Bonuses and penalties granted by items, as well as spells and effects active before entering the mindscape, apply to these statistics, as such items and effects gain psychic equivalents when a creature enters a mindscape.
Items have psychic equivalents in the mindescape. All items that grant bonuses follow characters into the mindscape? I assume this includes weapons.
While engaged in a psychic duel, the combatants don't attack or cast spells normally. Instead, the combatants create psychic manifestations, abilities that can be used only within a binary mindscape; these represent changes to the mindscape's fabric (see Mindscapes).
Attacks are made using psychic manifestations, not normal weapons, however ...
Manifestations retain many of the manifestor's combat capabilities. The nature of the binary mindscape translates martial prowess into psychic parallels; after all, such prowess comes from training, muscle memory, and other subconscious components of the mind. This means that while martially inclined characters have fewer resources in a psychic duel, they can still make powerful attacks against their foes with great accuracy.
Very vague set of generic statements, and the source of much confusion in the game I am running. It is a given the martial retains his BAB, AC, etc. What is less well defined is class abilities and feats, and how they impact combat. A marital can make powerful attacks? How? If the fighter manifests his attack as swinging his sword, which does has a psychic equivalent, does power attack work? Weapon specialization? Improved Critical? Do the weapon properties, such as flaming, apply? How about strength/dexterity bonuses to damage?
Do feats granting extra attacks apply? Do feats and class abilities apply at all - or does the mindscape strip characters of all class abilities not specifically covered under psychic duels?
Psychic duels suck.
The martial stuff is just fluff to make them feel less lame about being relatively weaker in already lame and weak psychic duels. Class abilities, if I recall, can only affect psychic duels if they provide a pool resource (like grit or panache) to burn for psychic duel points. A Fighter is pretty restricted to burning attribute points and accepting that he'll be fatigued or exhausted afterwards.