diff --git a/bin/cheribsdtest/arm64/cheribsdtest_md.h b/bin/cheribsdtest/arm64/cheribsdtest_md.h
index 96232527bf70..bf2a1346af01 100644
--- a/bin/cheribsdtest/arm64/cheribsdtest_md.h
+++ b/bin/cheribsdtest/arm64/cheribsdtest_md.h
@@ -40,6 +40,9 @@
 
 #define	TRAPNO_STORE_CAP_PF	EXCP_DATA_ABORT_L
 #define	TRAPNO_LOAD_STORE	EXCP_DATA_ABORT_L
+#define	TRAPNO_LOAD_PF		EXCP_DATA_ABORT_L
+#define	TRAPNO_STORE_PF		EXCP_DATA_ABORT_L
+#define	TRAPNO_EXEC_PF		EXCP_INSN_ABORT_L
 
 #define	CHERI_SEAL_VIOLATION_EXCEPTION	0
 
diff --git a/bin/cheribsdtest/cheribsdtest_signal.c b/bin/cheribsdtest/cheribsdtest_signal.c
index 653efab5f836..b5cd47ee670c 100644
--- a/bin/cheribsdtest/cheribsdtest_signal.c
+++ b/bin/cheribsdtest/cheribsdtest_signal.c
@@ -296,3 +296,87 @@ CHERIBSDTEST(signal_returncap,
 	cheribsdtest_success();
 }
 #endif
+
+#ifndef __CHERI_PURE_CAPABILITY__
+/*
+ * Ensure that invalid addresses still raise SIGSEGV (rather than
+ * SIGPROT) for hybrid mode.
+ */
+CHERIBSDTEST(null_pointer_load_sigsegv,
+    "Check that loading from NULL raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_LOAD_PF)
+{
+	volatile char *p = (void *)(uintptr_t)1;
+
+	(void)*p;
+	cheribsdtest_failure_errx("Unexpected load from NULL pointer");
+}
+
+CHERIBSDTEST(null_pointer_store_sigsegv,
+    "Check that storing to NULL raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_STORE_PF)
+{
+	char *p = (void *)(uintptr_t)1;
+
+	*p = 1;
+	cheribsdtest_failure_errx("Unexpected store to NULL pointer");
+}
+
+CHERIBSDTEST(null_pointer_exec_sigsegv,
+    "Check that branching to NULL raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_EXEC_PF)
+{
+	void (*p)(void) = (void *)(uintptr_t)1;
+
+	p();
+	cheribsdtest_failure_errx("Unexpected branch to NULL pointer");
+}
+
+CHERIBSDTEST(kernel_pointer_load_sigsegv,
+    "Check that loading from a kernel address raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_LOAD_PF)
+{
+	volatile char *p = (void *)(uintptr_t)VM_MIN_KERNEL_ADDRESS;
+
+	(void)*p;
+	cheribsdtest_failure_errx("Unexpected load from kernel address");
+}
+
+CHERIBSDTEST(kernel_pointer_store_sigsegv,
+    "Check that storing to a kernel address raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_STORE_PF)
+{
+	char *p = (void *)(uintptr_t)VM_MIN_KERNEL_ADDRESS;
+
+	*p = 1;
+	cheribsdtest_failure_errx("Unexpected store to kernel address");
+}
+
+CHERIBSDTEST(kernel_pointer_exec_sigsegv,
+    "Check that branching to a kernel address raises SIGSEGV",
+    .ct_flags = CT_FLAG_SIGNAL | CT_FLAG_SI_CODE | CT_FLAG_SI_TRAPNO,
+    .ct_signum = SIGSEGV,
+    .ct_si_code = SEGV_MAPERR,
+    .ct_si_trapno = TRAPNO_EXEC_PF)
+{
+	void (*p)(void) = (void *)(uintptr_t)VM_MIN_KERNEL_ADDRESS;
+
+	p();
+	cheribsdtest_failure_errx("Unexpected branch to kernel address");
+}
+#endif
diff --git a/bin/cheribsdtest/riscv/cheribsdtest_md.h b/bin/cheribsdtest/riscv/cheribsdtest_md.h
index 763b4c22e60e..4e21fd9bbac8 100644
--- a/bin/cheribsdtest/riscv/cheribsdtest_md.h
+++ b/bin/cheribsdtest/riscv/cheribsdtest_md.h
@@ -41,6 +41,9 @@
 #define	TRAPNO_CHERI		(SCAUSE_CHERI)
 #define	TRAPNO_STORE_CAP_PF	(SCAUSE_STORE_AMO_CAP_PAGE_FAULT)
 #define	TRAPNO_LOAD_STORE	(SCAUSE_CHERI)
+#define	TRAPNO_LOAD_PF		(SCAUSE_LOAD_PAGE_FAULT)
+#define	TRAPNO_STORE_PF		(SCAUSE_STORE_PAGE_FAULT)
+#define	TRAPNO_EXEC_PF		(SCAUSE_INST_PAGE_FAULT)
 
 #define	CHERI_SEAL_VIOLATION_EXCEPTION	1
 
diff --git a/sys/arm64/arm64/trap.c b/sys/arm64/arm64/trap.c
index a3283a4c2ab3..53658aed48ae 100644
--- a/sys/arm64/arm64/trap.c
+++ b/sys/arm64/arm64/trap.c
@@ -346,8 +346,20 @@ cap_abort(struct thread *td, struct trapframe *frame, uint64_t esr,
 		printf(" esr:         %.8lx\n", esr);
 	}
 
-	call_trapsignal(td, SIGPROT, cheri_esr_to_sicode(esr),
-	    (void * __capability)frame->tf_elr, ESR_ELx_EXCEPTION(esr));
+	/*
+	 * User accesses to invalid addresses in a compat64 process
+	 * raise SIGSEGV under a non-CHERI kernel via a non-capability
+	 * data abort.  With CHERI however, those accesses can raise a
+	 * capability abort if they are outside the bounds of the user
+	 * DDC.  Map those accesses to SIGSEGV instead of SIGPROT.
+	 */
+	if (!SV_PROC_FLAG(td->td_proc, SV_CHERI) &&
+	    far > CHERI_CAP_USER_DATA_BASE + CHERI_CAP_USER_DATA_LENGTH)
+		call_trapsignal(td, SIGSEGV, SEGV_MAPERR,
+		    (void * __capability)(uintcap_t)far, ESR_ELx_EXCEPTION(esr));
+	else
+		call_trapsignal(td, SIGPROT, cheri_esr_to_sicode(esr),
+		    (void * __capability)frame->tf_elr, ESR_ELx_EXCEPTION(esr));
 	userret(td, frame);
 }
 #endif
diff --git a/sys/riscv/riscv/trap.c b/sys/riscv/riscv/trap.c
index 8daba5a1e63e..e67b4eb6fa58 100644
--- a/sys/riscv/riscv/trap.c
+++ b/sys/riscv/riscv/trap.c
@@ -653,6 +653,49 @@ do_trap_user(struct trapframe *frame)
 	case SCAUSE_CHERI:
 		if (log_user_cheri_exceptions)
 			dump_cheri_exception(frame);
+
+		/*
+		 * User accesses to invalid addresses in a compat64
+		 * process raise SIGSEGV under a non-CHERI kernel via
+		 * a page fault exception.  With CHERI however, those
+		 * accesses can raise a capability abort if they are
+		 * outside the bounds of the user DDC.  Map those
+		 * accesses to SIGSEGV instead of SIGPROT.
+		 */
+		if (!SV_PROC_FLAG(td->td_proc, SV_CHERI) &&
+		    TVAL_CAP_CAUSE(frame->tf_stval) == CHERI_EXCCODE_LENGTH) {
+			if (TVAL_CAP_IDX(frame->tf_stval) == 32 /* PCC */ &&
+			    cheri_getbase(frame->tf_sepc) ==
+			    CHERI_CAP_USER_DATA_BASE &&
+			    cheri_getlen(frame->tf_sepc) ==
+			    CHERI_CAP_USER_DATA_LENGTH) {
+				call_trapsignal(td, SIGSEGV, SEGV_MAPERR,
+				    (ptraddr_t)frame->tf_sepc,
+				    SCAUSE_INST_PAGE_FAULT, 0);
+				userret(td, frame);
+				break;
+			}
+
+			/*
+			 * To fully mimic SIGSEGV, this would need to
+			 * decode the instruction to compute the
+			 * effective faulting address and access type
+			 * (R/W) to determine the non-CHERI exception
+			 * that would have been raised.
+			 */
+			if (TVAL_CAP_IDX(frame->tf_stval) == 33 /* DDC */ &&
+			    cheri_getbase(frame->tf_ddc) ==
+			    CHERI_CAP_USER_DATA_BASE &&
+			    cheri_getlen(frame->tf_ddc) ==
+			    CHERI_CAP_USER_DATA_LENGTH) {
+				call_trapsignal(td, SIGSEGV, SEGV_MAPERR,
+				    0 /* XXX */,
+				    SCAUSE_LOAD_PAGE_FAULT /* XXX */, 0);
+				userret(td, frame);
+				break;
+			}
+		}
+
 		call_trapsignal(td, SIGPROT,
 		    cheri_stval_to_sicode(frame->tf_stval), frame->tf_sepc,
 		    exception, TVAL_CAP_IDX(frame->tf_stval));