If you rrrrrreally want safe, there are vitamin C based developers for film and (I'm guessing) paper.
Maybe the best film developer from a hyper safe point of view might be Caffenol C a vitamin C and instant coffee developer. Not kidding. Instant coffee has developing agents, and vitamin C is one too.
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Quoting from:
http://silent1.home.netcom.com/Photography/Dilutions and Times.html
"Caffenol C film developer
Household metric
Water 8 oz 450 ml
Arm & Hammer Washing Soda 2.5 tsp (level) 2 g
Ascorbic Acid or Erythorbic Acid (97%) 1 g* 2 g
Folger's Coffee Crystals 4 tsp (slightly rounded) 8 tsp
Mix soda until completely dissolved and solution is clear.
Add coffee, mix until all grittiness is gone and solution is uniform, let stand 5-10 minutes until microbubbles clear.
Use within 30 minutes.
*1 g = approx. 1/4 tsp
Use undiluted
Starting point development time: 12 mins
Notes: Expect slight film speed increase (1/3 to 2/3 stop) and little or no stain. Reduce agitation to eliminate flow marks."
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perhaps someone else knows a vitamin C based paper developer w/o and metol, phenidone, or dimezone etc in it ... ?
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stop is vinegar - no issue with that.
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Fix, use plain hypo. Sodium Thiosulfate. Hypo is used in swimming pools to adjust the ph or some such. I don't imagine it should be a problem.
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Sodium Sulfite? Do I remember correctly that it is used in canning food? Or am I thinking of something else? Anyhow, sulfite is near ubiquitous in processing chemistry. By itself it is a good washing agent. Also used in, ummm, 99% of developers. Shows up in virtually every category of processing solution.
Use nitrile gloves or similar and or tongs to keep hands out of chemicals. Belt and suspenders approach.
Best,
C