Heat the peanut oil in a large pot and sear the lobster pieces vigorously for about 10 minutes.
Add the peeled and chopped vegetables, garlic, thyme, bay leaves, and all the spices. Let everything sauté for another 10 minutes while stirring.
Deglaze with the white wine, add the tomato paste and fish scraps. Fill the pot to the top with water and let the soup simmer gently for an hour.
Strain the broth in several batches and press the solid ingredients well to capture all the juices.
Melt the butter in the pot and add the flour all at once. Cook this for 2-3 minutes until the flour taste disappears.
Add part of the strained broth and whisk out the lumps. Then add the rest of the broth, bring to a boil, and optionally blend with an immersion blender to smooth the soup.
Taste and adjust seasoning if necessary. If you want to make the bisque creamy, add a splash of cream to the bowls, not to the large pot, to prevent the bisque from turning sour quickly.
Scoop the bisque into bowls and finish with pieces of lobster and finely chopped parsley.
Tips
Garnish the bisque with shrimp or langoustines for an extra luxury touch. You can also use the lobster bisque as a basis for shrimp croquettes.