a definite path" in the sources you are talking about.
I have a couple of questions related to the diagram in the answer by Kyle Kanos to this question, Why is stress a tensor quantity?.
Q1. If the box shown is of finite size why are there not three force components on each of the six faces?
Q2. What happens to the stress tensor when the box shrink...
The post is imagary time a fifth dimension may indeed have been asked before, but the referenced post is not it. That earlier one concerns Hawking's cup to avoid the point in the cone. This one involves the expression of the metric in Minkowsky spacetime.
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@DavidZ: Regarding down votes lasting forever: If down voted posts would remind me they've been updated the way favorited posts do, I'd agree with you that downvoting with the expectation of changing later would make sense. However, without that I'd have to go through my activity history regularly, looking for down voted posts to re-read. Not gunna happen.