Carrots usually take longer than a week to come up for me, sometimes as long as 3 weeks. They take longer to germinate than most other veggies I grow. Give them some more time and they may be fine. I've read they will not germinate if the soil is over 95F. Soil at 40 C would be too hot. (Kinda ridiculous we still use Fahrenheit temps here in the US, in my opinion.) Your could try shading the soil to help keep it cool enough for good germination. Hot air temps don't alway have to result in similar soil temps. Are you planning to grow them to maturity in the pots or intending to transplant them? Carrots do best direct seeded into the spot they are to grow. Roots often are crooked or forked if they are transplanted. If you need to move them be extra careful and try to not disturb the root. I water young carrots and beets in the garden with a nozzle set to a very fine gentle mist. It takes awhile to get them wet enough but keeps the seedlings happily in place.

I determined my garden had a nitrogen depletion, but seemed OK in the other major nutrients (pH, Phosphorous, and Potash), so we added some manure before the current planting (which was 8 weeks ago) but same story- great radishes and anemic carrots and beats. I'd expect after 8 weeks that your radishes would be large and past the best time for harvest. However, the carrots and beets grow slower and would just be starting to look like they were doing something....IF you thinned them early on and kept a decent amount of nitrogen in the soil, very likely not ready for harvest unless you like them very small. Give the beets and carrots a few more weeks and some nitrogen and see what happens. Also, I find that radishes will grow well for me even when the weather is cool. Carrots and beets will only grow slowly in the cooler weather........I've no idea if it is ever cool in San Diego and if this would affect the growth....bet it's never cool compared to here. We still have a foot of snow on the ground, but the sun is shining brightly!

I do close together rows with radishes too- several passes with the seeder in the bed, and then lightly hoe once or twice by just pulling the hoe down the space between rows. Carrots must be handweeded and personally I find straw mulch on carrots, beets and lettuce to be annoying when picking so I just straw mulch legumes and most everything else gets plastic mulch. Because of the handweeding carrots are a more labor intensive crop but at least they don't require much soil amendments. And now my mom weeds and stuff a couple hours per week for me.

"If you post a link to another site they won't recognize the post. " Nonsense!! I do it all the time. In most cases, any problems are user errors and not anything wrong with the site. However, recently double postings have been popping up immediately after posting. Just ignore it, the duplicate post disappears almost immediately. "This site sucks." If you have so much difficulty navigating the site, perhaps just not participating would alleviate your stress........????