Because they use modernist ingredients, these amounts are given in metric by weight. For more information on how to measure modernist ingredients check out this article.
Heat an oven to 350°F (176°C). Toss the pecans with the canola oil and spread out on a sheet pan. Bake for 10 to 20 minutes until lightly toasted. Let cool slightly.
Combine the roasted pecans and the milk in a pot and bring to a simmer. Stir in the maple syrup and remove from the heat. Let the mixture cool some then refrigerate it for at least 12 hours and up to a few days.
Remove the mixture from the refrigerator and strain it to remove any large pieces of nut.
Combine the rum and raisins in a whipping siphon. Seal the siphon, charge it, and shake well. Let the raisins sit for 20 to 30 minutes, either in the refrigerator or on the counter.
Vent the siphon then pour out the infused raisins and rum into a container. They are ready to serve or can be stored in the refrigerator for weeks.
Place the maple-pecan milk in a pot. Add the iota and kappa carrageenan and blend well with an immersion blender. Bring to a boil and whisk for 30 to 60 seconds. Remove from the heat and pour into the serving cups or bowls. You can also let the milk cool slightly before pouring into the cups or bowls if they are not heat resistant.
Let the panna cotta cool at room temperature, or in an ice bath, then place in the refrigerator to finish setting. The panna cotta should last for several days covered in the refrigerator.
Remove the panna cotta from the refrigerator, top with the-banana chips and infused raisins then serve.