I'm sorry my English is not good.
In protection mode, Out of segment limit will trigger #GP. But I have a strange problem on 64 bit processor(I7-3840,i5-3540): initialize DS or ES to 0 in real mode, then switch to protection mode, and still use the loaded descriptor cache value of real mode:(DS_base_address = 0, limit = 0xFFFF.) At this time, if I access the memory over 0xFFFF through DS or ES, it will not trigger #GP.
code snippet
.code16
start.1:
cli
xor cx,cx #
mov ds,cx
mov es,cx
mov ss,cx
mov sp,0x7c00
main:
lgdt gdtr
lidt idtr
mov eax,cr0
or al,1
mov cr0,eax
jmp $+2 #CS_BASE=DS_BASE=ES_BASE=0
#CS_SEL=DS_SEL=ES_SEL=0
#LIMIT = 0xFFFF
#
mov edi,0x40000 #DS ES 16bit segment ,exceeding the segment limit
mov [edi],eax #i386 will trigger #GP
jmp $